On convergence properties of GPD expansion through Mellin/conformal moments and orthogonal polynomials - INSPIRE

On convergence properties of GPD expansion through Mellin/conformal moments and orthogonal polynomials

Hao-Cheng Zhang
(
- Shandong U.
)
,
Xiangdong Ji
(
- Maryland U.
)

Aug 7, 2024

17 pages

Published in:

Nucl.Phys.B 1010 (2025) 116762

Published: Nov 29, 2024

e-Print:

2408.04133 [hep-ph]

DOI:

10.1016/j.nuclphysb.2024.116762 (publication)

View in:

ADS Abstract Service

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Abstract: (Elsevier B.V.)

We examine convergence properties of reconstructing the generalized parton distributions (GPDs) through the universal moment parameterization (GUMP). We provide a heuristic explanation for the connection between the formal summation/expansion and the Mellin-Barnes integral in the literature, and specify the exact convergence condition. We derive an asymptotic condition on the conformal moments of GPDs to satisfy the boundary condition at

x = 1

and subsequently develop an approximate formula for GPDs when

x > ξ

. Since experimental observables constraining GPDs can be expressed in terms of double or even triple summations involving their moments, scale evolution factors, and Wilson coefficients, etc., we propose a method to handle the ordering of the multiple summations and convert them into multiple Mellin-Barnes integrals via analytical continuations of integer summation indices.

Note:

17 pages, 5 figures, 1 table

Parton distributions
GPDs global analysis
Properties of hadrons
QCD phenomenology

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Figures(7)

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