\relax 
\bibstyle{desy15-039}
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\providecommand*\HyPL@Entry[1]{}
\HyPL@Entry{0 << /S /D >> }
\HyPL@Entry{1 << /S /D >> }
\citation{saturation}
\citation{HERAIcombi}
\citation{Collaboration:2009bp}
\citation{Collaboration:2009kv}
\citation{Adloff:1999ah}
\citation{Adloff:2000qj}
\citation{Adloff:2003uh}
\citation{H1allhQ2}
\citation{H1FL1}
\citation{H1FL2}
\citation{Breitweg:1997hz}
\citation{Breitweg:2000yn}
\citation{Breitweg:1998dz}
\citation{Chekanov:2001qu}
\citation{zeuscc97}
\citation{Chekanov:2002ej}
\citation{Chekanov:2002zs}
\citation{Chekanov:2003yv}
\citation{Chekanov:2003vw}
\citation{ZEUS2NCe}
\citation{ZEUS2CCe}
\citation{ZEUS2NCp}
\citation{ZEUS2CCp}
\citation{ZEUSFL}
\citation{HERAveragerweb}
\citation{HERAfitter}
\citation{HERAfitterweb}
\citation{Collaboration:2009bp}
\citation{glazov}
\citation{Gribov:1972ri}
\citation{Gribov:1972rt}
\citation{Lipatov:1974qm}
\citation{Dokshitzer:1977sg}
\citation{Altarelli:1977zs}
\citation{HERAIcombi}
\citation{HERAPDF15}
\newlabel{sec:int}{{1}{5}{Introduction \label {sec:int}\relax }{section.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction }{5}{section.1}}
\citation{Jimenez-Delgado:2014twa}
\citation{Martin:2009iq}
\citation{MMHT2014}
\citation{CTEQ6L}
\citation{CT10NLO}
\citation{ABM1}
\citation{ABM2}
\citation{ABM3}
\citation{Ball:2008by}
\citation{NNPDF3.0}
\citation{CooperSarkar:1988}
\citation{HERAccombi}
\citation{zeus9697jets}
\citation{zeusdijets}
\citation{h1lowq2jets}
\citation{h1highq2oldjets}
\citation{h1highq2newjets}
\citation{PDG12}
\@writefile{toc}{\contentsline {section}{\numberline {2}Cross sections and parton distributions}{6}{section.2}}
\newlabel{xsecns}{{2}{6}{Cross sections and parton distributions\relax }{section.2}{}}
\newlabel{ncsi}{{1}{6}{Cross sections and parton distributions\relax }{equation.1}{}}
\citation{PDG12}
\citation{PhysRevLett.22.156}
\newlabel{strf}{{2}{7}{Cross sections and parton distributions\relax }{equation.2}{}}
\newlabel{eq:fl}{{3}{7}{Cross sections and parton distributions\relax }{equation.3}{}}
\newlabel{ncfu}{{4}{7}{Cross sections and parton distributions\relax }{equation.4}{}}
\newlabel{ud}{{5}{7}{Cross sections and parton distributions\relax }{equation.5}{}}
\newlabel{valq}{{6}{7}{Cross sections and parton distributions\relax }{equation.6}{}}
\newlabel{eqn:txf3}{{7}{7}{Cross sections and parton distributions\relax }{equation.7}{}}
\citation{PDG12}
\citation{Gribov:1972ri}
\citation{Gribov:1972rt}
\citation{Lipatov:1974qm}
\citation{Dokshitzer:1977sg}
\citation{Altarelli:1977zs}
\citation{vanNeerven:10}
\citation{Moch:06}
\citation{h1det}
\citation{h1det2}
\citation{spacalc}
\citation{ZEUSDETECTOR}
\citation{ZEUSCAL}
\citation{ZEUSCTD}
\citation{ZEUSMVD}
\citation{Max0805.3334}
\newlabel{eqn:xf3gz_simple}{{8}{8}{Cross sections and parton distributions\relax }{equation.8}{}}
\newlabel{Rnc}{{9}{8}{Cross sections and parton distributions\relax }{equation.9}{}}
\newlabel{ccsi}{{10}{8}{Cross sections and parton distributions\relax }{equation.10}{}}
\newlabel{ccstf}{{11}{8}{Cross sections and parton distributions\relax }{equation.11}{}}
\newlabel{ccupdo}{{12}{8}{Cross sections and parton distributions\relax }{equation.12}{}}
\citation{H1allhQ2}
\citation{H1lumi1}
\citation{H1lumi2}
\citation{Zlumi1}
\citation{Zlumi2}
\citation{Zlumi3}
\newlabel{sec:meas}{{3}{9}{Measurements \label {sec:meas}\relax }{section.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Measurements }{9}{section.3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Detectors}{9}{subsection.3.1}}
\newlabel{sec:detectors}{{3.1}{9}{Detectors\relax }{subsection.3.1}{}}
\citation{yjb}
\citation{ysigma}
\citation{Collaboration:2009bp}
\citation{Collaboration:2009kv}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Reconstruction of kinematics}{10}{subsection.3.2}}
\newlabel{diskine}{{3.2}{10}{Reconstruction of kinematics\relax }{subsection.3.2}{}}
\newlabel{eq:emeth}{{13}{10}{Reconstruction of kinematics\relax }{equation.13}{}}
\newlabel{yjb}{{14}{10}{Reconstruction of kinematics\relax }{equation.14}{}}
\newlabel{eq:thh}{{15}{10}{Reconstruction of kinematics\relax }{equation.15}{}}
\newlabel{eq:sigma}{{16}{10}{Reconstruction of kinematics\relax }{equation.16}{}}
\newlabel{eq:yh}{{17}{10}{Reconstruction of kinematics\relax }{equation.17}{}}
\citation{Adloff:1999ah}
\citation{Breitweg:2000yn}
\citation{ysigma}
\citation{standa}
\citation{hoegerda}
\citation{Derrick:1996hn}
\citation{HERAIcombi}
\citation{HERAIcombi}
\newlabel{eq:sigma2}{{18}{11}{Reconstruction of kinematics\relax }{equation.18}{}}
\newlabel{eq:esigma}{{19}{11}{Reconstruction of kinematics\relax }{equation.19}{}}
\newlabel{qxda}{{20}{11}{Reconstruction of kinematics\relax }{equation.20}{}}
\newlabel{eq:ptmeth}{{21}{11}{Reconstruction of kinematics\relax }{equation.21}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Inclusive data samples}{11}{subsection.3.3}}
\citation{Collaboration:2009bp}
\citation{Breitweg:1998dz}
\citation{Adloff:1997mf}
\citation{Collaboration:2009bp}
\citation{H1FL1}
\citation{H1FL2}
\citation{ZEUSFL}
\citation{HERAccombi}
\citation{zeusf2b}
\citation{h1f2b}
\citation{zeus9697jets}
\citation{zeusdijets}
\citation{h1lowq2jets}
\citation{h1highq2oldjets}
\citation{h1highq2newjets}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Data on charm, beauty and jet production}{12}{subsection.3.4}}
\newlabel{sec:adddata}{{3.4}{12}{Data on charm, beauty and jet production\relax }{subsection.3.4}{}}
\citation{HERAfitter}
\citation{HERAfitterweb}
\citation{Collaboration:2009bp}
\citation{Lastovicka:2002hw}
\citation{GolecBiernat:1998js}
\newlabel{sec:comb}{{4}{13}{Combination of the inclusive cross sections \label {sec:comb}\relax }{section.4}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Combination of the inclusive cross sections }{13}{section.4}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Common $\boldsymbol  {\sqrt  {s}}$ values, common $\boldsymbol  {(x_{\rm  Bj},Q^2)}$ grids and translation of data}{13}{subsection.4.1}}
\newlabel{subsec:extrapol}{{4.1}{13}{Common $\boldsymbol {\sqrt {s}}$ values, common $\boldsymbol {(x_{\rm Bj},Q^2)}$ grids and translation of data\relax }{subsection.4.1}{}}
\citation{HERAveragerweb}
\citation{Collaboration:2009bp}
\newlabel{sec:comb:averaging}{{4.2}{14}{Averaging cross sections \label {sec:comb:averaging}\relax }{subsection.4.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Averaging cross sections }{14}{subsection.4.2}}
\newlabel{eq:ave1}{{22}{14}{Averaging cross sections \label {sec:comb:averaging}\relax }{equation.22}{}}
\citation{HERAIcombi}
\citation{fullcorr}
\newlabel{eq:tot}{{23}{15}{Averaging cross sections \label {sec:comb:averaging}\relax }{equation.23}{}}
\newlabel{eq:ave1tot}{{24}{15}{Averaging cross sections \label {sec:comb:averaging}\relax }{equation.24}{}}
\citation{HERAIcombi}
\citation{HERAIcombi}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Combination procedure}{16}{subsection.4.3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.4}Consistency of the data}{16}{subsection.4.4}}
\newlabel{subsubsec:proc_errors}{{4.5}{16}{Procedural uncertainties \label {subsubsec:proc_errors}\relax }{subsection.4.5}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5}Procedural uncertainties }{16}{subsection.4.5}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.5.1}Multiplicative versus additive treatment of systematic uncertainties}{16}{subsubsection.4.5.1}}
\newlabel{subsec:procerr1}{{4.5.1}{16}{Multiplicative versus additive treatment of systematic uncertainties\relax }{subsubsection.4.5.1}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.5.2}Correlations between systematic uncertainties on different data sets}{17}{subsubsection.4.5.2}}
\newlabel{subsec:procerr2}{{4.5.2}{17}{Correlations between systematic uncertainties on different data sets\relax }{subsubsection.4.5.2}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.5.3}Pull distribution of correlated systematic uncertainties}{17}{subsubsection.4.5.3}}
\citation{fullcorr}
\citation{HERAIcombi}
\newlabel{subsec:comb:results}{{5}{18}{Combined inclusive $\mathbold {e^{\pm }p}$ cross sections\label {subsec:comb:results}\relax }{section.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Combined inclusive $\mathbold  {e^{\pm }p}$ cross sections}{18}{section.5}}
\citation{HERAIcombi}
\citation{Gribov:1972ri}
\citation{Gribov:1972rt}
\citation{Lipatov:1974qm}
\citation{Dokshitzer:1977sg}
\citation{Altarelli:1977zs}
\citation{MSbar}
\citation{QCDNUM}
\citation{HERAfitter}
\citation{HERAfitterweb}
\citation{HERAIcombi}
\citation{saturation}
\citation{Thorne:1997ga}
\citation{Thorne:2006qt}
\citation{Thorne:RTopt}
\@writefile{toc}{\contentsline {section}{\numberline {6}QCD analysis}{19}{section.6}}
\newlabel{sec:qcdan}{{6}{19}{QCD analysis\relax }{section.6}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Theoretical formalism and settings}{19}{subsection.6.1}}
\newlabel{sec:choices}{{6.1}{19}{Theoretical formalism and settings\relax }{subsection.6.1}{}}
\citation{HERAccombi}
\citation{HERAccombi}
\citation{zeusf2b}
\citation{h1f2b}
\citation{PDG12}
\citation{PDG12}
\citation{CTEQ6L}
\citation{Martin:2009iq}
\citation{Martin:2009iq}
\citation{CooperSarkar:1988}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Parameterisation}{20}{subsection.6.2}}
\newlabel{sec:param}{{6.2}{20}{Parameterisation\relax }{subsection.6.2}{}}
\newlabel{eqn:pdf}{{26}{20}{Parameterisation\relax }{equation.26}{}}
\newlabel{eq:xgpar}{{27}{20}{Parameterisation\relax }{equation.27}{}}
\newlabel{eq:xuvpar}{{28}{20}{Parameterisation\relax }{equation.27}{}}
\newlabel{eq:xdvpar}{{29}{20}{Parameterisation\relax }{equation.27}{}}
\newlabel{eq:xubarpar}{{30}{20}{Parameterisation\relax }{equation.27}{}}
\newlabel{eq:xdbarpar}{{31}{20}{Parameterisation\relax }{equation.27}{}}
\citation{Martin:2009iq}
\citation{Nadolsky:2008zw}
\citation{atlasstrange}
\citation{H1allhQ2}
\citation{MC1}
\citation{MC2}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.3}Definition of $\boldsymbol  {\chi ^2}$}{21}{subsection.6.3}}
\newlabel{sec:defc}{{6.3}{21}{Definition of $\boldsymbol {\chi ^2}$\relax }{subsection.6.3}{}}
\newlabel{eq:avefit}{{32}{21}{Definition of $\boldsymbol {\chi ^2}$\relax }{equation.32}{}}
\citation{Martin:2009iq}
\citation{Nadolsky:2008zw}
\citation{atlasstrange}
\citation{HERMES1}
\citation{HERMES2}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.4}Experimental uncertainties}{22}{subsection.6.4}}
\newlabel{sec:exp:unc}{{6.4}{22}{Experimental uncertainties\relax }{subsection.6.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.5}Model and parameterisation uncertainties}{22}{subsection.6.5}}
\newlabel{sec:assumpt}{{6.5}{22}{Model and parameterisation uncertainties\relax }{subsection.6.5}{}}
\citation{Thorne:RTopt}
\citation{Cacciari:1998it}
\citation{Forte:2010ta}
\citation{ACOT}
\citation{Bertone:2013vaa}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.6}Total uncertainties}{23}{subsection.6.6}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.7}Alternative values of $\boldsymbol  {\alpha _s(M_Z^2)}$}{23}{subsection.6.7}}
\newlabel{sec:altasmz}{{6.7}{23}{Alternative values of $\boldsymbol {\asmz }$\relax }{subsection.6.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.8}Alternative forms of parameterisation}{23}{subsection.6.8}}
