Nucleon Transversity Distribution in the Continuum and Physical Mass Limit from Lattice QCD

TL;DR

This paper presents a comprehensive lattice QCD calculation of the proton's isovector transversity distribution, extrapolated to the continuum and physical mass limits, and compares it with global analysis results.

Contribution

It introduces a state-of-the-art lattice QCD approach for calculating the transversity distribution at physical parameters using large-momentum effective theory.

Findings

Non-perturbative renormalization in the hybrid scheme.

Results extrapolated to continuum and physical mass limits.

Comparison with global analysis shows consistency.

Abstract

We report a state-of-the-art lattice QCD calculation of the isovector quark transversity distribution of the proton in the continuum and physical mass limit using large-momentum effective theory. The calculation is done at four lattice spacings $a=\{0.098,0.085,0.064,0.049\}$~fm and various pion masses ranging between $220$ and $350$ MeV, with proton momenta up to $2.8$ GeV. The result is non-perturbatively renormalized in the hybrid scheme with self renormalization which treats the infrared physics at large correlation distance properly, and extrapolated to the continuum, physical mass and infinite momentum limit. We also compare with recent global analyses for the nucleon isovector quark transversity distribution.