\relax \bibstyle{charmfit} \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 \citation{h1zeus:2009wt} \citation{ref:SACOTchi} \citation{ref:ACOTfull} \citation{ref:RT} \citation{ThornePrivComm} \citation{ThornePrivComm} \citation{ref:f2charmdata} \citation{h1zeus:2009wt} \citation{qcdnum} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}} \newlabel{sec:intro}{{1}{1}{Introduction\relax }{section.1}{}} \@writefile{toc}{\contentsline {section}{\numberline {2}Data and QCD Fit Settings}{1}{section.2}} \newlabel{sec:fit}{{2}{1}{Data and QCD Fit Settings\relax }{section.2}{}} \citation{h1zeus:2009wt} \citation{Gribov:1972ri} \citation{Gribov:1972rt} \citation{Lipatov:1974qm} \citation{Dokshitzer:1977sg} \citation{Altarelli:1977zs} \citation{Curci:1980uw} \citation{Furmanski:1980cm} \citation{pdg} \citation{ref:ACOTfull} \citation{ref:SACOTchi} \citation{ref:RT} \citation{ThornePrivComm} \citation{ThornePrivComm} \citation{NNPDF} \citation{h1zeus:2009wt} \citation{h1zeus:2009wt} \newlabel{eqn:pdf}{{1}{2}{Data and QCD Fit Settings\relax }{equation.1}{}} \newlabel{eq:flex}{{2}{2}{Data and QCD Fit Settings\relax }{equation.2}{}} \@writefile{toc}{\contentsline {section}{\numberline {3}Determination of Optimal \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}}{2}{section.3}} \newlabel{sec:mcfit}{{3}{2}{Determination of Optimal \mct \relax }{section.3}{}} \citation{h1zeus:2009wt} \citation{pdf4lhc} \citation{dstar} \@writefile{toc}{\contentsline {section}{\numberline {4}$W^{\pm },Z$ Production Cross Sections at the LHC}{3}{section.4}} \newlabel{sec:lhc}{{4}{3}{$W^{\pm },Z$ Production Cross Sections at the LHC\relax }{section.4}{}} \bibdata{charmfit.bib} \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces The \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ as determined from the \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}\ scans in different heavy flavour schemes. The corresponding $\chi ^2$ per degrees of freedom $dof$ (per number of data points $ndp$) values for the complete data set using inclusive and charm data (for the charm data only) are presented, as obtained using the flexible gluon parametrisation. The predictions of the $Z/W$ cross sections at LHC are given.}}{4}{table.1}} \newlabel{sigma_tab}{{1}{4}{$W^{\pm },Z$ Production Cross Sections at the LHC\relax }{table.1}{}} \@writefile{toc}{\contentsline {section}{\numberline {5}Conclusions}{4}{section.5}} \newlabel{sec:conclusions}{{5}{4}{Conclusions\relax }{section.5}{}} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \it $\chi ^2$ of the HERA I data fit (HERAPDF1.0) in the standard RT scheme as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}\ . Open and closed symbols represent flexible and standard parametrisation repsectively (see text for the explanation).}}{5}{figure.1}} \newlabel{fig:chnocharmrt}{{1}{5}{Conclusions\relax }{figure.1}{}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \it $\chi ^2$ of the HERA I+\unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ fit in the standard RT scheme as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}\ . Open and closed symbols represent flexible and standard parametrisation repsectively (see text for the explanation).}}{5}{figure.2}} \newlabel{fig:chcharmrt}{{2}{5}{Conclusions\relax }{figure.2}{}} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces \it $\chi ^2$ of the HERA I + \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ fit in the optimised RT scheme as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}\ . Open and closed symbols represent flexible and standard parametrisation repsectively (see text for the explanation).}}{6}{figure.3}} \newlabel{fig:chcharmrto}{{3}{6}{Conclusions\relax }{figure.3}{}} \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \it $\chi ^2$ of the HERA I + \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ fit in the ACOT-full scheme as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}\ . 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Open and closed symbols represent flexible and standard parametrisation repsectively (see text for the explanation).}}{7}{figure.5}} \newlabel{fig:chcharmacotc}{{5}{7}{Conclusions\relax }{figure.5}{}} \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces \it $\chi ^2$ of the HERA I + \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ fit in the ZMVFN scheme as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}\ . Open and closed symbols represent flexible and standard parametrisation repsectively (see text for the explanation).}}{7}{figure.6}} \newlabel{fig:chcharmz}{{6}{7}{Conclusions\relax }{figure.6}{}} \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces \it Comparison of the $\chi ^2$ of HERA I + \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ fits using different heavy flavour schemes represented as lines of different styles. The flexible parmetrisation was used for the fits shown in the figure. }}{8}{figure.7}} \newlabel{fig:chall}{{7}{8}{Conclusions\relax }{figure.7}{}} \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces \it \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ as a function of $x$ in $Q^2$ bins compared to QCD fits using different heavy flavour schemes obtained at \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ of each scheme. The data are shown with the uncorrelated uncertainties.