We revisit our argument that shows that parton distribution functions (PDFs) in the MS¯ 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.
On the positivity of $$\overline{\textrm{MS}}$$ parton distributions / A. Candido, S. Forte, T. Giani, F. Hekhorn. - In: EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6052. - 84:3(2024 Mar 30), pp. 335.1-335.12. [10.1140/epjc/s10052-024-12681-1]
On the positivity of $$\overline{\textrm{MS}}$$ parton distributions
A. CandidoPrimo
;S. Forte
Secondo
;F. HekhornUltimo
2024
Abstract
We revisit our argument that shows that parton distribution functions (PDFs) in the MS¯ 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.
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