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Title: Pion valence quark distribution from current-current correlation in lattice QCD

Abstract

We extract the pion valence quark distribution $$q^\pi_{\rm v}(x)$$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization, using a new short-distance matching coefficient calculated to one-loop accuracy. We derive the Ioffe time distribution of the two-current correlations in the physical limit by investigating the finite lattice spacing, volume, quark mass, and higher-twist dependencies in a simultaneous fit of matrix elements computed on four gauge ensembles. We find remarkable consistency between our extracted $$q^\pi_{\rm v}(x)$$ and that obtained from experimental data across the entire $x$-range. Further, we demonstrate that the one-loop matching coefficient relating the LQCD matrix computed in position space to the $$q_{\rm v}^{\pi}(x)$$ in momentum space has well-controlled behavior with Ioffe time. This justifies that LQCD calculated current-current correlations are good observables for extracting partonic structures by using QCD factorization, which complements to the global effort to extract partonic structure from experimental data.

Authors:
ORCiD logo; ; ; ORCiD logo; ; ; ; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS)
OSTI Identifier:
1661705
Alternate Identifier(s):
OSTI ID: 1666371
Report Number(s):
JLAB-THY-20-3131; DOE/OR/23177-4892; arXiv:2001.04960
Journal ID: ISSN 2470-0010; PRVDAQ; 054508
Grant/Contract Number:  
AC05-06OR23177; AC02-05CH11231; AC05-00OR22725; FG02-04ER41302; 11875071; 11975029; ST/P000681/1; PHY-1626177; ACI-1548562
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Lattice field theory; nonperturbative effects in field theory; particle interactions; perturbation theory; strong interaction

Citation Formats

Sufian, Raza Sabbir, Egerer, Colin, Karpie, Joseph, Edwards, Robert G., Joó, Bálint, Ma, Yan-Qing, Orginos, Kostas, Qiu, Jian-Wei, and Richards, David G. Pion valence quark distribution from current-current correlation in lattice QCD. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.102.054508.
Sufian, Raza Sabbir, Egerer, Colin, Karpie, Joseph, Edwards, Robert G., Joó, Bálint, Ma, Yan-Qing, Orginos, Kostas, Qiu, Jian-Wei, & Richards, David G. Pion valence quark distribution from current-current correlation in lattice QCD. United States. doi:10.1103/PhysRevD.102.054508.
Sufian, Raza Sabbir, Egerer, Colin, Karpie, Joseph, Edwards, Robert G., Joó, Bálint, Ma, Yan-Qing, Orginos, Kostas, Qiu, Jian-Wei, and Richards, David G. Tue . "Pion valence quark distribution from current-current correlation in lattice QCD". United States. doi:10.1103/PhysRevD.102.054508.
@article{osti_1661705,
title = {Pion valence quark distribution from current-current correlation in lattice QCD},
author = {Sufian, Raza Sabbir and Egerer, Colin and Karpie, Joseph and Edwards, Robert G. and Joó, Bálint and Ma, Yan-Qing and Orginos, Kostas and Qiu, Jian-Wei and Richards, David G.},
abstractNote = {We extract the pion valence quark distribution $q^\pi_{\rm v}(x)$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization, using a new short-distance matching coefficient calculated to one-loop accuracy. We derive the Ioffe time distribution of the two-current correlations in the physical limit by investigating the finite lattice spacing, volume, quark mass, and higher-twist dependencies in a simultaneous fit of matrix elements computed on four gauge ensembles. We find remarkable consistency between our extracted $q^\pi_{\rm v}(x)$ and that obtained from experimental data across the entire $x$-range. Further, we demonstrate that the one-loop matching coefficient relating the LQCD matrix computed in position space to the $q_{\rm v}^{\pi}(x)$ in momentum space has well-controlled behavior with Ioffe time. This justifies that LQCD calculated current-current correlations are good observables for extracting partonic structures by using QCD factorization, which complements to the global effort to extract partonic structure from experimental data.},
doi = {10.1103/PhysRevD.102.054508},
journal = {Physical Review D},
number = 5,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1103/PhysRevD.102.054508

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