We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-x dependence of a momentum-dependent quasi-distribution is calculated on the lattice and matched to the ordinary lightcone parton distribution at one-loop order, with power corrections included. The important step of RI/MOM renormalization that connects the lattice and continuum matrix elements is detailed in this paper. A few consequences of the results are also addressed here.
@article{arxiv.1706.01295,
title = {Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD},
author = {Jiunn-Wei Chen and Tomomi Ishikawa and Luchang Jin and Huey-Wen Lin and Yi-Bo Yang and Jian-Hui Zhang and Yong Zhao},
journal= {arXiv preprint arXiv:1706.01295},
year = {2018}
}
Comments
11 pages, 6 figures, version accepted by Phys. Rev. D