Determination of the pion generalized parton distributions at zero skewness

Fuente: arXiv
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Autores principales: The MMGPDs Collaboration, Goharipour, Muhammad, Amiri, M. H., Irani, Fatemeh, Hashamipour, Hadi, Azizi, K.
Formato: Preprint
Publicado: 2025
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author The MMGPDs Collaboration
Goharipour, Muhammad
Amiri, M. H.
Irani, Fatemeh
Hashamipour, Hadi
Azizi, K.
author_facet The MMGPDs Collaboration
Goharipour, Muhammad
Amiri, M. H.
Irani, Fatemeh
Hashamipour, Hadi
Azizi, K.
contents We perform a global QCD analysis of the pion electromagnetic form factor (FF) data from pion electroproduction and elastic pion scattering to extract the valence pion generalized parton distributions (GPDs) at zero skewness. The analysis uses three different sets of pion parton distribution functions (PDFs), namely xFitter, JAM21, and MAP23, to construct the GPD ansatz. Through a $χ^2$ minimization and a careful parametrization scan, we determine the profile function parameters and find that only two parameters are sufficient to describe the data. The extracted valence pion GPDs from different analyses have similar $x$-dependence, with minor differences at small momentum transfer. The resulting theoretical predictions for the pion electromagnetic FF and its squared magnitude show good agreement with experimental measurements. Among the three analyses, the one using the MAP23 PDFs provides the best overall fit and is adopted as the final GPD set. Our results offer a consistent determination of the valence pion GPDs, indicating a minor impact of the choice of pion PDFs. The present study provides a solid foundation for future investigations of pion structure, including its charge radius, tomography, and mechanical properties.
format Preprint
id arxiv_https___arxiv_org_abs_2508_15073
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Determination of the pion generalized parton distributions at zero skewness
The MMGPDs Collaboration
Goharipour, Muhammad
Amiri, M. H.
Irani, Fatemeh
Hashamipour, Hadi
Azizi, K.
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We perform a global QCD analysis of the pion electromagnetic form factor (FF) data from pion electroproduction and elastic pion scattering to extract the valence pion generalized parton distributions (GPDs) at zero skewness. The analysis uses three different sets of pion parton distribution functions (PDFs), namely xFitter, JAM21, and MAP23, to construct the GPD ansatz. Through a $χ^2$ minimization and a careful parametrization scan, we determine the profile function parameters and find that only two parameters are sufficient to describe the data. The extracted valence pion GPDs from different analyses have similar $x$-dependence, with minor differences at small momentum transfer. The resulting theoretical predictions for the pion electromagnetic FF and its squared magnitude show good agreement with experimental measurements. Among the three analyses, the one using the MAP23 PDFs provides the best overall fit and is adopted as the final GPD set. Our results offer a consistent determination of the valence pion GPDs, indicating a minor impact of the choice of pion PDFs. The present study provides a solid foundation for future investigations of pion structure, including its charge radius, tomography, and mechanical properties.
title Determination of the pion generalized parton distributions at zero skewness
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2508.15073