String-based axial and helicity-flip GPDs: a comparison to lattice QCD

Fuente: arXiv
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Autori principali: Hechenberger, Florian, Mamo, Kiminad A., Zahed, Ismail
Natura: Preprint
Pubblicazione: 2025
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author Hechenberger, Florian
Mamo, Kiminad A.
Zahed, Ismail
author_facet Hechenberger, Florian
Mamo, Kiminad A.
Zahed, Ismail
contents We construct an analytic, string based representation of the nucleon's axial and helicity flip conformal moments of generalized parton distributions that holds for any skewness and for both the quark and gluon channels. The starting point is the Mellin Barnes resummation of the conformal partial wave expansion, where the moments are parametrized by open (Reggeon) and closed string (Pomeron) trajectories with slopes determined by experimental form factors and meson/glueball spectroscopy. The forward limits are fixed by the empirical unpolarized and polarized parton distributions. Polynomiality, crossing symmetry and support are satisfied by construction. After NLO DGLAP ERBL evolution to $μ=2$ GeV our analytic framework (i) reproduces some of the currently available lattice moments of $\mathbb{E}$ and $\widetilde{\mathbb{H}}$ in the non singlet sector, (ii) predicts sea quark and gluon polarized moments that will be testable by forthcoming simulations and experiments at Jefferson Lab and the future EIC, and (iii) yields axial and helicity flip GPDs in $x$ space in reasonable agreement with lattice QCD.
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id arxiv_https___arxiv_org_abs_2508_00817
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle String-based axial and helicity-flip GPDs: a comparison to lattice QCD
Hechenberger, Florian
Mamo, Kiminad A.
Zahed, Ismail
High Energy Physics - Phenomenology
Nuclear Theory
We construct an analytic, string based representation of the nucleon's axial and helicity flip conformal moments of generalized parton distributions that holds for any skewness and for both the quark and gluon channels. The starting point is the Mellin Barnes resummation of the conformal partial wave expansion, where the moments are parametrized by open (Reggeon) and closed string (Pomeron) trajectories with slopes determined by experimental form factors and meson/glueball spectroscopy. The forward limits are fixed by the empirical unpolarized and polarized parton distributions. Polynomiality, crossing symmetry and support are satisfied by construction. After NLO DGLAP ERBL evolution to $μ=2$ GeV our analytic framework (i) reproduces some of the currently available lattice moments of $\mathbb{E}$ and $\widetilde{\mathbb{H}}$ in the non singlet sector, (ii) predicts sea quark and gluon polarized moments that will be testable by forthcoming simulations and experiments at Jefferson Lab and the future EIC, and (iii) yields axial and helicity flip GPDs in $x$ space in reasonable agreement with lattice QCD.
title String-based axial and helicity-flip GPDs: a comparison to lattice QCD
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2508.00817