}}{9}{figure.8}} \newlabel{fig:data5}{{8}{9}{Conclusions\relax }{figure.8}{}} \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces \it \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ as a function of $x$ in $Q^2$ bins compared to QCD fit using the RT standard scheme obtained at \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ . The data are shown with the uncorrelated uncertainties.}}{10}{figure.9}} \newlabel{fig:datart}{{9}{10}{Conclusions\relax }{figure.9}{}} \@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces \it \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ as a function of $x$ in $Q^2$ bins compared to QCD fit using the RT optimised scheme obtained at \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ . The data are shown with the uncorrelated uncertainties.}}{11}{figure.10}} \newlabel{fig:datarto}{{10}{11}{Conclusions\relax }{figure.10}{}} \@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces \it \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ as a function of $x$ in $Q^2$ bins compared to QCD fit using the ACOT-full scheme obtained at \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ . The data are shown with the uncorrelated uncertainties.}}{12}{figure.11}} \newlabel{fig:dataacotf}{{11}{12}{Conclusions\relax }{figure.11}{}} \@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces \it \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ as a function of $x$ in $Q^2$ bins compared to QCD fit using the S-ACOT-$\chi $ scheme obtained at \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ . The data are shown with the uncorrelated uncertainties.}}{13}{figure.12}} \newlabel{fig:dataacotc}{{12}{13}{Conclusions\relax }{figure.12}{}} \@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces \it \unhbox \voidb@x \hbox {$F_2^{c\mathaccentV {bar}016{c}}$}\ as a function of $x$ in $Q^2$ bins compared to QCD fit using the ZMVFN scheme obtained at \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}\ . The data are shown with the uncorrelated uncertainties.}}{14}{figure.13}} \newlabel{fig:dataz}{{13}{14}{Conclusions\relax }{figure.13}{}} \@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces \it $W^{+}$ production cross section $\sigma _{W^+}$ at the LHC for $\sqrt {s}=7$\nobreakspace {}TeV as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}. The lines show predictions for different VFN schemes as inidcated by the legend. The stars show position of the corresponding $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$ values. The thick dashed horizontal lines indicate the range of $\sigma _{W^+}$, determined for $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}=\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$, if massive VFN schemes are considered. The thin dashed horizontal line corresponds to the prediction using ZMVFN scheme for $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}=\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$. }}{15}{figure.14}} \newlabel{fig:wp}{{14}{15}{Conclusions\relax }{figure.14}{}} \@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces \it $W^{-}$ production cross section $\sigma _{W^-}$ at the LHC for $\sqrt {s}=7$\nobreakspace {}TeV as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}. The lines show predictions for different VFN schemes as inidcated by the legend. The stars show position of the corresponding $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$ values. The thick dashed horizontal lines indicate the range of $\sigma _{W^-}$, determined for $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}=\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$, if massive VFN schemes are considered. The thin dashed horizontal line corresponds to the prediction using ZMVFN scheme for $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}=\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$. }}{16}{figure.15}} \newlabel{fig:wm}{{15}{16}{Conclusions\relax }{figure.15}{}} \@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces \it $Z$ production cross section $\sigma _{Z}$ at the LHC for $\sqrt {s}=7$\nobreakspace {}TeV as a function of \unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}. The lines show predictions for different VFN schemes as inidcated by the legend. The stars show position of the corresponding $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$ values. The thick dashed horizontal lines indicate the range of $\sigma _{Z}$, determined for $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}=\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$, if massive VFN schemes are considered. The thin dashed horizontal line corresponds to the prediction using ZMVFN scheme for $\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}$}=\unhbox \voidb@x \hbox {$m_c^{\rm \unhbox \voidb@x \hbox {\relax \fontsize {6}{7}\selectfont model}}({\rm opt})$}$. }}{17}{figure.16}} \newlabel{fig:z}{{16}{17}{Conclusions\relax }{figure.16}{}}