\newlabel{sec:altparam}{{6.8}{23}{Alternative forms of parameterisation\relax }{subsection.6.8}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.9}Alternative heavy-flavour schemes}{23}{subsection.6.9}}
\newlabel{sec:althfs}{{6.9}{23}{Alternative heavy-flavour schemes\relax }{subsection.6.9}{}}
\citation{Gluck:1994}
\citation{QCDNUM}
\citation{MSbar}
\citation{OPENQCDRAD}
\citation{ABM1}
\citation{ABM2}
\citation{ABM3}
\citation{HERAccombi}
\citation{HERAccombi}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.10}Adding data on charm production to the HERAPDF2.0 fit}{24}{subsection.6.10}}
\newlabel{sec:addcharm}{{6.10}{24}{Adding data on charm production to the HERAPDF2.0 fit\relax }{subsection.6.10}{}}
\citation{PDG12}
\citation{nlojet1}
\citation{nlojet2}
\citation{fastnlo1}
\citation{fastnlo2}
\citation{fastnlo3}
\citation{zeus9697jets}
\citation{zeusdijets}
\citation{h1lowq2jets}
\citation{h1highq2oldjets}
\citation{h1highq2newjets}
\citation{Spiesberger:95}
\citation{zeus9697jets}
\citation{zeusdijets}
\citation{h1lowq2jets}
\citation{h1highq2oldjets}
\citation{h1highq2newjets}
\citation{zeus9697jets}
\citation{zeusdijets}
\citation{h1lowq2jets}
\citation{h1highq2oldjets}
\citation{h1highq2newjets}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.11}Adding data on jet production to the HERAPDF2.0 fit}{25}{subsection.6.11}}
\newlabel{sec:addjfit}{{6.11}{25}{Adding data on jet production to the HERAPDF2.0 fit\relax }{subsection.6.11}{}}
\citation{GMVFNSdiff}
\citation{saturation}
\citation{Caola}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.12}The {$\chi ^2$} values of the HERAPDF2.0 fits and alternative {$Q^2_{\rm  min}$}}{26}{subsection.6.12}}
\newlabel{sec:cuts}{{6.12}{26}{The {$\chi ^2$} values of the HERAPDF2.0 fits and alternative {$Q^2_{\rm min}$}\relax }{subsection.6.12}{}}
\@writefile{toc}{\contentsline {section}{\numberline {7}HERAPDF2.0}{27}{section.7}}
\newlabel{sec:pdf20}{{7}{27}{HERAPDF2.0\relax }{section.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1}HERAPDF2.0 NLO, NNLO and 2.0AG}{28}{subsection.7.1}}
\newlabel{sec:pdfs:orders}{{7.1}{28}{HERAPDF2.0 NLO, NNLO and 2.0AG\relax }{subsection.7.1}{}}
\citation{MMHT2014}
\citation{CT10NLO}
\citation{CT10NNLO}
\citation{NNPDF3.0}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.1.1}Comparisons to inclusive HERA data}{29}{subsubsection.7.1.1}}
\newlabel{sec:comp:fit:data}{{7.1.1}{29}{Comparisons to inclusive HERA data\relax }{subsubsection.7.1.1}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.1.2}Comparisons to HERAPDF1.0 and 1.5}{29}{subsubsection.7.1.2}}
\citation{Caola}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.1.3}Comparisons to other sets of PDFs}{30}{subsubsection.7.1.3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.2}HERAPDF2.0HiQ2}{30}{subsection.7.2}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.2.1}Comparison of HERADPF2.0HiQ2 to HERAPDF2.0}{30}{subsubsection.7.2.1}}
\citation{ABM3}
\citation{NNPDF3.0}
\citation{NNPDF3.0}
\citation{NNPDFadd}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.2.2}Comparison of HERAPDF2.0HiQ2 to data}{31}{subsubsection.7.2.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3}HERAPDF2.0FF}{31}{subsection.7.3}}
\citation{PDG12}
\citation{HERAccombi}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.4}HERAPDF2.0Jets}{32}{subsection.7.4}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.4.1}PDFs and measurement of $\mathbold  {\alpha _s(M_Z^2)}$}{32}{subsubsection.7.4.1}}
\citation{h1lowq2jets}
\citation{h1highq2oldjets}
\citation{zeus9697jets}
\citation{zeusdijets}
\citation{h1highq2newjets}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {7.4.2}Comparison of HERAPDF2.0Jets to data}{33}{subsubsection.7.4.2}}
\newlabel{sec:comp:fit:jets}{{7.4.2}{33}{Comparison of HERAPDF2.0Jets to data\relax }{subsubsection.7.4.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Electroweak effects and scaling violations}{33}{section.8}}
\newlabel{sec:legplots}{{8}{33}{Electroweak effects and scaling violations\relax }{section.8}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {8.1}Electroweak unification}{33}{subsection.8.1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {8.2}The structure function {$xF_3^{\gamma Z}$}}{34}{subsection.8.2}}
\newlabel{eqn:xf3int}{{33}{34}{The structure function {$xF_3^{\gamma Z}$}\relax }{equation.33}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {8.3}Helicity effects in CC interactions}{34}{subsection.8.3}}
\citation{bcdms}
\citation{nmc}
\@writefile{toc}{\contentsline {subsection}{\numberline {8.4}Scaling violations}{35}{subsection.8.4}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Summary and Conclusions}{35}{section.9}}
\citation{PDG14}
\@writefile{toc}{\contentsline {section}{\numberline {10}Acknowledgements}{36}{section.10}}
\bibdata{desy15-039}
\bibcite{saturation}{{1}{2011}{{Cooper-Sarkar and Devenish}}{{}}}
\bibcite{HERAIcombi}{{2}{2010{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{Collaboration:2009bp}{{3}{2009{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{Collaboration:2009kv}{{4}{2009{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{Adloff:1999ah}{{5}{2000}{{Adloff \emph  {et~al.}}}{{}}}
\bibcite{Adloff:2000qj}{{6}{2001{}}{{Adloff \emph  {et~al.}}}{{}}}
\bibcite{Adloff:2003uh}{{7}{2003}{{Adloff \emph  {et~al.}}}{{}}}
\bibcite{H1allhQ2}{{8}{2012{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{H1FL1}{{9}{2014}{{Andreev \emph  {et~al.}}}{{}}}
\bibcite{H1FL2}{{10}{2011}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{Breitweg:1997hz}{{11}{1997}{{Breitweg \emph  {et~al.}}}{{}}}
\bibcite{Breitweg:2000yn}{{12}{2000{}}{{Breitweg \emph  {et~al.}}}{{}}}
\bibcite{Breitweg:1998dz}{{13}{1999}{{Breitweg \emph  {et~al.}}}{{}}}
\bibcite{Chekanov:2001qu}{{14}{2001}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{zeuscc97}{{15}{2000{}}{{Breitweg \emph  {et~al.}}}{{}}}
\bibcite{Chekanov:2002ej}{{16}{2003{}}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{Chekanov:2002zs}{{17}{2002{}}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{Chekanov:2003yv}{{18}{2004}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{Chekanov:2003vw}{{19}{2003{}}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{ZEUS2NCe}{{20}{2009{}}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{ZEUS2CCe}{{21}{2009{}}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{ZEUS2NCp}{{22}{2013}{{Abramowicz \emph  {et~al.}}}{{}}}
\bibcite{ZEUS2CCp}{{23}{2010{}}{{Abramowicz \emph  {et~al.}}}{{}}}
\bibcite{ZEUSFL}{{24}{2014{}}{{Abramowicz \emph  {et~al.}}}{{}}}
\bibcite{HERAveragerweb}{{25}{}{{HER}}{{}}}
\bibcite{HERAfitter}{{26}{2014}{{Alekhin \emph  {et~al.}}}{{}}}
\bibcite{HERAfitterweb}{{27}{}{{HER}}{{}}}
\bibcite{glazov}{{28}{2005}{{Glazov}}{{}}}
\bibcite{Gribov:1972ri}{{29}{1972{}}{{Gribov and Lipatov}}{{}}}
\bibcite{Gribov:1972rt}{{30}{1972{}}{{Gribov and Lipatov}}{{}}}
\bibcite{Lipatov:1974qm}{{31}{1975}{{Lipatov}}{{}}}
\bibcite{Dokshitzer:1977sg}{{32}{1977}{{Dokshitzer}}{{}}}
\bibcite{Altarelli:1977zs}{{33}{1977}{{Altarelli and Parisi}}{{}}}
\bibcite{HERAPDF15}{{34}{}{{HER}}{{}}}
\bibcite{Jimenez-Delgado:2014twa}{{35}{2014}{{Jimenez-Delgado and Reya}}{{}}}
\bibcite{Martin:2009iq}{{36}{2009}{{Martin \emph  {et~al.}}}{{Martin, Stirling, Thorne, and Watt}}}
\bibcite{MMHT2014}{{37}{2014}{{Harland-Lang \emph  {et~al.}}}{{Harland-Lang, Martin, Motylinski, and Thorne}}}
\bibcite{CTEQ6L}{{38}{2002}{{Pumplin \emph  {et~al.}}}{{}}}
\bibcite{CT10NLO}{{39}{2010}{{Guzzi \emph  {et~al.}}}{{}}}
\bibcite{ABM1}{{40}{2009{}}{{Alekhin \emph  {et~al.}}}{{}}}
\bibcite{ABM2}{{41}{2009{}}{{Alekhin \emph  {et~al.}}}{{}}}
\bibcite{ABM3}{{42}{2012}{{Alekhin \emph  {et~al.}}}{{}}}
\bibcite{Ball:2008by}{{43}{2009}{{Ball \emph  {et~al.}}}{{}}}
\bibcite{NNPDF3.0}{{44}{2015}{{Ball \emph  {et~al.}}}{{}}}
\bibcite{CooperSarkar:1988}{{45}{1988}{{Cooper-Sarkar \emph  {et~al.}}}{{}}}
\bibcite{HERAccombi}{{46}{2013}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{zeus9697jets}{{47}{2002{}}{{Chekanov \emph  {et~al.}}}{{}}}
\bibcite{zeusdijets}{{48}{2010{}}{{Abramowicz \emph  {et~al.}}}{{}}}
\bibcite{h1lowq2jets}{{49}{2010{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{h1highq2oldjets}{{50}{2007}{{Aktas \emph  {et~al.}}}{{}}}
\bibcite{h1highq2newjets}{{51}{2015}{{Andreev \emph  {et~al.}}}{{}}}
\bibcite{PDG12}{{52}{2012}{{{J. Beringer {\it  et al.} (Particle Data Group)}}}{{}}}
\bibcite{PhysRevLett.22.156}{{53}{1969}{{Callan and Gross}}{{}}}
\bibcite{vanNeerven:10}{{54}{2000}{{van Neerven and Vogt}}{{}}}
\bibcite{Moch:06}{{55}{2006}{{Moch \emph  {et~al.}}}{{Moch, Vermaseren, and Vogt}}}
\bibcite{h1det}{{56}{1997{}}{{Abt \emph  {et~al.}}}{{}}}
\bibcite{h1det2}{{57}{1997{}}{{Abt \emph  {et~al.}}}{{}}}
\bibcite{spacalc}{{58}{1997}{{Appuhn \emph  {et~al.}}}{{}}}
\bibcite{ZEUSDETECTOR}{{59}{}{{{ZEUS Collaboration, U. Holm (editor)}}}{{}}}
\bibcite{ZEUSCAL}{{60}{1991}{{Derrick \emph  {et~al.}}}{{}}}
\bibcite{ZEUSCTD}{{61}{1994}{{Foster \emph  {et~al.}}}{{}}}
\bibcite{ZEUSMVD}{{62}{2007}{{Polini \emph  {et~al.}}}{{}}}
\bibcite{Max0805.3334}{{63}{2008}{{Klein and Yoshida}}{{}}}
\bibcite{H1lumi1}{{64}{2002}{{Andreev \emph  {et~al.}}}{{}}}
\bibcite{H1lumi2}{{65}{2012{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{Zlumi1}{{66}{2001}{{Andruszk\'ow \emph  {et~al.}}}{{}}}
\bibcite{Zlumi2}{{67}{1994}{{Derrick \emph  {et~al.}}}{{}}}
\bibcite{Zlumi3}{{68}{2014}{{Adamczyk \emph  {et~al.}}}{{}}}
\bibcite{yjb}{{69}{1979}{{Jacquet and Blondel}}{{}}}
\bibcite{ysigma}{{70}{1995}{{Bassler and Bernardi}}{{}}}
\bibcite{standa}{{71}{1992}{{Bentvelsen \emph  {et~al.}}}{{}}}
\bibcite{hoegerda}{{72}{1992}{{Hoeger}}{{}}}
\bibcite{Derrick:1996hn}{{73}{1996}{{Derrick \emph  {et~al.}}}{{}}}
\bibcite{Adloff:1997mf}{{74}{1997}{{Adloff \emph  {et~al.}}}{{}}}
\bibcite{zeusf2b}{{75}{2014{}}{{Abramowicz \emph  {et~al.}}}{{}}}
\bibcite{h1f2b}{{76}{2009{}}{{Aaron \emph  {et~al.}}}{{}}}
\bibcite{Lastovicka:2002hw}{{77}{2002}{{Lastovicka}}{{}}}
\bibcite{GolecBiernat:1998js}{{78}{1998}{{Golec-Biernat and W{\"u}sthoff}}{{}}}
\bibcite{fullcorr}{{79}{}{{ful}}{{}}}
\bibcite{MSbar}{{80}{1993}{{Fanchiotti and Sirlin}}{{}}}
\bibcite{QCDNUM}{{81}{2011}{{Botje}}{{}}}
\bibcite{Thorne:1997ga}{{82}{1998}{{Thorne and Roberts}}{{}}}
\bibcite{Thorne:2006qt}{{83}{2006}{{Thorne}}{{}}}
\bibcite{Thorne:RTopt}{{84}{2012}{{Thorne}}{{}}}
\bibcite{Nadolsky:2008zw}{{85}{2008}{{Nadolsky \emph  {et~al.}}}{{}}}
\bibcite{atlasstrange}{{86}{2012}{{Golec-Biernat and W{\"u}sthoff}}{{}}}
\bibcite{MC1}{{87}{1998}{{Giele and Keller}}{{}}}
\bibcite{MC2}{{88}{2001}{{Giele \emph  {et~al.}}}{{Giele, Keller, and Kosower}}}
\bibcite{HERMES1}{{89}{2008}{{Airapetian \emph  {et~al.}}}{{}}}
\bibcite{HERMES2}{{90}{2014}{{Airapetian \emph  {et~al.}}}{{}}}
\bibcite{Cacciari:1998it}{{91}{1998}{{Cacciari \emph  {et~al.}}}{{Cacciari, Greco, and Nason}}}
\bibcite{Forte:2010ta}{{92}{2010}{{Forte \emph  {et~al.}}}{{Forte, Laenen, Nason, and Rojo}}}
\bibcite{ACOT}{{93}{1994}{{Aivazis \emph  {et~al.}}}{{}}}
\bibcite{Bertone:2013vaa}{{94}{2014}{{Bertone \emph  {et~al.}}}{{Bertone, Carrazza, and Rojo}}}
\bibcite{Gluck:1994}{{95}{1994}{{{Gl\"uck, M. and Reya, E. and Stratmann, M.}}}{{}}}
\bibcite{OPENQCDRAD}{{96}{}{{Alekhin}}{{}}}
\bibcite{nlojet1}{{97}{1999}{{Nagy and Trocsany}}{{}}}
\bibcite{nlojet2}{{98}{2002}{{Nagy}}{{}}}
