• Open Access

Pion valence quark distribution from matrix element calculated in lattice QCD

Raza Sabbir Sufian, Joseph Karpie, Colin Egerer, Kostas Orginos, Jian-Wei Qiu, and David G. Richards
Phys. Rev. D 99, 074507 – Published 12 April 2019

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=0.127fm and the quark mass equivalent to a pion mass mπ416MeV.

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  • Received 24 January 2019

DOI:https://doi.org/10.1103/PhysRevD.99.074507

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Raza Sabbir Sufian1, Joseph Karpie2, Colin Egerer2, Kostas Orginos1,2, Jian-Wei Qiu1, and David G. Richards1

  • 1Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
  • 2Physics Department, College of William and Mary, Williamsburg, Virginia 23187, USA

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Issue

Vol. 99, Iss. 7 — 1 April 2019

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