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Title: Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Abstract

We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.

Authors:
ORCiD logo; ; ORCiD logo; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
OSTI Identifier:
1716541
Alternate Identifier(s):
OSTI ID: 1732155
Report Number(s):
BNL-220677-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 094513
Grant/Contract Number:  
SC0012704; 16-37; PHY-1847893; SC0010339; FG02-04ER41302; AC05-00OR22725
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevD.102.094513.
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, & Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit. United States. https://doi.org/10.1103/PhysRevD.102.094513
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Tue . "Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit". United States. https://doi.org/10.1103/PhysRevD.102.094513.
@article{osti_1716541,
title = {Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit},
author = {Gao, Xiang and Jin, Luchang and Kallidonis, Christos and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Shugert, Charles and Syritsyn, Sergey and Zhao, Yong},
abstractNote = {We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.},
doi = {10.1103/PhysRevD.102.094513},
journal = {Physical Review D},
number = 9,
volume = 102,
place = {United States},
year = {2020},
month = {11}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.102.094513

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