\begin{thebibliography}{39}
\expandafter\ifx\csname natexlab\endcsname\relax\def\natexlab#1{#1}\fi
\expandafter\ifx\csname bibnamefont\endcsname\relax
  \def\bibnamefont#1{#1}\fi
\expandafter\ifx\csname bibfnamefont\endcsname\relax
  \def\bibfnamefont#1{#1}\fi
\expandafter\ifx\csname citenamefont\endcsname\relax
  \def\citenamefont#1{#1}\fi
\expandafter\ifx\csname url\endcsname\relax
  \def\url#1{\texttt{#1}}\fi
\expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{URL }\fi
\providecommand{\bibinfo}[2]{#2}
\providecommand{\eprint}[2][]{#2}

\bibitem[{\citenamefont{Cooper-Sarkar and Devenish}(2011)}]{saturation}
\bibinfo{author}{\bibfnamefont{A.}~\bibnamefont{Cooper-Sarkar}}
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  \emph{\bibinfo{title}{Deep Inelastic Scattering}}, Oxford Univ. Press
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\bibitem[{\citenamefont{Abramowicz \emph{et~al.}}(2015)}]{HERAPDF20}
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\bibitem[{\citenamefont{Gribov and
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  \bibinfo{author}{\bibfnamefont{L.~N.} \bibnamefont{Lipatov}},
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\bibitem[{\citenamefont{Lipatov}(1975)}]{Lipatov:1974qm}
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\bibitem[{\citenamefont{Dokshitzer}(1977)}]{Dokshitzer:1977sg}
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  \bibinfo{journal}{Sov.\ Phys.\ JETP} \textbf{\bibinfo{volume}{46}},
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\bibitem[{\citenamefont{Altarelli and Parisi}(1977)}]{Altarelli:1977zs}
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  \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Parisi}},
  \bibinfo{journal}{Nucl.\ Phys.\ B} \textbf{\bibinfo{volume}{126}},
  \bibinfo{pages}{298} (\bibinfo{year}{1977}).

\bibitem[{\citenamefont{Fanchiotti and Sirlin}(1993)}]{MSbar}
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\bibitem[{\citenamefont{Aktas \emph{et~al.}}(2007)}]{h1highq2oldjets}
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\bibitem[{\citenamefont{Aaron \emph{et~al.}}(2010{\natexlab{a}})}]{h1lowq2jets}
\bibinfo{author}{\bibfnamefont{F.}~\bibnamefont{Aaron}}
  \bibnamefont{\emph{et~al.}} [\bibinfo{collaboration}{H1} Collaboration],
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  \eprint{[arXiv:0911.5678]}.

\bibitem[{\citenamefont{Chekanov \emph{et~al.}}(2002)}]{zeus9697jets}
\bibinfo{author}{\bibfnamefont{S.}~\bibnamefont{Chekanov}}
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\bibitem[{\citenamefont{Abramowicz \emph{et~al.}}(2010)}]{zeusdijets}
\bibinfo{author}{\bibfnamefont{H.}~\bibnamefont{Abramowicz}}
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  \bibinfo{pages}{965} (\bibinfo{year}{2010}), \eprint{[arXiv:1010.6167]}.

\bibitem[{\citenamefont{Andreev \emph{et~al.}}(2015)}]{h1highq2newjets}
\bibinfo{author}{\bibfnamefont{V.}~\bibnamefont{Andreev}}
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  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{65}},
  \bibinfo{pages}{2} (\bibinfo{year}{2015}), \eprint{[arXiv:1406.4709]}.

