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Title: Parton distribution functions from Ioffe time pseudo-distributions

Abstract

In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two volumes, with lattice spacings $a$ = 0.127 fm and $a$ = 0.094 fm, for a pion mass of roughly 400 MeV. With two lattice spacings and two volumes, both continuum limit and infinite volume extrapolation systematic errors of the PDF are considered. In addition to the $x$ dependence of the PDF, we compute their first two moments and compare them with the pertinent phenomenological determinations.

Authors:
 [1];  [2];  [3];  [4];  [1];  [5]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Columbia Univ., New York, NY (United States)
  3. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  5. Heidelberg Univ. (Germany); Aix Marseille Univ. (France); Univ. de Toulon (France); ; Centre National de la Recherche Scientifique (CNRS), Marseille (France). Centre de Physique Théorique (CPT)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); Science and Technology Facilities Council (STFC); DFG Collaborative Research Centre; USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS); National Science Foundation (NSF); Commonwealth of Virginia Equipment Trust Fund; US Department of the Navy, Office of Naval Research (ONR)
OSTI Identifier:
1608406
Report Number(s):
JLAB-THY-19-3024; DOE/OR/23177-4843; arXiv:1908.09771
Journal ID: ISSN 1029-8479
Grant/Contract Number:  
AC05-06OR23177; FG02-04ER41302; ST/P000681/1; FG02-97ER41028; PHY-1626177; AC02-05CH11231; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Lattice Quantum Field Theory

Citation Formats

Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly, Richards, David, and Zafeiropoulos, Savvas. Parton distribution functions from Ioffe time pseudo-distributions. United States: N. p., 2019. Web. https://doi.org/10.1007/JHEP12(2019)081.
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly, Richards, David, & Zafeiropoulos, Savvas. Parton distribution functions from Ioffe time pseudo-distributions. United States. https://doi.org/10.1007/JHEP12(2019)081
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly, Richards, David, and Zafeiropoulos, Savvas. Tue . "Parton distribution functions from Ioffe time pseudo-distributions". United States. https://doi.org/10.1007/JHEP12(2019)081. https://www.osti.gov/servlets/purl/1608406.
@article{osti_1608406,
title = {Parton distribution functions from Ioffe time pseudo-distributions},
author = {Joó, Bálint and Karpie, Joseph and Orginos, Kostas and Radyushkin, Anatoly and Richards, David and Zafeiropoulos, Savvas},
abstractNote = {In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two volumes, with lattice spacings $a$ = 0.127 fm and $a$ = 0.094 fm, for a pion mass of roughly 400 MeV. With two lattice spacings and two volumes, both continuum limit and infinite volume extrapolation systematic errors of the PDF are considered. In addition to the $x$ dependence of the PDF, we compute their first two moments and compare them with the pertinent phenomenological determinations.},
doi = {10.1007/JHEP12(2019)081},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2019,
place = {United States},
year = {2019},
month = {12}
}

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