DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point

Abstract

We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudodistributions. Beyond the reconstruction of the Bjorken-x dependence, we also extract the lowest moments of the distribution function using the small Ioffe time expansion of the Ioffe time pseudodistribution. We compare our findings with the pertinent phenomenological determinations.

Authors:
ORCiD logo; ORCiD logo; ; ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS); National Science Foundation (NSF)
OSTI Identifier:
1759087
Alternate Identifier(s):
OSTI ID: 1763914; OSTI ID: 1817565
Report Number(s):
JLAB-THY-20-3161; DOE/OR/23177-4940; arXiv:2004.01687
Journal ID: ISSN 0031-9007; 232003
Grant/Contract Number:  
FG02-04ER41302; AC05-00OR22725; FG02-97ER41028; AC02-05CH11231; AC05-06OR23177; SC0011941; PHY-1626177; ACI-1548562
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 125 Journal Issue: 23; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice field theory; quantum chromodynamics

Citation Formats

Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., and Zafeiropoulos, Savvas. Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point. United States: N. p., 2020. Web. doi:10.1103/physrevlett.125.232003.
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., & Zafeiropoulos, Savvas. Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point. United States. https://doi.org/10.1103/physrevlett.125.232003
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., and Zafeiropoulos, Savvas. Tue . "Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point". United States. https://doi.org/10.1103/physrevlett.125.232003.
@article{osti_1759087,
title = {Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point},
author = {Joó, Bálint and Karpie, Joseph and Orginos, Kostas and Radyushkin, Anatoly V. and Richards, David G. and Zafeiropoulos, Savvas},
abstractNote = {We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudodistributions. Beyond the reconstruction of the Bjorken-x dependence, we also extract the lowest moments of the distribution function using the small Ioffe time expansion of the Ioffe time pseudodistribution. We compare our findings with the pertinent phenomenological determinations.},
doi = {10.1103/physrevlett.125.232003},
journal = {Physical Review Letters},
number = 23,
volume = 125,
place = {United States},
year = {2020},
month = {12}
}

Works referenced in this record:

Exclusive processes in position space and the pion distribution amplitude
journal, May 2008


JURECA: Modular supercomputer at Jülich Supercomputing Centre
journal, January 2018

  • Krause, Dorian; Thörnig, Philipp
  • Journal of large-scale research facilities JLSRF, Vol. 4
  • DOI: 10.17815/jlsrf-4-121-1

Parton distribution functions on the lattice and in the continuum
journal, January 2018


Parton distributions and lattice QCD calculations: A community white paper
journal, May 2018

  • Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred
  • Progress in Particle and Nuclear Physics, Vol. 100
  • DOI: 10.1016/j.ppnp.2018.01.007

Novel quark smearing for hadrons with high momenta in lattice QCD
journal, May 2016


Constraints on large- x parton distributions from new weak boson production and deep-inelastic scattering data
journal, June 2016


Moments of Ioffe time parton distribution functions from non-local matrix elements
journal, November 2018

  • Karpie, Joseph; Orginos, Kostas; Zafeiropoulos, Savvas
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)178

Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018


Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
journal, January 2018


Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010


Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018


Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
journal, April 2020


Smeared quasidistributions in perturbation theory
journal, March 2018


Parton distribution functions from Ioffe time pseudo-distributions
journal, December 2019

  • Joó, Bálint; Karpie, Joseph; Orginos, Kostas
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/JHEP12(2019)081

Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering
journal, June 1995


XSEDE: Accelerating Scientific Discovery
journal, September 2014

  • Towns, John; Cockerill, Timothy; Dahan, Maytal
  • Computing in Science & Engineering, Vol. 16, Issue 5
  • DOI: 10.1109/MCSE.2014.80

Parton distributions from high-precision collider data: NNPDF Collaboration
journal, October 2017


Parton Physics on a Euclidean Lattice
journal, June 2013


Nucleon Structure Functions from Operator Product Expansion on the Lattice
journal, June 2017


Gluon Quasi-Parton-Distribution Functions from Lattice QCD
journal, December 2018


Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks
journal, April 2019

  • Karpie, Joseph; Orginos, Kostas; Rothkopf, Alexander
  • Journal of High Energy Physics, Vol. 2019, Issue 4
  • DOI: 10.1007/JHEP04(2019)057

Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018


Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
journal, December 2018


Pion distribution amplitude from lattice QCD
journal, May 2017


Transversity parton distribution functions from lattice QCD
journal, November 2018

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 98, Issue 9
  • DOI: 10.1103/PhysRevD.98.091503

Valence parton distribution function of pion from fine lattice
journal, August 2019


Light-cone distribution amplitudes of octet baryons from lattice QCD
journal, July 2019

  • Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
  • The European Physical Journal A, Vol. 55, Issue 7
  • DOI: 10.1140/epja/i2019-12803-6

One-loop evolution of parton pseudo-distribution functions on the lattice
journal, July 2018


Gauge-invariant smearing and matrix correlators using Wilson fermions at β = 6.2
journal, June 1993


Parton distributions from lattice data: the nonsinglet case
journal, October 2019

  • Cichy, Krzysztof; Del Debbio, Luigi; Giani, Tommaso
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/JHEP10(2019)137

A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results
journal, June 2019

  • Cichy, Krzysztof; Constantinou, Martha
  • Advances in High Energy Physics, Vol. 2019
  • DOI: 10.1155/2019/3036904

Lattice calculation of parton distributions
journal, July 2015


Pion distribution amplitude from Euclidean correlation functions
journal, March 2018


Theory and applications of parton pseudodistributions
journal, February 2020


Partonic quasidistributions of the proton and pion from transverse-momentum distributions
journal, February 2018


Deep-inelastic scattering and the operator product expansion in lattice QCD
journal, January 2006


Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
journal, November 2018


Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017


The structure of the proton in the LHC precision era
journal, May 2018


Towards the nucleon hadronic tensor from lattice QCD
journal, June 2020


Parton distributions for the LHC
journal, July 2009


On the Feynman-Hellmann theorem in quantum field theory and the calculation of matrix elements
journal, July 2017


A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017


Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
journal, June 2019

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 99, Issue 11
  • DOI: 10.1103/PhysRevD.99.114504

Asymptotic freedom in parton language
journal, August 1977


Parton distribution functions of Δ + on the lattice
journal, July 2020


Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
journal, August 2017


Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018


Quasi parton distributions and the gradient flow
journal, March 2017

  • Monahan, Christopher; Orginos, Kostas
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)116

Parton distribution functions from reduced Ioffe-time distributions
journal, April 2018


Flavor structure of the nucleon sea from lattice QCD
journal, March 2015


Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016


Isovector charges of the nucleon from 2 + 1 -flavor QCD with clover fermions
journal, April 2017


Pion valence structure from Ioffe-time parton pseudodistribution functions
journal, December 2019


Updated lattice results for parton distributions
journal, July 2017

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 96, Issue 1
  • DOI: 10.1103/PhysRevD.96.014513

Pion valence quark distribution from matrix element calculated in lattice QCD
journal, April 2019


The Chroma Software System for Lattice QCD
journal, March 2005