\bibitem[{\citenamefont{Andreev
  \emph{et~al.}}(2017{\natexlab{a}})}]{h1lowq2newjets}
\bibinfo{author}{\bibfnamefont{V.}~\bibnamefont{Andreev}}
  \bibnamefont{\emph{et~al.}} [\bibinfo{collaboration}{H1} Collaboration],
  \bibinfo{journal}{Eur. Phys. J. C} \textbf{\bibinfo{volume}{77}},
  \bibinfo{pages}{215} (\bibinfo{year}{2017}{\natexlab{a}}),
  \bibinfo{note}{[Erratum: Eur. Phys. J. C 81, 739 (2021)]},
  \eprint{[arXiv:1611.03421]}.

\bibitem[{\citenamefont{Currie \emph{et~al.}}(2016)\citenamefont{Currie,
  Gehrmann, and Niehues}}]{nnlojet1}
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  \bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Gehrmann}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Niehues}},
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  \bibinfo{pages}{042001} (\bibinfo{year}{2016}), \eprint{[arXiv:1606.03991]}.

\bibitem[{\citenamefont{Currie \emph{et~al.}}(2017)\citenamefont{Currie,
  Gehrmann, Huss, and Niehues}}]{nnlojet2}
\bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Currie}},
  \bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Gehrmann}},
  \bibinfo{author}{\bibfnamefont{A.}~\bibnamefont{Huss}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Niehues}},
  \bibinfo{journal}{JHEP} \textbf{\bibinfo{volume}{07}}, \bibinfo{pages}{018}
  (\bibinfo{year}{2017}), \bibinfo{note}{[Erratum: JHEP 12, 042 (2020)]},
  \eprint{[arXiv:1703.05977]}.

\bibitem[{\citenamefont{Gehrmann \emph{et~al.}}(2017)}]{nnlojet:general}
\bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Gehrmann}}
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  13th International Symposium on Radiative Corrections (RADCOR2017),
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  \eprint{[arXiv:1801.06415]}.

\bibitem[{\citenamefont{Kluge \emph{et~al.}}(2006)\citenamefont{Kluge,
  Rabbertz, and Wobisch}}]{fastnlo1-claire}
\bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Kluge}},
  \bibinfo{author}{\bibfnamefont{K.}~\bibnamefont{Rabbertz}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Wobisch}}
  (\bibinfo{year}{2006}), \eprint{[hep-ph/0609285]}.

\bibitem[{\citenamefont{Britzger \emph{et~al.}}(2012)}]{fastnlo2-claire}
\bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Britzger}}
  \bibnamefont{\emph{et~al.}}, in \emph{\bibinfo{booktitle}{20th International
  Workshop on Deep-Inelastic Scattering and Related Subjects (DIS 2012): Bonn,
  Germany}} (\bibinfo{year}{2012}), p. \bibinfo{pages}{217},
  \eprint{[arXiv:1208.3641]}.

\bibitem[{\citenamefont{Britzger \emph{et~al.}}(2014)}]{fastnlo3-claire}
\bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Britzger}}
  \bibnamefont{\emph{et~al.}}, in \emph{\bibinfo{booktitle}{22nd International
  Workshop on Deep-Inelastic Scattering and Related Subjects (DIS 2014):
  Warsaw, Poland}} (\bibinfo{year}{2014}),
  \urlprefix\url{http://indico.cern.ch/event/258017/session/1/contribution/202}.

\bibitem[{\citenamefont{Carli \emph{et~al.}}(2005)\citenamefont{Carli, Salam,
  and Siegert}}]{applgrid1}
\bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Carli}},
  \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Salam}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{F.}~\bibnamefont{Siegert}}
  (\bibinfo{year}{2005}), \eprint{[hep-ph/0510324]}.

\bibitem[{\citenamefont{Carli \emph{et~al.}}(2010)}]{applgrid2}
\bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Carli}}
  \bibnamefont{\emph{et~al.}}, \bibinfo{journal}{Eur.\ Phys.\ J.\ C}
  \textbf{\bibinfo{volume}{66}}, \bibinfo{pages}{503} (\bibinfo{year}{2010}),
  \eprint{[arXiv:0911.2985]}.

