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Main Author: Radyushkin, A. V.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2311.06007
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author Radyushkin, A. V.
author_facet Radyushkin, A. V.
contents We describe the approach to lattice extraction of Generalized Parton Distributions (GPDs) that is based on the use of the double distributions (DDs) formalism within the pseudo-distribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a non-trivial 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 pseudo-distributions by DDs.
format Preprint
id arxiv_https___arxiv_org_abs_2311_06007
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Double Distributions and Pseudo-Distributions
Radyushkin, A. V.
High Energy Physics - Phenomenology
High Energy Physics - Lattice
We describe the approach to lattice extraction of Generalized Parton Distributions (GPDs) that is based on the use of the double distributions (DDs) formalism within the pseudo-distribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a non-trivial 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 pseudo-distributions by DDs.
title Double Distributions and Pseudo-Distributions
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
url https://arxiv.org/abs/2311.06007