One-loop matching for transversity generalized parton distribution

TL;DR

This paper derives the one-loop matching condition for transversity generalized quark distributions, enabling lattice QCD calculations to connect quasiparton distributions with light cone distributions for transversity.

Contribution

It provides the first explicit one-loop perturbative matching formula for transversity generalized parton distributions in the nonsinglet case.

Findings

Derived the one-loop matching condition for transversity GPDs

Facilitates lattice QCD computations of transversity distributions

Bridges quasiparton and light cone distributions through perturbative factorization

Abstract

Recent developments showed that light cone parton distributions can be studied by investigating the large momentum limit of the so-called quasiparton distributions, which are defined in terms of spacelike correlators, and therefore can be readily computed on the lattice. These two distributions can be connected to each other by a perturbative factorization formula or matching condition that allows one to convert the latter into the former. Here we present the one-loop matching condition for the transversity generalized quark distribution in the nonsinglet case