  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.
