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On the positivity of MSbar distributions

2024/05/14 by Felix Hekhorn, Hekhorn, Felix
Mathematics · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.2405.08643

openalex publication_date 2024/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We discuss the positivity of parton distribution functions using the common MS factorization scheme. We find that in the perturbative regime MS PDFs inherit the strict positivity of physical PDFs. We explicitly discuss the scheme transformation by using suitable physical observables and find that MS PDFs are positive above the scale Q2 > 5 GeV2. Finally, we comment on the direct counterpart of longitudinally polarized PDFs, finding agreement with the unpolarized counterpart.

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