skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Pion valence structure from Ioffe-time parton pseudodistribution functions

Abstract

We present a calculation of the pion valence quark distribution extracted using the formalism of reduced Ioffe-time pseudodistributions or more commonly known as pseudo-PDFs. Our calculation is carried out on two different 2 $+$ 1 flavor QCD ensembles using the isotropic-clover fermion action, with lattice dimensions 24 3 $×$ 64 and 32 3 $×$ 96 at the lattice spacing of $a$=0.127 fm, and with the quark mass equivalent to a pion mass of $$m_π≃$$415 MeV. We incorporate several combinations of smeared-point and smeared-smeared pion source-sink interpolation fields in obtaining the lattice QCD matrix elements using the summation method. After one-loop perturbative matching and combining the pseudodistributions from these two ensembles, we extract the pion valence quark distribution using a phenomenological functional form motivated by the global fits of parton distribution functions. We also calculate the lowest four moments of the pion quark distribution through the “operator product expansion without operator product expansion.” We present a qualitative comparison between our lattice QCD extraction of the pion valence quark distribution with that obtained from global fits and previous lattice QCD calculations.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [1]; ORCiD logo [1];  [5]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. College of William and Mary, Williamsburg, VA (United States); Columbia Univ., New York, NY (United States)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
  4. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
  5. Heidelberg Univ. (Germany). Inst. for Theoretical Physics; Aix-Marseille Univ., Marseille (France); Univ. de Toulon, Marseille (France)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)
Contributing Org.:
TMD Collaboration; USQCD Collaboration; Southeastern Universities Research Association (SURA)
OSTI Identifier:
1579785
Alternate Identifier(s):
OSTI ID: 1581133
Report Number(s):
JLAB-THY-19-3038; DOE/OR/23177-4784
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC05-06OR23177; AC02-05CH11231; AC05-00OR22725; FG02-04ER41302; FG02-97ER41028; ACI-1548562; PHY-1626177; ST/P000681/1
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 11; 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

Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., Sufian, Raza Sabbir, and Zafeiropoulos, Savvas. Pion valence structure from Ioffe-time parton pseudodistribution functions. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.114512.
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., Sufian, Raza Sabbir, & Zafeiropoulos, Savvas. Pion valence structure from Ioffe-time parton pseudodistribution functions. United States. doi:10.1103/PhysRevD.100.114512.
Joó, Bálint, Karpie, Joseph, Orginos, Kostas, Radyushkin, Anatoly V., Richards, David G., Sufian, Raza Sabbir, and Zafeiropoulos, Savvas. Wed . "Pion valence structure from Ioffe-time parton pseudodistribution functions". United States. doi:10.1103/PhysRevD.100.114512.
@article{osti_1579785,
title = {Pion valence structure from Ioffe-time parton pseudodistribution functions},
author = {Joó, Bálint and Karpie, Joseph and Orginos, Kostas and Radyushkin, Anatoly V. and Richards, David G. and Sufian, Raza Sabbir and Zafeiropoulos, Savvas},
abstractNote = {We present a calculation of the pion valence quark distribution extracted using the formalism of reduced Ioffe-time pseudodistributions or more commonly known as pseudo-PDFs. Our calculation is carried out on two different 2 $+$ 1 flavor QCD ensembles using the isotropic-clover fermion action, with lattice dimensions 243 $×$ 64 and 323 $×$ 96 at the lattice spacing of $a$=0.127 fm, and with the quark mass equivalent to a pion mass of $m_π≃$415 MeV. We incorporate several combinations of smeared-point and smeared-smeared pion source-sink interpolation fields in obtaining the lattice QCD matrix elements using the summation method. After one-loop perturbative matching and combining the pseudodistributions from these two ensembles, we extract the pion valence quark distribution using a phenomenological functional form motivated by the global fits of parton distribution functions. We also calculate the lowest four moments of the pion quark distribution through the “operator product expansion without operator product expansion.” We present a qualitative comparison between our lattice QCD extraction of the pion valence quark distribution with that obtained from global fits and previous lattice QCD calculations.},
doi = {10.1103/PhysRevD.100.114512},
journal = {Physical Review D},
number = 11,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.114512

Save / Share:

Works referenced in this record:

Pion Form Factor
journal, July 1979


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


Improved parton distribution functions at the physical pion mass
journal, September 2018


Pionic parton distributions
journal, December 1992

  • Glück, M.; Reya, E.; Vogt, A.
  • Zeitschrift für Physik C Particles and Fields, Vol. 53, Issue 4
  • DOI: 10.1007/BF01559743

