Analysis of parton distributions in a pion with Bézier parametrizations

Kotz, Lucas; Courtoy, Aurore; Nadolsky, Pavel; Olness, Fredrick; Ponce-Chavez, Maximiliano

doi:10.1103/physrevd.109.074027

Title: Analysis of parton distributions in a pion with Bézier parametrizations

Journal Article · 24 April 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.074027 · OSTI ID:2282618

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Southern Methodist University, Dallas, TX (United States)
Universidad Nacional Autónoma de México, Ciudad de México (Mexico)

We explore the role of parametrizations for nonperturbative QCD functions in global analyses, with a specific application to extending a phenomenological analysis of the parton distribution functions (PDFs) in the charged pion realized in the xFitter fitting framework. The parametrization dependence of PDFs in our pion fits substantially enlarges the uncertainties from the experimental sources estimated in the previous analyses. We systematically explore the parametrization dependence by employing a novel technique to automate generation of polynomial parametrizations for PDFs that makes use of Bézier curves. This technique is implemented in a c++ module fantômas that is included in the xFitter program. Our analysis reveals that the sea and gluon distributions in the pion are not well disentangled, even when considering measurements in leading-neutron deep inelastic scattering. For example, the pion PDF solutions with a vanishing gluon and large quark sea are still experimentally allowed, which elevates the importance of ongoing lattice and nonperturbative QCD calculations, together with the planned pion scattering experiments, for conclusive studies of the pion structure.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); National Council of Humanities, Sciences and Technologies (CONACyT); National Autonomous University of Mexico (UNAM)

Grant/Contract Number:: AC02-07CH11359; SC0010129

OSTI ID:: 2282618

Alternate ID(s):: OSTI ID: 2340940

Report Number(s):: FERMILAB-PUB--23-695-V; SMU-HEP--23-04; arXiv:2311.08447; oai:inspirehep.net:2722715

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 109; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
parton distribution functions
perturbative QCD
QCD phenomenology
quantum chromodynamics
pions
data analysis

Title: Analysis of parton distributions in a pion with Bézier parametrizations

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