Transversity PDFs of the proton from lattice QCD with physical quark masses
Xiang Gao (Physics Division, Argonne National Laboratory, Lemont, Illinois 60439, USA); Andrew D. Hanlon (Physics Department, Brookhaven National Laboratory, Bldg. 510A, Upton, New York 11973, USA); Swagato Mukherjee (Physics Department, Brookhaven National Laboratory, Bldg. 510A, Upton, New York 11973, USA); Peter Petreczky (Physics Department, Brookhaven National Laboratory, Bldg. 510A, Upton, New York 11973, USA); Qi Shi (Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China, Physics Department, Brookhaven National Laboratory, Bldg. 510A, Upton, New York 11973, USA); et al - Show all 7 authors
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 highly improved staggered quarks simulated with physical-mass quarks and a lattice spacing of . 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- logarithms.