\bibcite{fastnlo1}{{99}{2001{}}{{Adloff \emph  {et~al.}}}{{}}}
\bibcite{fastnlo2}{{100}{2007}{{Kluge \emph  {et~al.}}}{{}}}
\bibcite{fastnlo3}{{101}{2013}{{Britzger \emph  {et~al.}}}{{}}}
\bibcite{Spiesberger:95}{{102}{1995}{{Spiesberger}}{{}}}
\bibcite{GMVFNSdiff}{{103}{2008}{{Thorne and Tung}}{{}}}
\bibcite{Caola}{{104}{2010}{{Caola \emph  {et~al.}}}{{}}}
\bibcite{CT10NNLO}{{105}{2014}{{Guzzi \emph  {et~al.}}}{{}}}
\bibcite{NNPDFadd}{{106}{2011}{{Ball \emph  {et~al.}}}{{}}}
\bibcite{bcdms}{{107}{1989}{{Benvenuti \emph  {et~al.}}}{{}}}
\bibcite{nmc}{{108}{1997}{{Arneodo \emph  {et~al.}}}{{}}}
\bibcite{PDG14}{{109}{2014}{{{ K.A. Olive {\it  et al.} (Particle Data Group)}}}{{}}}
\bibcite{Kramer:2000hn}{{110}{2000}{{Kramer \emph  {et~al.}}}{{Kramer, Olness, and Soper}}}
\citation{Collaboration:2009bp}
\citation{Collaboration:2009kv}
\citation{Adloff:1999ah}
\citation{Adloff:1999ah}
\citation{Adloff:2000qj}
\citation{Adloff:2000qj}
\citation{Adloff:2003uh}
\citation{Adloff:2003uh}
\citation{Adloff:2003uh}
\citation{Breitweg:1997hz}
\citation{Breitweg:2000yn}
\citation{Breitweg:1998dz}
\citation{Chekanov:2001qu}
\citation{zeuscc97}
\citation{Chekanov:2002ej}
\citation{Chekanov:2002zs}
\citation{Chekanov:2003yv}
\citation{Chekanov:2003vw}
\citation{H1allhQ2}
\citation{H1allhQ2}
\citation{H1allhQ2}
\citation{H1allhQ2}
\citation{H1FL2}
\citation{H1FL2}
\citation{ZEUS2NCp}
\citation{ZEUS2CCp}
\citation{ZEUS2NCe}
\citation{ZEUS2CCe}
\citation{ZEUSFL}
\citation{ZEUSFL}
\citation{H1FL1}
\citation{H1FL2}
\citation{ZEUSFL}
\citation{ZEUSFL}
\citation{H1FL1}
\citation{H1FL2}
\citation{ZEUSFL}
\citation{ZEUSFL}
\citation{H1allhQ2}
\citation{H1lumi2}
\citation{H1allhQ2}
\citation{H1lumi2}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces The 41 data sets from H1 and ZEUS used for the combination. The marker [2] in the column ``Data Set'' indicates that the data are treated as two data sets in the analysis. The markers $^{1.5p}$ and $^{1.5}$ in the column ``Data Set'' indicate that the data were already used for HERAPDF1.5, see Appendix\nobreakspace  {}\ref  {appendix:A}. The $p$ in $^{1.5p}$ denotes that the cross-sections measurements were preliminary at that time. The markers $^{*y.5}$ and $^{*y}$ in the column ``Data Set'' are explained in Section\nobreakspace  {}\ref  {subsec:extrapol}. The marker $^1$ for \cite  {H1allhQ2} indicates that published cross section were scaled by a factor of 1.018\nobreakspace  {}\cite  {H1lumi2}. Integrated luminosities are quoted as given by the collaborations. The equations used for the reconstruction of $x_{\rm  Bj}$ and $Q^2$ are given in Section\nobreakspace  {}\ref  {diskine}. }}{42}{table.1}}
\newlabel{tab:data}{{1}{42}{\label {tab:data}The 41 data sets from H1 and ZEUS used for the combination. The marker [2] in the column ``Data Set'' indicates that the data are treated as two data sets in the analysis. The markers $^{1.5p}$ and $^{1.5}$ in the column ``Data Set'' indicate that the data were already used for HERAPDF1.5, see Appendix~\ref {appendix:A}. The $p$ in $^{1.5p}$ denotes that the cross-sections measurements were preliminary at that time. The markers $^{*y.5}$ and $^{*y}$ in the column ``Data Set'' are explained in Section~\ref {subsec:extrapol}. The marker $^1$ for \cite {H1allhQ2} indicates that published cross section were scaled by a factor of 1.018~\cite {H1lumi2}. Integrated luminosities are quoted as given by the collaborations. The equations used for the reconstruction of $x_{\rm Bj}$ and $Q^2$ are given in Section~\ref {diskine}. \relax }{table.1}{}}
\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces Input parameters for HERAPDF2.0 fits and the variations considered to evaluate model and parameterisation ($\mu _{f_{0}}$) uncertainties. }}{43}{table.2}}
\newlabel{tab:model}{{2}{43}{Input parameters for HERAPDF2.0 fits and the variations considered to evaluate model and parameterisation ($\mu _{f_{0}}$) uncertainties. \relax }{table.2}{}}
\@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces Input parameters for HERAPDF2.0FF fits. All other parameters were set as for the standard HERAPDF2.0 NLO fit.}}{43}{table.3}}
\newlabel{tab:FF}{{3}{43}{Input parameters for HERAPDF2.0FF fits. All other parameters were set as for the standard HERAPDF2.0 NLO fit}{table.3}{}}
\@writefile{lot}{\contentsline {table}{\numberline {4}{\ignorespaces The values of $\chi ^2$ per degree of freedom for HERAPDF2.0 and its variants.}}{43}{table.4}}
\newlabel{tab:chi2}{{4}{43}{The values of $\chi ^2$ per degree of freedom for HERAPDF2.0 and its variants}{table.4}{}}
\@writefile{lot}{\contentsline {table}{\numberline {5}{\ignorespaces Central values of the HERAPDF2.0 parameters at NLO.}}{44}{table.5}}
\newlabel{tab:param}{{5}{44}{Central values of the HERAPDF2.0 parameters at NLO}{table.5}{}}
\@writefile{lot}{\contentsline {table}{\numberline {6}{\ignorespaces Central values of the HERAPDF2.0 parameters at NNLO.}}{44}{table.6}}
\newlabel{tab:nnloparam}{{6}{44}{Central values of the HERAPDF2.0 parameters at NNLO}{table.6}{}}
\@writefile{lot}{\contentsline {table}{\numberline {7}{\ignorespaces Structure function $xF_3^{\gamma Z}$ for different values of $Q^2$ and $x_{\rm  Bj}$; $\delta _{\rm  stat}$, $\delta _{\rm  syst}$ and $\delta _{\rm  tot}$ represent the statistical, systematic and total uncertainties, respectively. }}{45}{table.7}}
\newlabel{tab:xF3inbins:1}{{7}{45}{Structure function $xF_3^{\gamma Z}$ for different values of $Q^2$ and $x_{\rm Bj}$; $\delta _{\rm stat}$, $\delta _{\rm syst}$ and $\delta _{\rm tot}$ represent the statistical, systematic and total uncertainties, respectively. \relax }{table.7}{}}
\@writefile{lot}{\contentsline {table}{\numberline {7}{\ignorespaces Continued.}}{46}{table.7}}
\@writefile{lot}{\contentsline {table}{\numberline {8}{\ignorespaces Structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000$\tmspace  +\thinmuskip {.1667em}GeV$^2$ at the scale 1000\tmspace  +\thinmuskip {.1667em}GeV$^2$; $\delta _{\rm  stat}$, $\delta _{\rm  syst}$ and $\delta _{\rm  tot}$ represent the statistical, systematic and total uncertainties, respectively. }}{47}{table.8}}
\newlabel{tab:xF3ave}{{8}{47}{Structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000$\,GeV$^2$ at the scale 1000\,GeV$^2$; $\delta _{\rm stat}$, $\delta _{\rm syst}$ and $\delta _{\rm tot}$ represent the statistical, systematic and total uncertainties, respectively. \relax }{table.8}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces The points of the two grids used for the combination. Grid\tmspace  +\thinmuskip {.1667em}1 (open circles) was used for data with $\sqrt  {s}_{{\rm  com},1}=318$\tmspace  +\thinmuskip {.1667em}GeV. Grid\tmspace  +\thinmuskip {.1667em}2 (dots) was used for data with $\sqrt  {s}_{{\rm  com},2}=251$\tmspace  +\thinmuskip {.1667em}GeV or $\sqrt  {s}_{{\rm  com},3}=225$\tmspace  +\thinmuskip {.1667em}GeV. The latter grid has a finer binning in $x_{\rm  Bj}$ in accordance with its special structure in $y$.}}{48}{figure.1}}
\newlabel{fig:grid}{{1}{48}{The points of the two grids used for the combination. Grid\,1 (open circles) was used for data with $\sqrt {s}_{{\rm com},1}=318$\,GeV. Grid\,2 (dots) was used for data with $\sqrt {s}_{{\rm com},2}=251$\,GeV or $\sqrt {s}_{{\rm com},3}=225$\,GeV. The latter grid has a finer binning in $x_{\rm Bj}$ in accordance with its special structure in $y$}{figure.1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Distributions of pulls $\rm  p$ for: a) NC $e^+p$ for $Q^2 \le 3.5$\tmspace  +\thinmuskip {.1667em}GeV$^2$; b) NC $e^+p$ for $3.5 < Q^2 \le 100$\tmspace  +\thinmuskip {.1667em}GeV$^2$; c) NC $e^+p$ for $100 < Q^2 \le 50000$\tmspace  +\thinmuskip {.1667em}GeV$^2$; d) NC $e^-p$ for $60 \le Q^2 \le 50000$\tmspace  +\thinmuskip {.1667em}GeV$^2$; e) CC $e^+p$ for $300 \le Q^2 \le 30000$\tmspace  +\thinmuskip {.1667em}GeV$^2$; and f) CC $e^-p$ for $300 \le Q^2 \le 30000$\tmspace  +\thinmuskip {.1667em}GeV$^2$. There are no entries outside the histogram ranges. The root mean square, RMS, of each distribution is given. }}{49}{figure.2}}
\newlabel{fig:pulls}{{2}{49}{Distributions of pulls $\rm p$ for: a) NC $e^+p$ for $Q^2 \le 3.5$\,GeV$^2$; b) NC $e^+p$ for $3.5 < Q^2 \le 100$\,GeV$^2$; c) NC $e^+p$ for $100 < Q^2 \le 50000$\,GeV$^2$; d) NC $e^-p$ for $60 \le Q^2 \le 50000$\,GeV$^2$; e) CC $e^+p$ for $300 \le Q^2 \le 30000$\,GeV$^2$; and f) CC $e^-p$ for $300 \le Q^2 \le 30000$\,GeV$^2$. There are no entries outside the histogram ranges. The root mean square, RMS, of each distribution is given. \relax }{figure.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Distribution of pulls ${\rm  p}_{j}$ for the correlated systematic uncertainties including global normalisations. There are no entries outside the histogram range. The root mean square, RMS, of the distribution is given. }}{50}{figure.3}}
\newlabel{fig:syspulls}{{3}{50}{Distribution of pulls ${\rm p}_{j}$ for the correlated systematic uncertainties including global normalisations. There are no entries outside the histogram range. The root mean square, RMS, of the distribution is given. \label {fig:syspulls}\relax }{figure.3}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ reduced cross sections as a function of $Q^2$ for six selected values of $x_{\rm  Bj}$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. The two labelled entries at $x_{\rm  Bj}=0.008$ and $0.08$ come from data which were taken at $\sqrt  {s}=300$\tmspace  +\thinmuskip {.1667em}GeV and $y<0.35$ and were translated to $\sqrt  {s}=318$\tmspace  +\thinmuskip {.1667em}GeV, see Section\nobreakspace  {}\ref  {subsec:extrapol}. }}{51}{figure.4}}
\newlabel{fig:quality:NCepp}{{4}{51}{The combined HERA data for the inclusive NC $e^+p$ reduced cross sections as a function of $Q^2$ for six selected values of $x_{\rm Bj}$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. The two labelled entries at $x_{\rm Bj}=0.008$ and $0.08$ come from data which were taken at $\sqrt {s}=300$\,GeV and $y<0.35$ and were translated to $\sqrt {s}=318$\,GeV, see Section~\ref {subsec:extrapol}. \relax }{figure.4}{}}
\citation{HERAIcombi}
\citation{HERAIcombi}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ reduced cross sections as a function of $Q^2$ for six selected values of $x_{\rm  Bj}$ compared to the results from HERA\tmspace  +\thinmuskip {.1667em}I alone\nobreakspace  {}\cite  {HERAIcombi}. The two measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. The two labelled entries at $x_{\rm  Bj}=0.008$ and $0.08$ come from data which were taken at $\sqrt  {s}=300$\tmspace  +\thinmuskip {.1667em}GeV and $y<0.35$ and were translated to $\sqrt  {s}=318$\tmspace  +\thinmuskip {.1667em}GeV, see Section\nobreakspace  {}\ref  {subsec:extrapol}. }}{52}{figure.5}}
\newlabel{fig:Hera1:NCepp}{{5}{52}{The combined HERA data for the inclusive NC $e^+p$ reduced cross sections as a function of $Q^2$ for six selected values of $x_{\rm Bj}$ compared to the results from HERA\,I alone~\cite {HERAIcombi}. The two measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. The two labelled entries at $x_{\rm Bj}=0.008$ and $0.08$ come from data which were taken at $\sqrt {s}=300$\,GeV and $y<0.35$ and were translated to $\sqrt {s}=318$\,GeV, see Section~\ref {subsec:extrapol}. \relax }{figure.5}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces The combined HERA data for the inclusive NC $e^-p$ reduced cross sections as a function of $Q^2$ for four selected values of $x_{\rm  Bj}$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. }}{53}{figure.6}}
