We present results for the gg-part of the one-loop corrections to the recently introduced "topological charge" GPD F(x,q2). In particular, we give expression for its evolution kernel. To enforce strict compliance with the gauge invariance requirements, we have used on-shell states for external gluons, and have obtained identical results both in Feynman and light-cone gauges. No "zero mode" δ(x) terms were found for the twist-4 gluon GPD F(x,q2).
@article{arxiv.2201.02181,
title = {Parton distribution function for topological charge at one loop},
author = {Anatoly Radyushkin and Shuai Zhao},
journal= {arXiv preprint arXiv:2201.02181},
year = {2022}
}