\bibitem[{\citenamefont{Andreev
  \emph{et~al.}}(2017{\natexlab{b}})}]{applfast:dis}
\bibinfo{author}{\bibfnamefont{V.}~\bibnamefont{Andreev}}
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  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{77}},
  \bibinfo{pages}{791} (\bibinfo{year}{2017}{\natexlab{b}}).

\bibitem[{\citenamefont{Thorne and Roberts}(1998)}]{Thorne:1997ga}
\bibinfo{author}{\bibfnamefont{R.~S.} \bibnamefont{Thorne}} \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{R.~G.} \bibnamefont{Roberts}},
  \bibinfo{journal}{Phys.\ Rev.\ D} \textbf{\bibinfo{volume}{57}},
  \bibinfo{pages}{6871} (\bibinfo{year}{1998}), \eprint{[hep-ph/9709442]}.

\bibitem[{\citenamefont{Thorne}(2006)}]{Thorne:2006qt}
\bibinfo{author}{\bibfnamefont{R.~S.} \bibnamefont{Thorne}},
  \bibinfo{journal}{Phys.\ Rev.\ D} \textbf{\bibinfo{volume}{73}},
  \bibinfo{pages}{054019} (\bibinfo{year}{2006}), \eprint{[hep-ph/0601245]}.

\bibitem[{\citenamefont{Thorne}(2012)}]{Thorne:RTopt}
\bibinfo{author}{\bibfnamefont{R.~S.} \bibnamefont{Thorne}},
  \bibinfo{journal}{Phys.\ Rev.\ D} \textbf{\bibinfo{volume}{86}},
  \bibinfo{pages}{074017} (\bibinfo{year}{2012}), \eprint{[arXiv:1201.6180]}.

\bibitem[{\citenamefont{Abramowicz \emph{et~al.}}(2018)}]{combi-cb}
\bibinfo{author}{\bibfnamefont{H.}~\bibnamefont{Abramowicz}}
  \bibnamefont{\emph{et~al.}},  [H1 and ZEUS Collaborations],
  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{78}},
  \bibinfo{pages}{473} (\bibinfo{year}{2018}), \eprint{[arXiv:1804.01019]}.

\bibitem[{\citenamefont{Britzger \emph{et~al.}}(2019)}]{nnlojetalphas}
\bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Britzger}}
  \bibnamefont{\emph{et~al.}},  [NNLOJet and Applfast Collaborations],
  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{79}},
  \bibinfo{pages}{845} (\bibinfo{year}{2019}), \eprint{[arXiv:1906.05303]}.

\bibitem[{\citenamefont{Aaron \emph{et~al.}}(2013)}]{HERAccombi}
\bibinfo{author}{\bibfnamefont{F.~D.} \bibnamefont{Aaron}}
  \bibnamefont{\emph{et~al.}},  [H1 and ZEUS Collaborations],
  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{73}},
  \bibinfo{pages}{2311} (\bibinfo{year}{2013}), \eprint{[arXiv:1211.1182]}.

\bibitem[{\citenamefont{Botje}(2011)}]{QCDNUM}
\bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Botje}},
  \bibinfo{journal}{Comp.\ Phys.\ Commun.} \textbf{\bibinfo{volume}{182}},
  \bibinfo{pages}{490} (\bibinfo{year}{2011}), \eprint{[arXiv:1005.1481]}.

\bibitem[{\citenamefont{Alekhin \emph{et~al.}}(2014)}]{HERAfitter}
\bibinfo{author}{\bibfnamefont{S.}~\bibnamefont{Alekhin}}
  \bibnamefont{\emph{et~al.}} (\bibinfo{year}{2014}),
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\bibitem[{\citenamefont{Spiesberger}(1995)}]{Spiesberger:95}
\bibinfo{author}{\bibfnamefont{H.}~\bibnamefont{Spiesberger}}, in
  \emph{\bibinfo{booktitle}{Proceedings of Future Physics at HERA}}, edited by
  \bibinfo{editor}{\bibnamefont{\mbox{G.~Ingelman, A.~De~Roeck}}}
  \bibnamefont{and} \bibinfo{editor}{\bibfnamefont{R.}~\bibnamefont{Klanner}}
  (\bibinfo{year}{1995}), p. \bibinfo{pages}{227}.

