QCD factorization for twist-three axial-vector parton quasidistributions

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.

Automated summary

The study derived a factorization expression for the transverse component of the axial-vector correlation function, accurate to one-loop. The results are presented in both position space as the factorization theorem for Ioffe-time distributions and in momentum space for the axial-vector quasi- and pseudodistributions.