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Factorisation schemes for proton PDFs
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DOI：10.1140/epjc/s10052-025-14194-x.png)
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Abstract
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Beyond leading-order, perturbative QCD requires a choice of factorisation scheme to define the parton distribution functions (PDFs) and hard-process cross-section. The modified minimal-subtraction (MS\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\overline{\textrm{MS}}}$$\end{document}) scheme has long been adopted as the default choice due to its simplicity. Alternative schemes have been proposed with specific purposes, including, recently, PDF positivity and NLO parton-shower matching. In this paper we assemble these schemes in a common notation for the first time. We perform a detailed comparison of their features, both analytically and numerically, and estimate the resulting factorisation-scheme uncertainty for LHC phenomenology.
Keywords:
DEEP-INELASTIC SCATTERING
PRODUCTION CROSS-SECTION
ORDER QCD PREDICTIONS
TO-LEADING ORDER
PARTON DISTRIBUTIONS
BOSON PRODUCTION
EP SCATTERING
HEAVY QUARKS
FIXED-TARGET
RESUMMATION
Journal
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4.8
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1.8W
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4.7W