QCD factorization for twist-three axial-vector parton quasidistributions

TL;DR

This paper derives a one-loop factorization formula for twist-3 axial-vector parton distributions, facilitating lattice QCD calculations by connecting them to known collinear distributions in position and momentum space.

Contribution

It provides the first detailed derivation of factorization for twist-3 axial-vector distributions at one-loop accuracy, linking lattice observables to collinear PDFs.

Findings

Derived factorization in position space for Ioffe-time distributions.

Presented momentum space factorization for axial-vector quasi- and pseudodistributions.

Established a theoretical framework for lattice QCD calculations of twist-3 PDFs.

Abstract

The transverse component of the axial-vector correlation function of quark fields is a natural starting object for lattice calculations of twist-3 nucleon parton distribution functions. In this work we derive the corresponding factorization expression in terms of twist-2 and twist-3 collinear distributions to one-loop accuracy. The results are presented both in position space, as the factorization theorem for Ioffe-time distributions, and in momentum space, for the axial-vector quasi- and pseudodistributions.