\newlabel{fig:quality:NCemp}{{6}{53}{The combined HERA data for the inclusive NC $e^-p$ reduced cross sections as a function of $Q^2$ for four selected values of $x_{\rm Bj}$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. \relax }{figure.6}{}}
\citation{HERAIcombi}
\citation{HERAIcombi}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces The combined HERA data for the inclusive NC $e^-p$ reduced cross section as a function of $Q^2$ for four selected values of $x_{\rm  Bj}$ compared to the results from HERA\tmspace  +\thinmuskip {.1667em}I alone\nobreakspace  {}\cite  {HERAIcombi}. The two measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. }}{54}{figure.7}}
\newlabel{fig:Hera1:NCemp}{{7}{54}{The combined HERA data for the inclusive NC $e^-p$ reduced cross section as a function of $Q^2$ for four selected values of $x_{\rm Bj}$ compared to the results from HERA\,I alone~\cite {HERAIcombi}. The two measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. \relax }{figure.7}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 251$\tmspace  +\thinmuskip {.1667em}GeV as a function of $x_{\rm  Bj}$ for five selected values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. The ZEUS points at the same $x_{\rm  Bj}$ and $Q^2$ values are from two different data sets. Error bars represent the total uncertainties. }}{55}{figure.8}}
\newlabel{fig:quality:575}{{8}{55}{The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 251$\,GeV as a function of $x_{\rm Bj}$ for five selected values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. The ZEUS points at the same $x_{\rm Bj}$ and $Q^2$ values are from two different data sets. Error bars represent the total uncertainties. \relax }{figure.8}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 225$\tmspace  +\thinmuskip {.1667em}GeV as a function of $x_{\rm  Bj}$ for five selected values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. The ZEUS points at the same $x_{\rm  Bj}$ and $Q^2$ values are from two different data sets. Error bars represent the total uncertainties. }}{56}{figure.9}}
\newlabel{fig:quality:460}{{9}{56}{The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 225$\,GeV as a function of $x_{\rm Bj}$ for five selected values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. The ZEUS points at the same $x_{\rm Bj}$ and $Q^2$ values are from two different data sets. Error bars represent the total uncertainties. \relax }{figure.9}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV at very low $Q^2$. Error bars represent the total uncertainties. }}{57}{figure.10}}
\newlabel{fig:NCvlQ2-920}{{10}{57}{The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV at very low $Q^2$. Error bars represent the total uncertainties. \relax }{figure.10}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 300$\nobreakspace  {}GeV at very low $Q^2$. Error bars represent the total uncertainties. }}{58}{figure.11}}
\newlabel{fig:NCvlQ2-820}{{11}{58}{The combined HERA data for the inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 300$~GeV at very low $Q^2$. Error bars represent the total uncertainties. \relax }{figure.11}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces The combined HERA data for the inclusive CC $e^+p$ reduced cross sections as a function of $x_{\rm  Bj}$ for the 10 different values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. }}{59}{figure.12}}
\newlabel{fig:quality:CCepp}{{12}{59}{The combined HERA data for the inclusive CC $e^+p$ reduced cross sections as a function of $x_{\rm Bj}$ for the 10 different values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. \relax }{figure.12}{}}
\citation{HERAIcombi}
\citation{HERAIcombi}
\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces The combined HERA data for the inclusive CC $e^+p$ reduced cross sections as a function of $x_{\rm  Bj}$ for the 10 different values of $Q^2$ compared to the results from HERA\tmspace  +\thinmuskip {.1667em}I alone\nobreakspace  {}\cite  {HERAIcombi}. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. }}{60}{figure.13}}
\newlabel{fig:Hera1:CCepp}{{13}{60}{The combined HERA data for the inclusive CC $e^+p$ reduced cross sections as a function of $x_{\rm Bj}$ for the 10 different values of $Q^2$ compared to the results from HERA\,I alone~\cite {HERAIcombi}. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. \relax }{figure.13}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces The combined HERA data for the inclusive CC $e^-p$ reduced cross sections as a function of $x_{\rm  Bj}$ for the 10 different values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. }}{61}{figure.14}}
\newlabel{fig:quality:CCemp}{{14}{61}{The combined HERA data for the inclusive CC $e^-p$ reduced cross sections as a function of $x_{\rm Bj}$ for the 10 different values of $Q^2$ compared to the individual H1 and ZEUS data. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. \relax }{figure.14}{}}
\citation{HERAIcombi}
\citation{HERAIcombi}
\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces The combined HERA data for the inclusive CC $e^-p$ reduced cross sections as a function of $x_{\rm  Bj}$ for the 10 different values of $Q^2$ compared to the results from HERA\tmspace  +\thinmuskip {.1667em}I alone\nobreakspace  {}\cite  {HERAIcombi}. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. }}{62}{figure.15}}
\newlabel{fig:Hera1:CCemp}{{15}{62}{The combined HERA data for the inclusive CC $e^-p$ reduced cross sections as a function of $x_{\rm Bj}$ for the 10 different values of $Q^2$ compared to the results from HERA\,I alone~\cite {HERAIcombi}. The individual measurements are displaced horizontally for better visibility. Error bars represent the total uncertainties. \relax }{figure.15}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces  The $\Delta \chi ^2 = \chi ^2 - \chi ^2_{\rm  min}$ versus the charm mass parameter $M_c$ for NLO and NNLO fits based on the combined data on charm production in addition to the combined inclusive data. }}{63}{figure.16}}
\newlabel{fig:charmscan}{{16}{63}{ The $\Delta \chi ^2 = \chi ^2 - \chi ^2_{\rm min}$ versus the charm mass parameter $M_c$ for NLO and NNLO fits based on the combined data on charm production in addition to the combined inclusive data. \relax }{figure.16}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces  The $\Delta \chi ^2= \chi ^2 - \chi 2_{\rm  min}$ versus the beauty mass parameter $M_b$ for NLO and NNLO fits based on H1 and ZEUS data on beauty production in addition to the combined inclusive data. }}{64}{figure.17}}
\newlabel{fig:beautyscan}{{17}{64}{ The $\Delta \chi ^2= \chi ^2 - \chi 2_{\rm min}$ versus the beauty mass parameter $M_b$ for NLO and NNLO fits based on H1 and ZEUS data on beauty production in addition to the combined inclusive data. \relax }{figure.17}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {18}{\ignorespaces  Comparison of the PDF uncertainties as determined by the Hessian and Monte Carlo (MC) methods at NNLO for the valence distributions $xu_v$ and $xd_v$, the gluon distribution $xg$ and the sea distribution, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$, at the scale $\mu _{\rm  f}^{2}$ = 10\tmspace  +\thinmuskip {.1667em}GeV$^{2}$. }}{65}{figure.18}}
\newlabel{fig:MCcomp:NLO+NNLO}{{18}{65}{ Comparison of the PDF uncertainties as determined by the Hessian and Monte Carlo (MC) methods at NNLO for the valence distributions $xu_v$ and $xd_v$, the gluon distribution $xg$ and the sea distribution, $xS=2x(\bar {U}+\bar {D})$, at the scale $\mu _{\rm f}^{2}$ = 10\,GeV$^{2}$. \relax }{figure.18}{}}
\citation{HERAIcombi}
\citation{HERAIcombi}
\@writefile{lof}{\contentsline {figure}{\numberline {19}{\ignorespaces  The dependence of $\chi ^2/{\rm  d.o.f.}$ on $Q^2_{\rm  min}$ of the LO, NLO and NNLO fits to the HERA combined inclusive data. Also shown are values for an NLO fit to the combined HERA\tmspace  +\thinmuskip {.1667em}I data\nobreakspace  {}\cite  {HERAIcombi}. All fits were performed using the RTOPT heavy-flavour scheme. }}{66}{figure.19}}
\newlabel{fig:chiscan}{{19}{66}{ The dependence of $\chi ^2/{\rm d.o.f.}$ on $Q^2_{\rm min}$ of the LO, NLO and NNLO fits to the HERA combined inclusive data. Also shown are values for an NLO fit to the combined HERA\,I data~\cite {HERAIcombi}. All fits were performed using the RTOPT heavy-flavour scheme. \relax }{figure.19}{}}
\citation{Thorne:RTopt}
\citation{Cacciari:1998it}
\citation{Kramer:2000hn}
\citation{Forte:2010ta}
\citation{Thorne:RTopt}
\citation{Cacciari:1998it}
\citation{Kramer:2000hn}
\citation{Forte:2010ta}
\@writefile{lof}{\contentsline {figure}{\numberline {20}{\ignorespaces  The dependence of $\chi ^2/{\rm  d.o.f.}$ on $Q^2_{\rm  min}$ for HERAPDF2.0 fits using a) the RTOPT\nobreakspace  {}\cite  {Thorne:RTopt}, FONNL-B\nobreakspace  {}\cite  {Cacciari:1998it}, ACOT\nobreakspace  {}\cite  {Kramer:2000hn} and fixed-flavour (FF) schemes at NLO and b) the RTOPT and FONNL-B/C\nobreakspace  {}\cite  {Forte:2010ta} schemes at NLO and NNLO. The $F_{\rm  L}$ contributions are calculated using matrix elements of the order of $\alpha _s$ indicated in the legend. The number of degrees of freedom drops from 1148 for $Q^2_{\rm  min}=2.7$\tmspace  +\thinmuskip {.1667em}GeV$^2$ to 1131 for the nominal $Q^2_{\rm  min}=3.5$\tmspace  +\thinmuskip {.1667em}GeV$^2$ and to 868 for $Q^2_{\rm  min}=25$\tmspace  +\thinmuskip {.1667em}GeV$^2$. }}{67}{figure.20}}
\newlabel{fig:altscan}{{20}{67}{ The dependence of $\chi ^2/{\rm d.o.f.}$ on $Q^2_{\rm min}$ for HERAPDF2.0 fits using a) the RTOPT~\cite {Thorne:RTopt}, FONNL-B~\cite {Cacciari:1998it}, ACOT~\cite {Kramer:2000hn} and fixed-flavour (FF) schemes at NLO and b) the RTOPT and FONNL-B/C~\cite {Forte:2010ta} schemes at NLO and NNLO. The $F_{\rm L}$ contributions are calculated using matrix elements of the order of $\alpha _s$ indicated in the legend. The number of degrees of freedom drops from 1148 for $Q^2_{\rm min}=2.7$\,GeV$^2$ to 1131 for the nominal $Q^2_{\rm min}=3.5$\,GeV$^2$ and to 868 for $Q^2_{\rm min}=25$\,GeV$^2$. \relax }{figure.20}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {21}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$. The gluon and sea distributions are scaled down by a factor of $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NLO with the alternative gluon parameterisation, see Section\nobreakspace  {}\ref  {sec:altparam}. }}{68}{figure.21}}
\newlabel{fig:summarynlo}{{21}{68}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$. The gluon and sea distributions are scaled down by a factor of $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NLO with the alternative gluon parameterisation, see Section~\ref {sec:altparam}. \relax }{figure.21}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {22}{\ignorespaces The flavour breakdown of the sea distribution of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2}$ = 10\tmspace  +\thinmuskip {.1667em}GeV$^{2}$. Shown are the distributions $x\mathaccentV {bar}016{u}$, $x\mathaccentV {bar}016{d}$, $x\mathaccentV {bar}016{c}$ and $x\mathaccentV {bar}016{s}$ together with their experimental, model and parameterisation uncertainties. The fractional uncertainties are also shown. }}{69}{figure.22}}
