Document Type

Article

Publication Date

2024

DOI

10.1103/PhysRevD.109.014514

Publication Title

Physical Review D

Volume

109

Issue

1

Pages

014514

Abstract

We describe the approach to lattice extraction of generalized parton distributions (GPDs) that is based on the use of the double distribution (DD) formalism within the pseudodistribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a nontrivial correlation between 𝓍 and ξ dependences of GPDs. Another advantage of using DDs is that the D-term appears as an independent entity in the DD formalism rather than a part of GPDs H and E. We relate the ξ dependence of GPDs to the width of the α profiles of the corresponding DDs and discuss strategies for fitting lattice-extracted pseudodistributions by DDs. The approach described in the present paper may be used in ongoing and future lattice extractions of GPDs.

Rights

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Original Publication Citation

Radyushkin, A. V. (2024). Double distributions and pseudodistributions. Physical Review D, 109(1), 1-9, Article 014514. https://doi.org/10.1103/PhysRevD.109.014514

ORCID

0000-0002-9326-1300 (Radyushkin)

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