Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis

Courtoy, Aurore; Nadolsky, Pavel

doi:10.1103/PhysRevD.103.054029

Title: Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis

Journal Article · Mon Mar 22 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.103.054029· OSTI ID:1772166

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We discuss strategies for comparisons of nonperturbative QCD predictions for parton distribution functions (PDFs) with high-energy experiments in the region of large partonic momentum fractions x. Analytic functional forms for PDFs cannot be uniquely determined solely based on discrete experimental measurements because of a mathematical property of mimicry of PDF parametrizations that we prove using a representation based on Bézier curves. Predictions of nonperturbative QCD approaches for the x dependence of PDFs instead should be cast in a form that enables decisive comparisons against experimental measurements. Predictions for effective power laws of (1 – x) dependence of PDFs may play this role. Expectations for PDFs in a proton based on quark counting rules are compared against the effective power laws of (1 – x) dependence satisfied by CT18 next-to-next-to-leading-order parton distributions. We comment on implications for studies of PDFs in a pion, in particular on the comparison of nonperturbative approaches with phenomenological PDFs.

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Research Organization:: Southern Methodist Univ., Dallas, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Autonomous University of Mexico (UNAM); National Council for Science and Technology (Conacyt) Mexico

Grant/Contract Number:: SC0010129; DGAPA-PAPIIT IA101720; 51244

OSTI ID:: 1772166

Alternate ID(s):: OSTI ID: 1851333

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 103 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis

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