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

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Author(s)
Liu, Yu-Sheng
•
Chen, Jiunn-Wei
•
Huo, Yi-Kai
•
Jin, Luchang
•
Schlemmer, Maximilian
•
Schäfer, Andreas
•
Sun, Peng
•
Wang, Wei
•
Yang, Yi-Bo
•
Zhang, Jian-Hui
more
Date Issued
February 18, 2020
Journal
Physical Review D
Publisher
American Physical Society
Citation
Liu, Yu-Sheng, Chen, Jiunn-Wei, Huo, Yi-Kai, Jin, Luchang, Schlemmer, Maximilian et al. 2020. "Unpolarized isovector quark distribution function from lattice QCD: a systematic analysis of renormalization and matching." Physical Review D, 101.
Version
Final published version
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[subscript p]=356  MeV and P[subscript z]∈{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 [line over MS] 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. ©2020
Description
Lattice Parton Collaboration (Liu, Yu-Sheng, et al.), "Unpolarized isovector quark distribution function from lattice QCD: a systematic analysis of renormalization and matching." Physical Review D 101 (Feb. 2020): no. 034020 doi 10.1103/PhysRevD.101.034020 ©2020 Author(s)
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution 3.0 unported license
http://creativecommons.org/licenses/by/3.0
Persistent DSpace Link
https://hdl.handle.net/1721.1/125037
DOI of Published Version
https://doi.org/10.1103/PhysRevD.101.034020
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