Lattice QCD calculation of 𝑥-dependent meson distribution amplitudes at physical pion mass with threshold logarithm resummation

Cloët, Ian; Gao, Xiang; Mukherjee, Swagato; Syritsyn, Sergey; Karthik, Nikhil; Petreczky, Peter; Zhang, Rui; Zhao, Yong

doi:10.1103/PhysRevD.110.114502

Title: Lattice QCD calculation of 𝑥-dependent meson distribution amplitudes at physical pion mass with threshold logarithm resummation

Journal Article · 09 December 2024 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.110.114502 · OSTI ID:2998028

^[1]; Gao, Xiang ^[1];

^[2];

^[2]; Karthik, Nikhil ^[3];

^[2];

^[1]; Zhao, Yong ^[1]

Argonne National Laboratory (ANL), Argonne, IL (United States)
Brookhaven National Laboratory (BNL), Upton, NY (United States)
American Physical Society, Hauppauge, NY (United States); Florida International University, Miami, FL (United States)

We present a lattice quantum chromodynamics (QCD) calculation of the 𝑥-dependent pion and kaon distribution amplitudes (DA) in the framework of large momentum effective theory. This calculation is performed on a fine lattice of 𝑎 = 0.076 fm at physical pion mass, with the pion boosted to 1.8 GeV and kaon boosted to 2.3 GeV. We renormalize the matrix elements in the hybrid scheme and match to Math output error with a subtraction of the leading renormalon in the Wilson-line mass. The perturbative matching is improved by resumming the large logarithms related to the small quark and gluon momenta in the soft-gluon limit. After resummation, we demonstrate that we are able to calculate a range of 𝑥 ∈[𝑥₀,1 − 𝑥₀] with 𝑥₀ = 0.25 for pion and 𝑥₀ = 0.2 for kaon with theoretical systematic errors under control. The kaon DA is shown to be slighted skewed, and narrower than pion DA. Although the 𝑥-dependence cannot be direct calculated beyond these ranges, we estimate higher moments of the pion and kaon DAs by complementing our calculation with short-distance factorization.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Temple University-Of The Commonwealth System Of Higher Education, Philadelphia, PA (United States)

Sponsoring Organization:: National Energy Research Scientific Computing Center (NERSC); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; AC02-06CH11357; AC05-00OR22725; SC0012704; SC0023646

OSTI ID:: 2998028

Report Number(s):: BNL--226434-2024-JAAM

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 11 Vol. 110; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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