Unraveling generalized parton distributions through Lorentz symmetry and partial DGLAP knowledge

Author:

Dall’Olio P.1ORCID,De Soto F.2ORCID,Mezrag C.3ORCID,Morgado Chávez J. M.3ORCID,Moutarde H.3ORCID,Rodríguez-Quintero J.13,Sznajder P.4ORCID,Segovia J.2ORCID

Affiliation:

1. Departamento Ciencias Integradas, Centro de Estudios Avanzados en Física, Matemáticas y Computación, Facultad Ciencias Experimentales, Universidad de Huelva, Huelva 21071, Spain

2. Departamento Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide, 41013 Sevilla, Spain

3. Irfu, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France

4. National Centre for Nuclear Research (NCBJ), 02-093 Warsaw, Poland

Abstract

Relying on the polynomiality property of generalized parton distributions, which roots on Lorentz covariance, we prove that it is enough to know them at vanishing and low skewness within the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi region to obtain a unique extension to their entire support up to a D term. We put this idea in practice using two methods: reconstruction using artificial neural networks and finite-elements methods. We benchmark our results against standard models for generalized parton distributions. In agreement with the formal expectation, we obtain very a accurate reconstruction for a maximal value of the skewness as low as 20% of the longitudinal momentum fraction. This result might be relevant for reconstruction of generalized parton distribution from experimental and lattice QCD data, where computations are, for now, restricted in skewness. Published by the American Physical Society 2024

Funder

Agence Nationale de la Recherche

Horizon 2020 Framework Programme

Junta de Andalucía

Ministerio de Ciencia e Innovación

P2IO LabEx

Publisher

American Physical Society (APS)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Towards unpolarized GPDs from pseudo-distributions;Journal of High Energy Physics;2024-08-21

2. Pseudoscalar Mesons and Emergent Mass;Few-Body Systems;2024-05-24

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