\bibitem[{\citenamefont{Andreev
  \emph{et~al.}}(2017{\natexlab{c}})}]{H1lovesDaniel}
\bibinfo{author}{\bibfnamefont{V.}~\bibnamefont{Andreev}}
  \bibnamefont{\emph{et~al.}} [\bibinfo{collaboration}{H1} Collaboration],
  \bibinfo{journal}{Eur. Phys. J. C} \textbf{\bibinfo{volume}{77}},
  \bibinfo{pages}{791} (\bibinfo{year}{2017}{\natexlab{c}}),
  \bibinfo{note}{[Erratum: Eur. Phys. J. C 81, 738 (2021)]},
  \eprint{[1709.07251]}.

\bibitem[{\citenamefont{Aaron \emph{et~al.}}(2010{\natexlab{b}})}]{HERAIcombi}
\bibinfo{author}{\bibfnamefont{F.}~\bibnamefont{Aaron}}
  \bibnamefont{\emph{et~al.}},  [H1 and ZEUS Collaborations],
  \bibinfo{journal}{JHEP} \textbf{\bibinfo{volume}{1001}}, \bibinfo{pages}{109}
  (\bibinfo{year}{2010}{\natexlab{b}}), \eprint{[arXiv:0911.0884]}.

\bibitem[{\citenamefont{Martin \emph{et~al.}}(2009)\citenamefont{Martin,
  Stirling, Thorne, and Watt}}]{Martin:2009iq}
\bibinfo{author}{\bibfnamefont{A.~D.} \bibnamefont{Martin}},
  \bibinfo{author}{\bibfnamefont{W.~J.} \bibnamefont{Stirling}},
  \bibinfo{author}{\bibfnamefont{R.~S.} \bibnamefont{Thorne}},
  \bibnamefont{and} \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Watt}},
  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{63}},
  \bibinfo{pages}{189} (\bibinfo{year}{2009}), \eprint{[arXiv:0901.0002]}.

\bibitem[{\citenamefont{Nadolsky \emph{et~al.}}(2008)}]{Nadolsky:2008zw}
\bibinfo{author}{\bibfnamefont{P.~M.} \bibnamefont{Nadolsky}}
  \bibnamefont{\emph{et~al.}}, \bibinfo{journal}{Phys.\ Rev.\ D}
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\bibitem[{\citenamefont{Aaboud \emph{et~al.}}(2017)}]{atlasstrange}
\bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Aaboud}}
  \bibnamefont{\emph{et~al.}} [\bibinfo{collaboration}{ATLAS} Collaboration],
  \bibinfo{journal}{Eur.\ Phys.\ J.\ C} \textbf{\bibinfo{volume}{77}},
  \bibinfo{pages}{367} (\bibinfo{year}{2017}), \eprint{[arXiv:1612.03016]}.

\bibitem[{\citenamefont{{M. Tanabashi {\it et al.} (Particle Data
  Group)}}(2018)}]{PDG18}
\bibinfo{author}{\bibnamefont{{M. Tanabashi {\it et al.} (Particle Data
  Group)}}}, \bibinfo{journal}{Phys.\ Rev.\ D} \textbf{\bibinfo{volume}{98}},
  \bibinfo{pages}{030001} (\bibinfo{year}{2018}).

\bibitem[{ful()}]{fullcorr}
\bibinfo{note}{{The combined data together with the full correlation
  information and the grids for HERAPDF2.0 are provided at
  }}\urlprefix\url{{http://www.desy.de/h1zeus/herapdf20/}} .

\end{thebibliography}
