Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching

Liu, Yu-Sheng and Chen, Jiunn-Wei and Huo, Yi-Kai and Jin, Luchang and Schlemmer, Maximilian and Schaefer, Andreas and Sun, Peng and Wang, Wei and Yang, Yi-Bo and Zhang, Jian-Hui and Zhang, Qi-An and Zhang, Kuan and Zhao, Yong (2020) Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching. PHYSICAL REVIEW D, 101 (3): 034020. ISSN 2470-0010, 2470-0029

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Abstract

We present a detailed lattice QCD study of the unpolarized isovector quark parton distribution function (PDF) using a 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 M-pi = 356 MeV and P-z is an element of {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 (MS) over bar 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 light-cone PDF are in reasonable agreement with the latest phenomenological analysis.

Item Type: Article
Uncontrolled Keywords: NONPERTURBATIVE RENORMALIZATION; DISTRIBUTION AMPLITUDE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Mar 2021 08:25
Last Modified: 30 Mar 2021 08:25
URI: https://pred.uni-regensburg.de/id/eprint/45101

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