\newlabel{fig:flavour1}{{22}{69}{The flavour breakdown of the sea distribution of HERAPDF2.0 NLO at $\mu _{\rm f}^{2}$ = 10\,GeV$^{2}$. Shown are the distributions $x\bar {u}$, $x\bar {d}$, $x\bar {c}$ and $x\bar {s}$ together with their experimental, model and parameterisation uncertainties. The fractional uncertainties are also shown. \relax }{figure.22}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {23}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$. The gluon and sea distributions are scaled down by a factor $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NNLO with the alternative gluon parameterisation, see Section\nobreakspace  {}\ref  {sec:altparam}. }}{70}{figure.23}}
\newlabel{fig:summarynnlo}{{23}{70}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$. The gluon and sea distributions are scaled down by a factor $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NNLO with the alternative gluon parameterisation, see Section~\ref {sec:altparam}. \relax }{figure.23}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {24}{\ignorespaces The flavour breakdown of the sea distribution of HERAPDF2.0 NNLO at $\mu _{\rm  f}^{2}$ = 10\tmspace  +\thinmuskip {.1667em}GeV$^{2}$. Shown are the distributions $x\mathaccentV {bar}016{u}$, $x\mathaccentV {bar}016{d}$, $x\mathaccentV {bar}016{c}$ and $x\mathaccentV {bar}016{s}$ together with their experimental, model and parameterisation uncertainties. The fractional uncertainties are also shown. }}{71}{figure.24}}
\newlabel{fig:flavour2}{{24}{71}{The flavour breakdown of the sea distribution of HERAPDF2.0 NNLO at $\mu _{\rm f}^{2}$ = 10\,GeV$^{2}$. Shown are the distributions $x\bar {u}$, $x\bar {d}$, $x\bar {c}$ and $x\bar {s}$ together with their experimental, model and parameterisation uncertainties. The fractional uncertainties are also shown. \relax }{figure.24}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {25}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0 NNLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{72}{figure.25}}
\newlabel{fig:nlovsnnlo}{{25}{72}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of HERAPDF2.0 NNLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.25}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {26}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0AG LO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0AG NLO. The bands represent the experimental uncertainties only. }}{73}{figure.26}}
\newlabel{fig:lovsnlo}{{26}{73}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0AG LO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of HERAPDF2.0AG NLO. The bands represent the experimental uncertainties only. \relax }{figure.26}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {27}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. }}{74}{figure.27}}
\newlabel{fig:nnloQ23pt5ncepc}{{27}{74}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. \relax }{figure.27}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {28}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of the HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{75}{figure.28}}
\newlabel{fig:nloQ23pt5ncepc}{{28}{75}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions of the HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.28}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {29}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of the HERAPDF2.0AG LO. The bands represent the experimental uncertainties on the predictions. }}{76}{figure.29}}
\newlabel{fig:loQ23pt5ncepc}{{29}{76}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions of the HERAPDF2.0AG LO. The bands represent the experimental uncertainties on the predictions. \relax }{figure.29}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {30}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections as partially shown already in Fig.\nobreakspace  {}\ref  {fig:Hera1:NCepp} with overlaid predictions of HERAPDF2.0 NLO and NNLO. The two differently shaded bands represent the total uncertainties on the two predictions. }}{77}{figure.30}}
\newlabel{fig:5mod}{{30}{77}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections as partially shown already in Fig.~\ref {fig:Hera1:NCepp} with overlaid predictions of HERAPDF2.0 NLO and NNLO. The two differently shaded bands represent the total uncertainties on the two predictions. \relax }{figure.30}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {31}{\ignorespaces The combined HERA inclusive NC $e^-p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. }}{78}{figure.31}}
\newlabel{fig:nnloQ23pt5ncem}{{31}{78}{The combined HERA inclusive NC $e^-p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. \relax }{figure.31}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {32}{\ignorespaces The combined HERA inclusive NC $e^-p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{79}{figure.32}}
\newlabel{fig:nloQ23pt5ncem}{{32}{79}{The combined HERA inclusive NC $e^-p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.32}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {33}{\ignorespaces The combined HERA inclusive NC $e^-p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0AG LO. The bands represent the experimental uncertainties on the predictions. }}{80}{figure.33}}
\newlabel{fig:loQ23pt5ncem}{{33}{80}{The combined HERA inclusive NC $e^-p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0AG LO. The bands represent the experimental uncertainties on the predictions. \relax }{figure.33}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {34}{\ignorespaces The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{81}{figure.34}}
\newlabel{fig:nnloQ23pt5ncepb}{{34}{81}{The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.34}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {35}{\ignorespaces The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} =318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{82}{figure.35}}
\newlabel{fig:nloQ23pt5ncepb}{{35}{82}{The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} =318$\,GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.35}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {36}{\ignorespaces The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0AG LO. The bands represent the experimental uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{83}{figure.36}}
\newlabel{fig:loQ23pt5ncepb}{{36}{83}{The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0AG LO. The bands represent the experimental uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.36}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {37}{\ignorespaces The combined HERA inclusive CC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. }}{84}{figure.37}}
\newlabel{fig:nnloQ23pt5ccep}{{37}{84}{The combined HERA inclusive CC $e^+p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. \relax }{figure.37}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {38}{\ignorespaces The combined HERA inclusive CC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$ GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{85}{figure.38}}
\newlabel{fig:nloQ23pt5ccep}{{38}{85}{The combined HERA inclusive CC $e^+p$ reduced cross sections at $\sqrt {s} = 318$ GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.38}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {39}{\ignorespaces The combined HERA inclusive CC $e^-p$ reduced cross sections at $\sqrt  {s} = 318$ GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. }}{86}{figure.39}}
\newlabel{fig:nnloQ23pt5ccem}{{39}{86}{The combined HERA inclusive CC $e^-p$ reduced cross sections at $\sqrt {s} = 318$ GeV with overlaid predictions from HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. \relax }{figure.39}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {40}{\ignorespaces The combined HERA inclusive CC $e^-p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of the HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{87}{figure.40}}
\newlabel{fig:nloQ23pt5ccem}{{40}{87}{The combined HERA inclusive CC $e^-p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions of the HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.40}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {41}{\ignorespaces The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 300$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{88}{figure.41}}
\newlabel{fig:nloQ23pt5ncepb820}{{41}{88}{The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 300$\,GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.41}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {42}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 300$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{89}{figure.42}}
\newlabel{fig:nloQ23pt5ncepc820}{{42}{89}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 300$\,GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.42}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {43}{\ignorespaces The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 251$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{90}{figure.43}}
\newlabel{fig:nloQ23pt5ncepb575}{{43}{90}{The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 251$\,GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.43}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {44}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 251$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{91}{figure.44}}
\newlabel{fig:nloQ23pt5ncepc575}{{44}{91}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 251$\,GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.44}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {45}{\ignorespaces The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 225$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{92}{figure.45}}
\newlabel{fig:nloQ23pt5ncepb460}{{45}{92}{The combined low-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 225$\,GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.45}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {46}{\ignorespaces The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 225$ GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{93}{figure.46}}
\newlabel{fig:nloQ23pt5ncepc460}{{46}{93}{The combined high-$Q^2$ HERA inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 225$ GeV with overlaid predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.46}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {47}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2}=10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF1.0 on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{94}{figure.47}}
\newlabel{fig:vsherapdf10}{{47}{94}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2}=10\,$GeV$^{2}$ compared to those of HERAPDF1.0 on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.47}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {48}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF1.5 on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{95}{figure.48}}
