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

Title: Moments of Ioffe time parton distribution functions from non-local matrix elements

Abstract

Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.

Authors:
 [1]; ORCiD logo [1];  [2]
  1. The College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Heidelberg Univ., Heidelberg (Germany)
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)
OSTI Identifier:
1489800
Report Number(s):
JLAB-THY-18-2872; DOE/OR/23177-4585; arXiv:1807.10933
Journal ID: ISSN 1029-8479; PII: 9486
Grant/Contract Number:  
FG02-04ER41302; AC05-0623177; AC02-05CH11231
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: 2018; Journal Issue: 11; 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

Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements. United States: N. p., 2018. Web. doi:10.1007/JHEP11(2018)178.
Karpie, Joseph, Orginos, Kostas, & Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements. United States. doi:10.1007/JHEP11(2018)178.
Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Wed . "Moments of Ioffe time parton distribution functions from non-local matrix elements". United States. doi:10.1007/JHEP11(2018)178. https://www.osti.gov/servlets/purl/1489800.
@article{osti_1489800,
title = {Moments of Ioffe time parton distribution functions from non-local matrix elements},
author = {Karpie, Joseph and Orginos, Kostas and Zafeiropoulos, Savvas},
abstractNote = {Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.},
doi = {10.1007/JHEP11(2018)178},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2018,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Left: The first and second derivative of $M(ν, z^2)$ with respect to $ν$ at $ν$ = 0 rescaled by $i$ as defined in Eq. (3.6). Right: The two lowest moments of the isovector unpolarized PDFs at µ = 3 GeV versus $z^2$. The shaded error bands are themore » QCDSF results for the same pion mass (≈ 600 MeV) obtained from [32] at the same scale $µ$ = 3 GeV. At low $z^2$ the perturbative matching seems to work well as indicated by the independence of the moment on $z^2$.« less

Save / Share:

Works referenced in this record:

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


Short-distance and light-cone expansions for products of currents
journal, November 1978


On the difficulty of computing higher-twist corrections
journal, November 1996


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


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


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

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


New lattice approaches to the rule
journal, March 1998


Parton Physics on a Euclidean Lattice
journal, June 2013


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


Quark pseudodistributions at short distances
journal, June 2018


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


More on large-momentum effective theory approach to parton physics
journal, November 2017


Renormalization group invariant average momentum of non-singlet parton densities
journal, July 1999


A general method for non-perturbative renormalization of lattice operators
journal, July 1995


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


    Works referencing / citing this record:

    Unraveling high-energy hadron structures with lattice QCD
    journal, December 2018


    Unraveling high-energy hadron structures with 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

    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

    Lattice finite-volume dependence of the nucleon parton distributions
    journal, October 2019


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


    Generalized parton distributions and pseudodistributions
    journal, December 2019


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


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


    Multiplicative Renormalizability of Operators defining Quasiparton Distributions
    journal, February 2019


    Hadrons and nuclei
    journal, November 2019

    • Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12902-4

    Lattice QCD and neutrino-nucleus scattering
    journal, November 2019

    • Kronfeld, Andreas S.; Richards, David G.; Detmold, William
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12916-x

    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

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

    • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-02720

      Figures / Tables found in this record:

        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.