Transversity PDFs of the proton from lattice QCD with physical quark masses

Gao, Xiang; Hanlon, Andrew D.; Mukherjee, Swagato; Petreczky, Peter; Shi, Qi; Syritsyn, Sergey; Zhao, Yong

doi:10.1103/physrevd.109.054506

Title: Transversity PDFs of the proton from lattice QCD with physical quark masses

Journal Article · 19 March 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.054506 · OSTI ID:2325433

Gao, Xiang ^[1];

^[2];

^[2]; Petreczky, Peter ^[2]; Shi, Qi ^[3]; Syritsyn, Sergey ^[4];

^[1]

Argonne National Laboratory (ANL), Argonne, IL (United States)
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Brookhaven National Laboratory (BNL), Upton, NY (United States); Central China Normal University, Wuhan (China)
Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center; Stony Brook Univ., NY (United States)

We present a lattice QCD calculation of the transversity isovector- and isoscalar-quark parton distribution functions (PDFs) of the proton utilizing a perturbative matching at next-to-leading-order (NLO) accuracy. Additionally, we determine the isovector and isoscalar tensor charges for the proton. In both calculations, the disconnected contributions to the isoscalar matrix elements have been ignored. The calculations are performed using a single ensemble of N_f = 2 + 1 highly improved staggered quarks simulated with physical-mass quarks and a lattice spacing of a = 0.076 fm. The Wilson-clover action, with physical quark masses and smeared gauge links obtained from one iteration of hypercubic smearing, is used in the valence sector. Using the NLO operator product expansion, we extract the lowest four to six Mellin moments and the PDFs via a neural network from the matrix elements in the pseudo-PDF approach. In addition, we calculate the PDFs in the quasi-PDF approach with hybrid-scheme renormalization and the recently developed leading-renormalon resummation technique, at NLO with the resummation of leading small-x logarithms.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); National Science Foundation (NSF)

Grant/Contract Number:: SC0012704; AC02-06CH11357; PHY-1847893; AC05-00OR22725; 2138259; 2138286; 2138307; 2137603; 2138296

OSTI ID:: 2325433

Alternate ID(s):: OSTI ID: 2331238; OSTI ID: 2530115

Report Number(s):: BNL-225412-2024-JAAM; TRN: US2410155

Journal Information:: Physical Review. D., Vol. 109, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Flavor nonsinglet parton distribution functions from lattice QCD at physical quark masses via the pseudodistribution approach Bhat, Manjunath; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevD.103.034510	journal	February 2021

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