Factorisation schemes for proton PDFs
arXiv:2501.18289 · doi:10.1140/epjc/s10052-025-14194-x
Abstract
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 () 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.
53 pages, 31 figures, 9 tables. Minor alterations. Version published in EPJC
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