\newlabel{fig:vsherapdf15}{{48}{95}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of HERAPDF1.5 on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.48}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {49}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to the ones of HERAPDF1.5 on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{96}{figure.49}}
\newlabel{fig:vsherapdf15nnlo}{{49}{96}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to the ones of HERAPDF1.5 on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.49}{}}
\citation{MMHT2014}
\citation{CT10NLO}
\citation{NNPDF3.0}
\citation{MMHT2014}
\citation{CT10NLO}
\citation{NNPDF3.0}
\@writefile{lof}{\contentsline {figure}{\numberline {50}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of MMHT2014\nobreakspace  {}\cite  {MMHT2014}, CT10\nobreakspace  {}\cite  {CT10NLO} and NNPDF3.0\nobreakspace  {}\cite  {NNPDF3.0}. The top panel shows the distribution with uncertainties only for HERAPDF2.0. The bottom panel shows the PDFs normalised to HERAPDF2.0 and with uncertainties for all PDFs. }}{97}{figure.50}}
\newlabel{fig:20NLO-others}{{50}{97}{ The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\bar {U}+\bar {D})$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of MMHT2014~\cite {MMHT2014}, CT10~\cite {CT10NLO} and NNPDF3.0~\cite {NNPDF3.0}. The top panel shows the distribution with uncertainties only for HERAPDF2.0. The bottom panel shows the PDFs normalised to HERAPDF2.0 and with uncertainties for all PDFs. \relax }{figure.50}{}}
\citation{MMHT2014}
\citation{CT10NNLO}
\citation{NNPDF3.0}
\citation{MMHT2014}
\citation{CT10NNLO}
\citation{NNPDF3.0}
\@writefile{lof}{\contentsline {figure}{\numberline {51}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ of HERAPDF2.0 NNLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of MMHT2014\nobreakspace  {}\cite  {MMHT2014}, CT10\nobreakspace  {}\cite  {CT10NNLO} and NNPDF3.0\nobreakspace  {}\cite  {NNPDF3.0}. The top panel shows the distribution with uncertainties only for HERAPDF2.0. The bottom panel shows the PDFs normalised to HERAPDF2.0 and with uncertainties for all PDFs. }}{98}{figure.51}}
\newlabel{fig:20NNLO-others}{{51}{98}{ The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\bar {U}+\bar {D})$ of HERAPDF2.0 NNLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of MMHT2014~\cite {MMHT2014}, CT10~\cite {CT10NNLO} and NNPDF3.0~\cite {NNPDF3.0}. The top panel shows the distribution with uncertainties only for HERAPDF2.0. The bottom panel shows the PDFs normalised to HERAPDF2.0 and with uncertainties for all PDFs. \relax }{figure.51}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {52}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ with $Q^{2}_{\rm  min} = 3.5$\tmspace  +\thinmuskip {.1667em}GeV$^{2}$ (top) and of HERAPDF2.0HiQ2 NLO with $Q^2_{\rm  min} = 10$\tmspace  +\thinmuskip {.1667em}GeV$^2$ (bottom). The gluon and sea distributions are scaled down by a factor of $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NLO and HERAPDF2.0AG HiQ2 NLO. }}{99}{figure.52}}
\newlabel{fig:hiQ2nlo}{{52}{99}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ with $Q^{2}_{\rm min} = 3.5$\,GeV$^{2}$ (top) and of HERAPDF2.0HiQ2 NLO with $Q^2_{\rm min} = 10$\,GeV$^2$ (bottom). The gluon and sea distributions are scaled down by a factor of $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NLO and HERAPDF2.0AG HiQ2 NLO. \relax }{figure.52}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {53}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ with $Q^{2}_{\rm  min} = 3.5$\tmspace  +\thinmuskip {.1667em}GeV$^{2}$ (top) and of HERAPDF2.0HiQ2 NNLO with $Q^2_{\rm  min} = 10$\tmspace  +\thinmuskip {.1667em}GeV$^2$ (bottom). The gluon and sea distributions are scaled down by a factor $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NNLO and HERAPDF2.0AG HiQ2 NNLO. }}{100}{figure.53}}
\newlabel{fig:hiQ2nnlo}{{53}{100}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ with $Q^{2}_{\rm min} = 3.5$\,GeV$^{2}$ (top) and of HERAPDF2.0HiQ2 NNLO with $Q^2_{\rm min} = 10$\,GeV$^2$ (bottom). The gluon and sea distributions are scaled down by a factor $20$. The experimental, model and parameterisation uncertainties are shown. The dotted lines represent HERAPDF2.0AG NNLO and HERAPDF2.0AG HiQ2 NNLO. \relax }{figure.53}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {54}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{101}{figure.54}}
\newlabel{fig:nlo10vs3pt5}{{54}{101}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.54}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {55}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10000\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{102}{figure.55}}
\newlabel{fig:highscale}{{55}{102}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10000\,$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.55}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {56}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{103}{figure.56}}
\newlabel{fig:nnlo10vs3pt5}{{56}{103}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.56}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {57}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm  f}^{2} = 10000\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NNLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. }}{104}{figure.57}}
\newlabel{fig:highscalennlo}{{57}{104}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0 NNLO at $\mu _{\rm f}^{2} = 10000\,$GeV$^{2}$ compared to those of HERAPDF2.0HiQ2 NNLO on logarithmic (top) and linear (bottom) scales. The bands represent the total uncertainties. \relax }{figure.57}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {58}{\ignorespaces The combined low-$Q^2$ HERA data on inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$ GeV with overlaid predictions from HERAPDF2.0HiQ2 NNLO The bands represent the total uncertainty on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{105}{figure.58}}
\newlabel{fig:nnloQ210ncepb}{{58}{105}{The combined low-$Q^2$ HERA data on inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$ GeV with overlaid predictions from HERAPDF2.0HiQ2 NNLO The bands represent the total uncertainty on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.58}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {59}{\ignorespaces The combined low-$Q^2$ HERA data on inclusive NC $e^+p$ reduced cross sections at $\sqrt  {s} = 318$ GeV with overlaid predictions from HERAPDF2.0HiQ2 NLO. The bands represent the total uncertainty on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{106}{figure.59}}
\newlabel{fig:nloQ210ncepb}{{59}{106}{The combined low-$Q^2$ HERA data on inclusive NC $e^+p$ reduced cross sections at $\sqrt {s} = 318$ GeV with overlaid predictions from HERAPDF2.0HiQ2 NLO. The bands represent the total uncertainty on the predictions. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.59}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {60}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of of HERAPDF2.0FF3A NLO and HERAPDF2.0FF3B NLO, at $\mu _{\rm  f}^{2}$ = 10\tmspace  +\thinmuskip {.1667em}GeV$^{2}$. The experimental, model and parameterisation uncertainties are shown.}}{107}{figure.60}}
\newlabel{fig:PDFFF}{{60}{107}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of of HERAPDF2.0FF3A NLO and HERAPDF2.0FF3B NLO, at $\mu _{\rm f}^{2}$ = 10\,GeV$^{2}$. The experimental, model and parameterisation uncertainties are shown}{figure.60}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {61}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ of HERAPDF2.0FF3A and FF3B at the starting scale $\mu _{\rm  f_{0}}^{2} = 1.9\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0 NLO. The top panel shows the distributions. The bottom panel shows the PDFs normalised to HERAPDF2.0 NLO. The uncertainties are given as differently hatched bands in both panels. }}{108}{figure.61}}
\newlabel{fig:FFNLO-NLO}{{61}{108}{ The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\bar {U}+\bar {D})$ of HERAPDF2.0FF3A and FF3B at the starting scale $\mu _{\rm f_{0}}^{2} = 1.9\,$GeV$^{2}$ compared to those of HERAPDF2.0 NLO. The top panel shows the distributions. The bottom panel shows the PDFs normalised to HERAPDF2.0 NLO. The uncertainties are given as differently hatched bands in both panels. \relax }{figure.61}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {62}{\ignorespaces  Selected combined HERA inclusive NC $e^+p$ reduced cross sections compared to predictions of HERAPDF2.0 NLO and HERAPDF2.0FF3B. The two differently shaded bands represent the total uncertainties on the two predictions. }}{109}{figure.62}}
\newlabel{fig:FFdata}{{62}{109}{ Selected combined HERA inclusive NC $e^+p$ reduced cross sections compared to predictions of HERAPDF2.0 NLO and HERAPDF2.0FF3B. The two differently shaded bands represent the total uncertainties on the two predictions. \relax }{figure.62}{}}
\citation{ABM3}
\citation{ABM3}
\@writefile{lof}{\contentsline {figure}{\numberline {63}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ of HERAPDF2.0FF3A at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of ABM11\tmspace  +\thinmuskip {.1667em}FF\nobreakspace  {}\cite  {ABM3}. The top panel shows the distributions. The bottom panel shows the PDFs normalised to HERAPDF2.0FF3A. The uncertainties are given as differently hatched bands in both panels. }}{110}{figure.63}}
\newlabel{fig:FFANLO-others}{{63}{110}{ The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\bar {U}+\bar {D})$ of HERAPDF2.0FF3A at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of ABM11\,FF~\cite {ABM3}. The top panel shows the distributions. The bottom panel shows the PDFs normalised to HERAPDF2.0FF3A. The uncertainties are given as differently hatched bands in both panels. \relax }{figure.63}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {64}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ of HERAPDF2.0FF3B at the starting scale $\mu _{\rm  f_{0}}^{2} = 1.9\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of NNPDF3.0FF\tmspace  +\thinmuskip {.1667em}(3N). The top panel shows the distributions. The bottom panel shows the PDFs normalised to HERAPDF2.0FF3B. The uncertainties are given as differently hatched bands in both panels. }}{111}{figure.64}}
\newlabel{fig:FFBNLO-others}{{64}{111}{ The parton distribution functions $xu_v$, $xd_v$, $xg$ and $xS=2x(\bar {U}+\bar {D})$ of HERAPDF2.0FF3B at the starting scale $\mu _{\rm f_{0}}^{2} = 1.9\,$GeV$^{2}$ compared to those of NNPDF3.0FF\,(3N). The top panel shows the distributions. The bottom panel shows the PDFs normalised to HERAPDF2.0FF3B. The uncertainties are given as differently hatched bands in both panels. \relax }{figure.64}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {65}{\ignorespaces $\Delta \chi ^2 = \chi ^2 - \chi ^2_{\rm  min}$ vs.\ $\alpha _s(M_Z^2)$ for pQCD fits with different $Q^2_{\rm  min}$ using data on (a) inclusive, charm and jet production at NLO, (b) inclusive $ep$ scattering only at NLO and (c) inclusive $ep$ scattering only at NNLO. }}{112}{figure.65}}
