We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing with other operators of the same dimension. In the lattice simulation, we use a Gaussian-momentum-smeared source at Mπ=356 MeV and Pz∈{1.8,2.3} GeV. To control the systematics associated with the excited states, we explore {five different source-sink separations}. The nonperturbative renormalization is conducted in a regularization-independent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and MSˉ PDF is calculated based on perturbative QCD up to one-loop order. Systematic errors due to renormalization and perturbative matching are also analyzed in detail. Our results for lightcone PDF are in reasonable agreement with the latest phenomenological analysis.
@article{arxiv.1807.06566,
title = {Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching},
author = {Yu-Sheng Liu and Jiunn-Wei Chen and Yi-Kai Huo and Luchang Jin and Maximilian Schlemmer and Andreas Schäfer and Peng Sun and Wei Wang and Yi-Bo Yang and Jian-Hui Zhang and Qi-An Zhang and Kuan Zhang and Yong Zhao},
journal= {arXiv preprint arXiv:1807.06566},
year = {2020}
}