On the positivity of [Formula omitted] parton distributions

We revisit our argument that shows that parton distribution functions (PDFs) in the [Formula omitted] scheme are non-negative in the perturbative region, with the dual goals of clarifying its theoretical underpinnings and elucidating its domain of validity. We specifically discuss recent results pro...

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Bibliographic Details
Published in:	The European physical journal. C, Particles and fields Vol. 84; no. 3
Main Authors:	Candido, Alessandro, Forte, Stefano, Giani, Tommaso, Hekhorn, Felix
Format:	Journal Article
Language:	English
Published:	Springer 01.03.2024
Subjects:	Distribution (Probability theory)
ISSN:	1434-6044
Online Access:	Get full text
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Summary:	We revisit our argument that shows that parton distribution functions (PDFs) in the [Formula omitted] scheme are non-negative in the perturbative region, with the dual goals of clarifying its theoretical underpinnings and elucidating its domain of validity. We specifically discuss recent results proving that PDFs can turn negative at sufficiently low scale, we clarify quantitatively various aspects of our derivation of positivity in the perturbative region, and we provide an estimate for the scale above which PDF positivity holds.
ISSN:	1434-6044
DOI:	10.1140/epjc/s10052-024-12681-1