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

Abstract

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 regularizationindependent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and 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 lightcone PDF are in reasonable agreement with the latest phenomenological analysi

Authors:
; ; ; ; ; ; ; ; ORCiD logo; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1600062
Alternate Identifier(s):
OSTI ID: 1606187
Report Number(s):
BNL-213749-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 034020
Grant/Contract Number:  
EC0012704; SC0011090; SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

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, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong, and Lattice Parton Collaboration. Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.034020.
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, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong, & Lattice Parton Collaboration. Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching. United States. doi:10.1103/PhysRevD.101.034020.
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, Zhang, Qi-An, Zhang, Kuan, Zhao, Yong, and Lattice Parton Collaboration. Tue . "Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching". United States. doi:10.1103/PhysRevD.101.034020.
@article{osti_1600062,
title = {Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching},
author = {Liu, Yu-Sheng and Chen, Jiunn-Wei and Huo, Yi-Kai and Jin, Luchang and Schlemmer, Maximilian and Schäfer, 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 and Lattice Parton Collaboration},
abstractNote = {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 regularizationindependent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and 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 lightcone PDF are in reasonable agreement with the latest phenomenological analysi},
doi = {10.1103/PhysRevD.101.034020},
journal = {Physical Review D},
number = 3,
volume = 101,
place = {United States},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.101.034020

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Cited by: 1 work
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