In recent years, the quasi parton distribution has been introduced for extracting the parton distribution functions from lattice QCD simulations. The quasi and standard distribution share the same perturbative collinear singularity and the renormalized quasi distribution can be factorized into the standard distribution with a perturbative matching factor. The quasi parton distribution is known to have power-law UV divergences, which do not exist in the standard distribution. We discuss in this talk the nonperturbative renormalization scheme for the power divergence. We also demonstrate the perturbative matching of the quasi quark distribution between continuum and lattice at the one-loop.
@article{arxiv.1703.08699,
title = {Matching issue in quasi parton distribution approach},
author = {Tomomi Ishikawa and Yan-Qing Ma and Jian-Wei Qiu and Shinsuke Yoshida},
journal= {arXiv preprint arXiv:1703.08699},
year = {2017}
}
Comments
7 pages, 2 figures, talk presented at the 34th annual International Symposium on Lattice Field Theory (Lattice 2016), 24-30 July 2016, University of Southampton, UK