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Article
Report number	arXiv:2105.06688 ; CERN-TH-2021-078
Title	On factorisation schemes for the electron parton distribution functions in QED
Author(s)	Frixione, Stefano (INFN, Genoa ; CERN)
Publication	2021-07-23
Imprint	2021-05-14
Number of pages	32
Note	32 pages; eq.(3.7) has been corrected, and the text relevant to it amended
In:	JHEP 2107 (2021) pp.180
DOI	10.1007/JHEP07(2021)180 10.1007/JHEP12(2021)196 (erratum)
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	The electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron have recently been computed at the next-to-leading logarithmic accuracy in QED, by adopting the $\overline{\rm MS}$ factorisation scheme. We present here analogous results, obtained by working in a different framework that is inspired by the so-called DIS scheme. We derive analytical solutions relevant to the large-$z$ region, where we show that the behaviour of the PDFs depends in a dramatic way on whether running-$\alpha$ effects are included to all orders, as opposed to being truncated to some fixed order. By means of suitable initial and evolution conditions, next-to-leading logarithmic accurate PDFs are obtained whose large-$z$ functional forms are identical to those of their leading logarithmic counterparts.
Copyright/License	publication: © 2021-2024 The Authors (License: CC-BY-4.0), sponsored by SCOAP³ preprint: (License: arXiv nonexclusive-distrib 1.0)

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