Resummation for lattice QCD calculation of generalized parton distributions at nonzero skewness
Year: 2025
Type: article
Abstract: A bstract Large-momentum effective theory (LaMET) provides an approach to directly calculate the x -dependence of generalized parton distributions (GPDs) on a Euclidean lattice through power expansion and a perturbative matching. When a parton’s momentum becomes soft, the corresponding logarithms in the matching kernel become non-negligible at higher orders of perturbation theory, which requires a resummation. But the resummation for the off-forward matrix elements at nonzero skewness ξ is difficult due to their multi-scale nature. In this work, we demonstrate that these logarithms are important only in the threshold limit, and derive the threshold factorization formula for the quasi-GPDs in LaMET. We then propose an approach to resum all the large logarithms based on the threshold factorization, which is implemented on a GPD model. We demonstrate that the LaMET prediction is reliable for [−1 + x 0 , − ξ − x 0 ] ∪ [− ξ + x 0 , ξ − x 0 ] ∪ [ ξ + x 0 , 1 − x 0 ], where x 0 is a cutoff depending on hard parton momenta. Through our numerical tests with the GPD model, we demonstrate that our method is self-consistent and that the inverse matching does not spread the nonperturbative effects or power corrections to the perturbatively calculable regions.
Source: Journal of High Energy Physics
Authors: Jack Holligan, Huey-Wen Lin, Rui Zhang, Yong Zhao
Institutions: Michigan State University, Argonne National Laboratory
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G102163711, G107546177, G1313983767, G1664757510, G1760870335, G2287611682, G2399599801, CAREER: Constraining Parton Distribution Functions for New-Physics Searches, G262962599, G2896472831, G3075337988, Mapping the Structure of Hadrons with Lattice QCD, G498139845, G5027663112, G513797252, G6671297155, G6848031779, G6918803902, G788322952, 3D QUARK-GLUON STRUCTURE OF HADRONS: MASS, SPIN, AND TOMOGRAPHY, G969889393, G993149817
OpenAlex ID: W4412683479