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Title: 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 32 3 × 96 at a lattice spacing a = 0.127 fm and the quark mass equivalent to a pion mass m π ≃ 416 MeV.

Authors:
 [1];  [2];  [2];  [3];  [1];  [1]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. College of William and Mary, Williamsburg, VA (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
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
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 Volume: 99; Journal Issue: 7; 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

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. doi: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. doi: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 = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.074507

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