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


New parton distribution functions from a global analysis of quantum chromodynamics
journal, February 2016


First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis
journal, September 2017


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


LHAPDF6: parton density access in the LHC precision era
journal, March 2015


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


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


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

Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
journal, August 2019

  • Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/JHEP08(2019)065

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


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


Pion structure function in the Nambu and Jona-Lasinio model
journal, July 1993


Erratum: Model-independent description of B π l ν decays and a determination of | V u b | [Phys. Rev. DPRVDAQ1550-7998 79 , 013008 (2009)]
journal, November 2010


Universality of Generalized Parton Distributions in Light-Front Holographic QCD
journal, May 2018


Perturbative renormalization of quasi-parton distribution functions
journal, September 2017


Erratum: Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass [Phys. Rev. D 92 , 114513 (2015)]
journal, February 2016


ROOT — An object oriented data analysis framework
journal, April 1997

  • Brun, Rene; Rademakers, Fons
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 389, Issue 1-2
  • DOI: 10.1016/S0168-9002(97)00048-X

Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments
journal, April 1992


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

Experimental study of muon pairs produced by 252-GeV pions on tungsten
journal, January 1989

  • Conway, J. S.; Adolphsen, C. E.; Alexander, J. P.
  • Physical Review D, Vol. 39, Issue 1
  • DOI: 10.1103/PhysRevD.39.92

High-precision scale setting in lattice QCD
journal, September 2012

  • Borsányi, Szabolcs; Dürr, Stephan; Fodor, Zoltán
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)010

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


Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
journal, May 2019


Parton Physics on a Euclidean Lattice
journal, June 2013


Extracting parton distribution functions from lattice QCD calculations
journal, October 2018


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


Q 2 -dependent parametrizations of pion parton distribution functions
journal, September 1984


π and ρ structure functions from lattice QCD
journal, September 1997


Constraints on Form Factors for Exclusive Semileptonic Heavy to Light Meson Decays
journal, June 1995


Parton distribution functions, α s , and heavy-quark masses for LHC Run II
journal, July 2017


QCD constraints on the shape of polarized quark and gluon distributions
journal, May 1995


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


Experimental determination of the π meson structure functions by the Drell-Yan mechanism
journal, December 1983

  • Badier, J.; Boucrot, J.; Bourotte, J.
  • Zeitschrift für Physik C Particles and Fields, Vol. 18, Issue 4
  • DOI: 10.1007/BF01573728

Pion and kaon structure at the electron-ion collider
journal, October 2019

  • Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine
  • The European Physical Journal A, Vol. 55, Issue 10
  • DOI: 10.1140/epja/i2019-12885-0

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

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


Parton distributions in the LHC era: MMHT 2014 PDFs
journal, May 2015


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


Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
journal, December 2010


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

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


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

Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994


A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics
journal, May 2018


The gluon content of the pion from high-pt photon production
journal, December 1989


Structure functions of pseudoscalar mesons in the SU(3) NJL model
journal, March 1995


Gauge fields as rings of glue
journal, January 1980


Pion parton distribution function in the valence region
journal, December 2005


Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
journal, December 2015


First Monte Carlo Global QCD Analysis of Pion Parton Distributions
journal, October 2018


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


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


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


Quark Structure Functions of Mesons and the Drell-Yan Process
journal, April 1979


Quark pseudodistributions at short distances
journal, June 2018


First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function
journal, August 2019


x and x 2 of the pion PDF from lattice QCD with N f = 2 + 1 + 1 dynamical quark flavors
journal, January 2019


A lattice study of the glue in the nucleon
journal, August 2012


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


Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018


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


Asymptotic freedom in parton language
journal, August 1977


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

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


Valence-quark distribution functions in the kaon and pion
journal, April 2016


Valence-quark distributions in the pion
journal, January 2001


Model-independent description of B π l ν decays and a determination of | V u b |
journal, January 2009


Hadronic weak interactions of light quarks
journal, March 1999


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


Renormalization in Large Momentum Effective Theory of Parton Physics
journal, March 2018


Finite-volume effects due to spatially nonlocal operators
journal, July 2018


Power corrections and renormalons in parton quasidistributions
journal, January 2019


Parton distribution functions with twisted mass fermions
journal, August 2006


Differential cross-section of high-mass muon pairs produced by a 194 GeV/c π− beam on a tungsten target
journal, March 1985

  • Betev, B.; Blaising, J. J.; Bordalo, P.
  • Zeitschrift für Physik C Particles and Fields, Vol. 28, Issue 1
  • DOI: 10.1007/BF01550243

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