Autor: |
Hao-Cheng Zhang, Xiangdong Ji |
Jazyk: |
angličtina |
Rok vydání: |
2025 |
Předmět: |
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Zdroj: |
Nuclear Physics B, Vol 1010, Iss , Pp 116762- (2025) |
Druh dokumentu: |
article |
ISSN: |
0550-3213 |
DOI: |
10.1016/j.nuclphysb.2024.116762 |
Popis: |
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. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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