We present the one-loop matching condition for the unpolarized and polarized generalized quark distributions in the non-singlet case. The matching condition links the quasi distributions defined in terms of spacelike correlators at finite nucleon momentum to the light-cone distributions, and is useful for extracting the latter from the former in a lattice QCD calculation. Our results show that at one-loop and leading power accuracy the matching for the light-cone generalized quark distribution H (H~) is non-trivial, whereas no matching is required for E (E~). Therefore, E (E~) can be smoothly approached by its quasi counterpart in the large momentum limit. We also present the matching for the distribution amplitude of the pion.
@article{arxiv.1506.00248,
title = {One-Loop Matching for Generalized Parton Distributions},
author = {Xiangdong Ji and Andreas Schäfer and Xiaonu Xiong and Jian-Hui Zhang},
journal= {arXiv preprint arXiv:1506.00248},
year = {2015}
}