First direct lattice-QCD calculation of the x-dependence of the pion parton distribution function

Zhang, Jian-Hui and Chen, Jiunn-Wei and Jin, Luchang and Lin, Huey-Wen and Schaefer, Andreas and Zhao, Yong (2019) First direct lattice-QCD calculation of the x-dependence of the pion parton distribution function. PHYSICAL REVIEW D, 100 (3): 034505. ISSN 2470-0010, 2470-0029

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Abstract

We present the first direct lattice-QCD calculation of the Bjorken-x dependence of the valence quark distribution of the pion. Using large-momentum effective theory (LaMET), we calculate the boosted pion state with long Wilson link operators. After implementing the one-loop matching and meson mass corrections, our result at m(pi) approximate to 310 MeV is in agreement with those extracted from experimental data as well as from the Dyson-Schwinger equation in the small-x region, but there is a sizeable discrepancy in the large-x region. This discrepancy provides a nice opportunity to systematically study and disentangle the artifacts in the LaMET approach, which will eventually help to discern various existing analyses in the literature.

Item Type: Article
Uncontrolled Keywords: ANGULAR-DISTRIBUTIONS; QUARK; NUCLEON; MODEL;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Apr 2020 05:48
Last Modified: 07 Apr 2020 05:48
URI: https://pred.uni-regensburg.de/id/eprint/26443

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