Pion valence quark distribution from matrix element calculated in lattice QCD
Abstract
We present the first exploratory lattice QCD calculation of the pion valence quark distribution extracted from spatially separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and axial-vector currents provides direct information on the pion valence quark distribution. Using the collinear factorization approach, we calculate the perturbative tree-level kernel for this current combination and extract the pion valence distribution. The main goal of this article is to demonstrate the efficacy of this general lattice QCD approach in the reliable extraction of parton distributions. With controllable power corrections and a good understanding of the lattice systematics, this method has the potential to serve as a complementary to the many efforts to extract parton distributions in global analyses from experimentally measured cross sections. We perform our calculation on an ensemble of 2+1 flavor QCD using the isotropic-clover fermion action, with lattice dimensions 323 × 96 at a lattice spacing a = 0.127 fm and the quark mass equivalent to a pion mass mπ ≃ 416 MeV.
- Authors:
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1506743
- Alternate Identifier(s):
- OSTI ID: 1506967
- Report Number(s):
- JLAB-THY-19-2847; DOE/OR/23177-4624; arXiv:1901.03921
Journal ID: ISSN 2470-0010; PRVDAQ; 074507
- Grant/Contract Number:
- AC05-06OR23177; AC05-00OR22725; FG02-04ER41302; ST/P000681/1
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Sufian, Raza Sabbir, Karpie, Joseph, Egerer, Colin, Orginos, Kostas, Qiu, Jian-Wei, and Richards, David G. Pion valence quark distribution from matrix element calculated in lattice QCD. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.074507.
Sufian, Raza Sabbir, Karpie, Joseph, Egerer, Colin, Orginos, Kostas, Qiu, Jian-Wei, & Richards, David G. Pion valence quark distribution from matrix element calculated in lattice QCD. United States. https://doi.org/10.1103/PhysRevD.99.074507
Sufian, Raza Sabbir, Karpie, Joseph, Egerer, Colin, Orginos, Kostas, Qiu, Jian-Wei, and Richards, David G. Fri .
"Pion valence quark distribution from matrix element calculated in lattice QCD". United States. https://doi.org/10.1103/PhysRevD.99.074507.
@article{osti_1506743,
title = {Pion valence quark distribution from matrix element calculated in lattice QCD},
author = {Sufian, Raza Sabbir and Karpie, Joseph and Egerer, Colin and Orginos, Kostas and Qiu, Jian-Wei and Richards, David G.},
abstractNote = {We present the first exploratory lattice QCD calculation of the pion valence quark distribution extracted from spatially separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and axial-vector currents provides direct information on the pion valence quark distribution. Using the collinear factorization approach, we calculate the perturbative tree-level kernel for this current combination and extract the pion valence distribution. The main goal of this article is to demonstrate the efficacy of this general lattice QCD approach in the reliable extraction of parton distributions. With controllable power corrections and a good understanding of the lattice systematics, this method has the potential to serve as a complementary to the many efforts to extract parton distributions in global analyses from experimentally measured cross sections. We perform our calculation on an ensemble of 2+1 flavor QCD using the isotropic-clover fermion action, with lattice dimensions 323 × 96 at a lattice spacing a = 0.127 fm and the quark mass equivalent to a pion mass mπ ≃ 416 MeV.},
doi = {10.1103/PhysRevD.99.074507},
journal = {Physical Review D},
number = 7,
volume = 99,
place = {United States},
year = {Fri Apr 12 00:00:00 EDT 2019},
month = {Fri Apr 12 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevD.99.074507
https://doi.org/10.1103/PhysRevD.99.074507
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Cited by: 97 works
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Figures / Tables:
FIG. 1: The lowest order Feynman diagrams contributing to the σμνij in Eq. (10) on an asymptotic on-shell quark state of momentum k.
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