\newlabel{fig:alphasscan}{{65}{112}{$\Delta \chi ^2 = \chi ^2 - \chi ^2_{\rm min}$ vs.\ $\asmz $ for pQCD fits with different $Q^2_{\rm min}$ using data on (a) inclusive, charm and jet production at NLO, (b) inclusive $ep$ scattering only at NLO and (c) inclusive $ep$ scattering only at NNLO. \relax }{figure.65}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {66}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0Jets NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ with fixed $\alpha _s(M_Z^2)=0.118$ (top) and free $\alpha _s(M_Z^2)$ (bottom). The experimental, model and parameterisation uncertainties are shown. The hadronisation uncertainty is also included, but it is only visible for the fit with free $\alpha _s(M_Z^2)$. }}{113}{figure.66}}
\newlabel{fig:jetsasmzfixfree}{{66}{113}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0Jets NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ with fixed $\asmz =0.118$ (top) and free $\asmz $ (bottom). The experimental, model and parameterisation uncertainties are shown. The hadronisation uncertainty is also included, but it is only visible for the fit with free $\asmz $. \relax }{figure.66}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {67}{\ignorespaces  The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\mathaccentV {bar}016{U}+\mathaccentV {bar}016{D})$ and $xg$ of HERAPDF2.0Jets NLO at $\mu _{\rm  f}^{2} = 10\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ compared to those of HERAPDF2.0 NLO on logarithmic (top) and linear (bottom) scales. The fits were done with fixed $\alpha _s(M_Z^2)=0.118$. The bands represent the total uncertainties. }}{114}{figure.67}}
\newlabel{fig:alfixjets}{{67}{114}{ The parton distribution functions $xu_v$, $xd_v$, $xS=2x(\bar {U}+\bar {D})$ and $xg$ of HERAPDF2.0Jets NLO at $\mu _{\rm f}^{2} = 10\,$GeV$^{2}$ compared to those of HERAPDF2.0 NLO on logarithmic (top) and linear (bottom) scales. The fits were done with fixed $\asmz =0.118$. The bands represent the total uncertainties. \relax }{figure.67}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {68}{\ignorespaces The HERA reduced cross sections for charm production with overlaid predictions of the HERAPDF2.0Jets NLO fit. The bands represent the total uncertainty on the predictions excluding scale uncertainties. Dotted lines indicate extrapolation into kinematic regions not included in the fit. }}{115}{figure.68}}
\newlabel{fig:charm-data}{{68}{115}{The HERA reduced cross sections for charm production with overlaid predictions of the HERAPDF2.0Jets NLO fit. The bands represent the total uncertainty on the predictions excluding scale uncertainties. Dotted lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.68}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {69}{\ignorespaces  a) Differential jet cross sections, ${\rm  d}\sigma /{\rm  d}p_T$, normalised to NC inclusive cross sections, in bins of $Q^2$ between 150 and 15000\tmspace  +\thinmuskip {.1667em}GeV$^2$ as measured by H1. b) Differential jet cross sections, ${\rm  d}\sigma /{\rm  d}p_T$, in bins of $Q^2$ between 5 and 100\tmspace  +\thinmuskip {.1667em}GeV$^2$ as measured by H1. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. }}{116}{figure.69}}
\newlabel{fig:h1old-jet-data}{{69}{116}{ a) Differential jet cross sections, ${\rm d}\sigma /{\rm d}p_T$, normalised to NC inclusive cross sections, in bins of $Q^2$ between 150 and 15000\,GeV$^2$ as measured by H1. b) Differential jet cross sections, ${\rm d}\sigma /{\rm d}p_T$, in bins of $Q^2$ between 5 and 100\,GeV$^2$ as measured by H1. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. \relax }{figure.69}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {70}{\ignorespaces  a) Differential jet cross sections, ${\rm  d}\sigma /{\rm  d}p_T$, in bins of $Q^2$ between 125 and 10000\tmspace  +\thinmuskip {.1667em}GeV$^2$ as measured by ZEUS. b) Differential dijet cross sections, $d\sigma /{\rm  d} \delimiter "426830A p_T \delimiter "526930B _2$, in bins of $Q^2$ between 125 and 20000\tmspace  +\thinmuskip {.1667em}GeV$^2$ as measured by ZEUS. The variable $\delimiter "426830A p_T \delimiter "526930B _2$ denotes the average $p_T$ of the two jets. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainty on the predictions excluding scale uncertainties. }}{117}{figure.70}}
\newlabel{fig:zeus-jet-data}{{70}{117}{ a) Differential jet cross sections, ${\rm d}\sigma /{\rm d}p_T$, in bins of $Q^2$ between 125 and 10000\,GeV$^2$ as measured by ZEUS. b) Differential dijet cross sections, $d\sigma /{\rm d} \langle p_T \rangle _2$, in bins of $Q^2$ between 125 and 20000\,GeV$^2$ as measured by ZEUS. The variable $\langle p_T \rangle _2$ denotes the average $p_T$ of the two jets. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainty on the predictions excluding scale uncertainties. \relax }{figure.70}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {71}{\ignorespaces  Differential jet cross sections, ${\rm  d}\sigma /{\rm  d}p_T$. All cross sections are normalised to NC inclusive cross sections. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. }}{118}{figure.71}}
\newlabel{fig:jet-data}{{71}{118}{ Differential jet cross sections, ${\rm d}\sigma /{\rm d}p_T$. All cross sections are normalised to NC inclusive cross sections. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. \relax }{figure.71}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {72}{\ignorespaces  Differential dijet cross sections, ${\rm  d}\sigma /{\rm  d}\delimiter "426830A p_T \delimiter "526930B _2$, in bins of $Q^2$ between 150 and 15000\tmspace  +\thinmuskip {.1667em}GeV$^2$ as measured by H1. The variable $\delimiter "426830A p_T \delimiter "526930B _2$ denotes the average $p_T$ of the two jets.All cross sections are normalised to NC inclusive cross sections. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. }}{119}{figure.72}}
\newlabel{fig:jet-data2}{{72}{119}{ Differential dijet cross sections, ${\rm d}\sigma /{\rm d}\langle p_T \rangle _2$, in bins of $Q^2$ between 150 and 15000\,GeV$^2$ as measured by H1. The variable $\langle p_T \rangle _2$ denotes the average $p_T$ of the two jets.All cross sections are normalised to NC inclusive cross sections. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. \relax }{figure.72}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {73}{\ignorespaces  Differential trijet cross sections, ${\rm  d}\sigma /{\rm  d} \delimiter "426830A p_T \delimiter "526930B _3$, in bins of $Q^2$ between 150 and 15000\tmspace  +\thinmuskip {.1667em}GeV$^2$ as measured by H1. The variable $\delimiter "426830A p_T \delimiter "526930B _3$ denotes the average $p_T$ of the three jets. All cross sections are normalised to NC inclusive cross sections. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. }}{120}{figure.73}}
\newlabel{fig:jet-data3}{{73}{120}{ Differential trijet cross sections, ${\rm d}\sigma /{\rm d} \langle p_T \rangle _3$, in bins of $Q^2$ between 150 and 15000\,GeV$^2$ as measured by H1. The variable $\langle p_T \rangle _3$ denotes the average $p_T$ of the three jets. All cross sections are normalised to NC inclusive cross sections. Also shown are predictions from HERAPDF2.0Jets. The bands represent the total uncertainties on the predictions excluding scale uncertainties. \relax }{figure.73}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {74}{\ignorespaces The combined HERA NC and CC $e^-p$ and $e^+p$ cross sections, ${\rm  d}\sigma /{\rm  d}Q^2$, together with predictions from HERAPDF2.0 NLO. The bands represent the total uncertainty on the predictions. }}{121}{figure.74}}
\newlabel{fig:EWuni}{{74}{121}{The combined HERA NC and CC $e^-p$ and $e^+p$ cross sections, ${\rm d}\sigma /{\rm d}Q^2$, together with predictions from HERAPDF2.0 NLO. The bands represent the total uncertainty on the predictions. \relax }{figure.74}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {75}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections as a function of $Q^2$ for selected values of $x_{\rm  Bj}$ at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties of the predictions. }}{122}{figure.75}}
\newlabel{fig:nloQ23pt5ncemep}{{75}{122}{The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections as a function of $Q^2$ for selected values of $x_{\rm Bj}$ at $\sqrt {s} = 318$\,GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties of the predictions. \relax }{figure.75}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {76}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections as a function of $Q^2$ for selected values of $x_{\rm  Bj}$ at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of HERAPDF2.0 NNLO. The bands represent the total uncertainties of the predictions. }}{123}{figure.76}}
\newlabel{fig:nnloQ23pt5ncemep}{{76}{123}{The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections as a function of $Q^2$ for selected values of $x_{\rm Bj}$ at $\sqrt {s} = 318$\,GeV with overlaid predictions of HERAPDF2.0 NNLO. The bands represent the total uncertainties of the predictions. \relax }{figure.76}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {77}{\ignorespaces The structure function $xF_3^{\gamma Z}$ for ten values of $Q^2$ together with predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{124}{figure.77}}
\newlabel{fig:xF3:2d}{{77}{124}{The structure function $xF_3^{\gamma Z}$ for ten values of $Q^2$ together with predictions from HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.77}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {78}{\ignorespaces The structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000\tmspace  +\thinmuskip {.1667em}$GeV$^2$ at the scale $Q^2=1000\tmspace  +\thinmuskip {.1667em}$GeV$^{2}$ together with the prediction from HERAPDF2.0 NLO. The band represents the total uncertainty on the prediction. }}{125}{figure.78}}
\newlabel{fig:xF3:1d}{{78}{125}{The structure function $xF_3^{\gamma Z}$ averaged over $Q^2 \ge 1000\,$GeV$^2$ at the scale $Q^2=1000\,$GeV$^{2}$ together with the prediction from HERAPDF2.0 NLO. The band represents the total uncertainty on the prediction. \relax }{figure.78}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {79}{\ignorespaces The combined HERA data for inclusive CC $e^+p$ and $e^-p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. }}{126}{figure.79}}
\newlabel{fig:scaling-CC-NLO}{{79}{126}{The combined HERA data for inclusive CC $e^+p$ and $e^-p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. \relax }{figure.79}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {80}{\ignorespaces The combined HERA data for inclusive CC $e^+p$ and $e^-p$ reduced cross sections at $\sqrt  {s} = 318$\tmspace  +\thinmuskip {.1667em}GeV with overlaid predictions of HERAPDF2.0 NNLO. The bands represent the total uncertainty on the predictions. }}{127}{figure.80}}
\newlabel{fig:scaling-CC-NNLO}{{80}{127}{The combined HERA data for inclusive CC $e^+p$ and $e^-p$ reduced cross sections at $\sqrt {s} = 318$\,GeV with overlaid predictions of HERAPDF2.0 NNLO. The bands represent the total uncertainty on the predictions. \relax }{figure.80}{}}
\citation{bcdms}
\citation{nmc}
\citation{bcdms}
\citation{nmc}
\@writefile{lof}{\contentsline {figure}{\numberline {81}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections together with fixed-target data\nobreakspace  {}\cite  {bcdms,nmc} and the predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dashed lines indicate extrapolation into kinematic regions not included in the fit. }}{128}{figure.81}}
