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.
- 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:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 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. https://doi.org/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. https://doi.org/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 = {Tue Sep 15 00:00:00 EDT 2020},
month = {Tue Sep 15 00:00:00 EDT 2020}
}
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https://doi.org/10.1103/PhysRevD.102.054508
https://doi.org/10.1103/PhysRevD.102.054508
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FIG. 1: A comparison between K(0)(ω)/ω and K(1)(ω)/ω for αs(μ = 2 GeV) = 0.303 and −ξ2μ2 = 1. The uncertainty in K(1)(ω)/ω is obtained by a 10% variation in αs.
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