Double distributions and pseudodistributions

Radyushkin, A. V.

doi:10.1103/PhysRevD.109.014514

Double distributions and pseudodistributions

Journal Article · Wed Jan 31 00:00:00 EST 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.014514· OSTI ID:2283476

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.

Published by the American Physical Society 2024

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: U.S. Department of Energy; USDOE

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028

OSTI ID:: 2283476

Alternate ID(s):: OSTI ID: 2338062

Report Number(s):: DOE/OR/23177--7283; JLAB-THY--23-3964; 014514

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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