\newlabel{fig:nloQ23pt5scal}{{81}{128}{The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections together with fixed-target data~\cite {bcdms,nmc} and the predictions of HERAPDF2.0 NLO. The bands represent the total uncertainties on the predictions. Dashed lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.81}{}}
\citation{bcdms}
\citation{nmc}
\citation{bcdms}
\citation{nmc}
\@writefile{lof}{\contentsline {figure}{\numberline {82}{\ignorespaces The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections together with fixed-target data\nobreakspace  {}\cite  {bcdms,nmc} and the predictions of HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. Dashed lines indicate extrapolation into kinematic regions not included in the fit. }}{129}{figure.82}}
\newlabel{fig:nnloQ23pt5scal}{{82}{129}{The combined HERA data for the inclusive NC $e^+p$ and $e^-p$ reduced cross sections together with fixed-target data~\cite {bcdms,nmc} and the predictions of HERAPDF2.0 NNLO. The bands represent the total uncertainties on the predictions. Dashed lines indicate extrapolation into kinematic regions not included in the fit. \relax }{figure.82}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {83}{\ignorespaces The structure function $\mathaccentV {tilde}07E{F_2}$ as extracted from the measured reduced cross sections for four values of $Q^2$ together with the predictions of HERAPDF2.0 NLO. The bands represent the total uncertainty on the predictions. }}{130}{figure.83}}
\newlabel{fig:f2}{{83}{130}{The structure function $\tilde {F_2}$ as extracted from the measured reduced cross sections for four values of $Q^2$ together with the predictions of HERAPDF2.0 NLO. The bands represent the total uncertainty on the predictions. \relax }{figure.83}{}}
\citation{HERAPDF15}
\newlabel{appendix:A}{{A}{131}{Appendix \Alph {section} -- HERAPDF1.5\relax }{section*.2}{}}
\@writefile{lot}{\contentsline {table}{\numberline {9}{\ignorespaces Settings for HERAPDF2.0 and HERAPDF1.5. \newline  $^{*}$: Setting was chosen exactly as for HERAPDF1.0. \newline  $^{**}$: Parameter number 14 was $D_{u_{v}}$ and not $D_{\mathaccentV {bar}016U}$. \newline  $^{a}$: $M_c=1.49$\tmspace  +\thinmuskip {.1667em}GeV to assure $\mu ^2_{\rm  f_{0}}<M_c^2$ \newline  $^{b}$: $M_c=1.53$\tmspace  +\thinmuskip {.1667em}GeV to assure $\mu ^2_{\rm  f_{0}}<M_c^2$ \newline  $^{c}$: $M_c=1.6$\tmspace  +\thinmuskip {.1667em}GeV to assure $\mu ^2_{\rm  f_{0}}<M_c^2$ \newline  $^{d}$: For $\mu ^2_{\rm  f_{0}}=1.5$\tmspace  +\thinmuskip {.1667em}GeV$^2$, also $A'_{g}$ and $B_g'$ were introduced (as for HERAPDF1.0 NLO). \newline  $^{e}$: $\mu ^2_{\rm  f_{0}}=1.6$\tmspace  +\thinmuskip {.1667em}GeV$^2$ to assure $\mu ^2_{\rm  f_{0}} < M_c^2$ \newline  $^{f}$: $\mu ^2_{\rm  f_{0}}=1.8$\tmspace  +\thinmuskip {.1667em}GeV$^2$ to assure $\mu ^2_{\rm  f_{0}} < M_c^2$ \newline  }}{131}{table.9}}
\newlabel{tab:16}{{9}{131}{\label {tab:16}Settings for HERAPDF2.0 and HERAPDF1.5. \newline $^{*}$: Setting was chosen exactly as for HERAPDF1.0. \newline $^{**}$: Parameter number 14 was $D_{u_{v}}$ and not $D_{\bar U}$. \newline $^{a}$: $M_c=1.49$\,GeV to assure $\mu ^2_{\rm f_{0}}<M_c^2$ \newline $^{b}$: $M_c=1.53$\,GeV to assure $\mu ^2_{\rm f_{0}}<M_c^2$ \newline $^{c}$: $M_c=1.6$\,GeV to assure $\mu ^2_{\rm f_{0}}<M_c^2$ \newline $^{d}$: For $\mu ^2_{\rm f_{0}}=1.5$\,GeV$^2$, also $A'_{g}$ and $B_g'$ were introduced (as for HERAPDF1.0 NLO). \newline $^{e}$: $\mu ^2_{\rm f_{0}}=1.6$\,GeV$^2$ to assure $\mu ^2_{\rm f_{0}} < M_c^2$ \newline $^{f}$: $\mu ^2_{\rm f_{0}}=1.8$\,GeV$^2$ to assure $\mu ^2_{\rm f_{0}} < M_c^2$ \newline \relax }{table.9}{}}
\newlabel{tab:HERAPD15}{{9}{131}{\label {tab:16}Settings for HERAPDF2.0 and HERAPDF1.5. \newline $^{*}$: Setting was chosen exactly as for HERAPDF1.0. \newline $^{**}$: Parameter number 14 was $D_{u_{v}}$ and not $D_{\bar U}$. \newline $^{a}$: $M_c=1.49$\,GeV to assure $\mu ^2_{\rm f_{0}}<M_c^2$ \newline $^{b}$: $M_c=1.53$\,GeV to assure $\mu ^2_{\rm f_{0}}<M_c^2$ \newline $^{c}$: $M_c=1.6$\,GeV to assure $\mu ^2_{\rm f_{0}}<M_c^2$ \newline $^{d}$: For $\mu ^2_{\rm f_{0}}=1.5$\,GeV$^2$, also $A'_{g}$ and $B_g'$ were introduced (as for HERAPDF1.0 NLO). \newline $^{e}$: $\mu ^2_{\rm f_{0}}=1.6$\,GeV$^2$ to assure $\mu ^2_{\rm f_{0}} < M_c^2$ \newline $^{f}$: $\mu ^2_{\rm f_{0}}=1.8$\,GeV$^2$ to assure $\mu ^2_{\rm f_{0}} < M_c^2$ \newline \relax }{table.9}{}}
\citation{fullcorr}
\newlabel{appendix:B}{{B}{132}{Appendix \Alph {section} -- PDFs released\relax }{section*.3}{}}
\citation{fullcorr}
\citation{HERAIcombi}
\newlabel{appendix:C}{{C}{134}{Appendix \Alph {section} -- Data tables\relax }{section*.4}{}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm  NC}}$ for NC $e^{+}p$ scattering at $\sqrt  {s} = 318 $\nobreakspace  {}GeV; $\delta _{\rm  stat}$, $\delta _{\rm  uncor}$ and $\delta _{\rm  cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta _{\rm  rel}$, $\delta _{\gamma p}$, $\delta _{\rm  had}$ and $\delta _{1}$ -- $\delta _{4}$ are the correlated sources of uncertainties arising from the combination procedure. The total uncertainty $\delta _{\rm  tot}$ is calculated by adding $\delta _{\rm  stat}$, $\delta _{\rm  uncor}$, $\delta _{\rm  cor}$ and the procedural uncertainties in quadrature. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm  NC}}$. }}{135}{table.10}}
\newlabel{tab615-318a1}{{10}{135}{\label {tab615-318a1} HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm NC}}$ for NC $e^{+}p$ scattering at $\sqrt {s} = 318 $~GeV; $\delta _{\rm stat}$, $\delta _{\rm uncor}$ and $\delta _{\rm cor}$ represent the statistical, uncorrelated systematic and correlated systematic uncertainties, respectively; $\delta _{\rm rel}$, $\delta _{\gamma p}$, $\delta _{\rm had}$ and $\delta _{1}$ -- $\delta _{4}$ are the correlated sources of uncertainties arising from the combination procedure. The total uncertainty $\delta _{\rm tot}$ is calculated by adding $\delta _{\rm stat}$, $\delta _{\rm uncor}$, $\delta _{\rm cor}$ and the procedural uncertainties in quadrature. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm NC}}$. \relax }{table.10}{}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{136}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{137}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{138}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{139}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{140}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{141}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{142}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces Continued.}}{143}{table.10}}
\@writefile{lot}{\contentsline {table}{\numberline {11}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm  NC}}$ for NC $e^{+}p$ scattering at $\sqrt  {s} = 300 $\nobreakspace  {}GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm  NC}}$. Other details as for Table\nobreakspace  {}\ref  {tab615-318a1}.}}{144}{table.11}}
\newlabel{tab615-300a1}{{11}{144}{\label {tab615-300a1} HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm NC}}$ for NC $e^{+}p$ scattering at $\sqrt {s} = 300 $~GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm NC}}$. Other details as for Table~\ref {tab615-318a1}}{table.11}{}}
\@writefile{lot}{\contentsline {table}{\numberline {11}{\ignorespaces Continued.}}{145}{table.11}}
\@writefile{lot}{\contentsline {table}{\numberline {12}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm  NC}}$ for NC $e^{+}p$ scattering at $\sqrt  {s} = 251 $\nobreakspace  {}GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm  NC}}$. Other details as for Table\nobreakspace  {}\ref  {tab615-318a1}. }}{146}{table.12}}
\newlabel{tab615-251a1}{{12}{146}{\label {tab615-251a1} HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm NC}}$ for NC $e^{+}p$ scattering at $\sqrt {s} = 251 $~GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm NC}}$. Other details as for Table~\ref {tab615-318a1}. \relax }{table.12}{}}
\@writefile{lot}{\contentsline {table}{\numberline {12}{\ignorespaces Continued.}}{147}{table.12}}
\@writefile{lot}{\contentsline {table}{\numberline {12}{\ignorespaces Continued.}}{148}{table.12}}
\@writefile{lot}{\contentsline {table}{\numberline {12}{\ignorespaces Continued.}}{149}{table.12}}
\@writefile{lot}{\contentsline {table}{\numberline {12}{\ignorespaces Continued.}}{150}{table.12}}
\@writefile{lot}{\contentsline {table}{\numberline {13}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm  NC}}$ for NC $e^{+}p$ scattering at $\sqrt  {s} = 225 $\nobreakspace  {}GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm  NC}}$. Other details as for Table\nobreakspace  {}\ref  {tab615-318a1}.}}{151}{table.13}}
\newlabel{tab615-225a1}{{13}{151}{\label {tab615-225a1} HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm NC}}$ for NC $e^{+}p$ scattering at $\sqrt {s} = 225 $~GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm NC}}$. Other details as for Table~\ref {tab615-318a1}}{table.13}{}}
\@writefile{lot}{\contentsline {table}{\numberline {13}{\ignorespaces Continued.}}{152}{table.13}}
\@writefile{lot}{\contentsline {table}{\numberline {13}{\ignorespaces Continued.}}{153}{table.13}}
\@writefile{lot}{\contentsline {table}{\numberline {13}{\ignorespaces Continued.}}{154}{table.13}}
\@writefile{lot}{\contentsline {table}{\numberline {14}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{- }_{r,{\rm  NC}}$ for NC $e^{-}p$ scattering at $\sqrt  {s} = 318 $\nobreakspace  {}GeV. The uncertainties are quoted in percent relative to $\sigma ^{- }_{r,{\rm  NC}}$. Other details as for Table\nobreakspace  {}\ref  {tab615-318a1}.}}{155}{table.14}}
\newlabel{tab515a1}{{14}{155}{\label {tab515a1} HERA combined reduced cross sections $\sigma ^{- }_{r,{\rm NC}}$ for NC $e^{-}p$ scattering at $\sqrt {s} = 318 $~GeV. The uncertainties are quoted in percent relative to $\sigma ^{- }_{r,{\rm NC}}$. Other details as for Table~\ref {tab615-318a1}}{table.14}{}}
\@writefile{lot}{\contentsline {table}{\numberline {14}{\ignorespaces Continued.}}{156}{table.14}}
\@writefile{lot}{\contentsline {table}{\numberline {14}{\ignorespaces Continued.}}{157}{table.14}}
\@writefile{lot}{\contentsline {table}{\numberline {15}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm  CC}}$ for CC $e^{+}p$ scattering at $\sqrt  {s} = 318 $\nobreakspace  {}GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm  CC}}$. Other details as for Table\nobreakspace  {}\ref  {tab615-318a1}. }}{158}{table.15}}
\newlabel{tab3615a1}{{15}{158}{\label {tab3615a1} HERA combined reduced cross sections $\sigma ^{+ }_{r,{\rm CC}}$ for CC $e^{+}p$ scattering at $\sqrt {s} = 318 $~GeV. The uncertainties are quoted in percent relative to $\sigma ^{+ }_{r,{\rm CC}}$. Other details as for Table~\ref {tab615-318a1}. \relax }{table.15}{}}
\@writefile{lot}{\contentsline {table}{\numberline {16}{\ignorespaces  HERA combined reduced cross sections $\sigma ^{- }_{r,{\rm  CC}}$ for CC $e^{-}p$ scattering at $\sqrt  {s} = 318 $\nobreakspace  {}GeV. The uncertainties are quoted in percent relative to $\sigma ^{- }_{r,{\rm  CC}}$. Other details as for Table\nobreakspace  {}\ref  {tab615-318a1}. }}{159}{table.16}}
\newlabel{tab3515a1}{{16}{159}{\label {tab3515a1} HERA combined reduced cross sections $\sigma ^{- }_{r,{\rm CC}}$ for CC $e^{-}p$ scattering at $\sqrt {s} = 318 $~GeV. The uncertainties are quoted in percent relative to $\sigma ^{- }_{r,{\rm CC}}$. Other details as for Table~\ref {tab615-318a1}. \relax }{table.16}{}}
