Resummation for lattice QCD calculation of generalized parton distributions at nonzero skewness

Holligan, Jack; Lin, Huey-Wen; Zhang, Rui; Zhao, Yong

doi:10.1007/JHEP07(2025)241

Title: Resummation for lattice QCD calculation of generalized parton distributions at nonzero skewness

Journal Article · Thu Jul 24 00:00:00 UTC 2025 · Journal of High Energy Physics

DOI: https://doi.org/10.1007/JHEP07(2025)241 · OSTI ID:2998129

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Michigan State Univ., East Lansing, MI (United States)
Argonne National Laboratory (ANL), Argonne, IL (United States)

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 + x₀, −ξ − x₀] ∪ [−ξ + x₀, ξ − x₀] ∪ [ξ + x₀, 1 − x₀], where x₀ 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.

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Research Organization:: Temple Univ., Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; SC0023646

OSTI ID:: 2998129

Journal Information:: Journal of High Energy Physics, Journal Name: Journal of High Energy Physics Journal Issue: 7 Vol. 2025; ISSN 1029-8479

Publisher:: Springer Science and Business Media LLCCopyright Statement

Country of Publication:: United States

Language:: English

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