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

Karpie, Joseph; Orginos, Kostas; Zafeiropoulos, Savvas

doi:10.1007/JHEP11(2018)178

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:

Karpie, Joseph ^[1];

^[1]; Zafeiropoulos, Savvas ^[2]

The College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Heidelberg Univ., Heidelberg (Germany)

Publication Date:: Wed Nov 28 00:00:00 EST 2018

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.

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                    Karpie, Joseph, Orginos, Kostas, & Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements.  United States.  https://doi.org/10.1007/JHEP11(2018)178

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                    Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Wed .  
"Moments of Ioffe time parton distribution functions from non-local matrix elements".  United States.  https://doi.org/10.1007/JHEP11(2018)178.  https://www.osti.gov/servlets/purl/1489800.

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@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         = {Wed Nov 28 00:00:00 EST 2018},

  month        = {Wed Nov 28 00:00:00 EST 2018}

}

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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 »

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Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
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Similar Records

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

Abstract

Citation Formats

Figures / Tables:

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

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

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

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

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

A complete non-perturbative renormalization prescription for quasi-PDFs text, January 2017

Space-time picture of photon and neutrino scattering and electroproduction cross section asymptotics journal, September 1969

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 text, 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

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

Light-Cone Parton Distribution Functions from Lattice QCD text, January 2018

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

Polarized and unpolarized nucleon structure functions from lattice QCD journal, March 1996

Nucleon Structure Functions from Operator Product Expansion on the Lattice text, January 2017

Parton distributions and lattice QCD calculations: A community white paper text, January 2018

More on large-momentum effective theory approach to parton physics text, January 2017

Parton Physics on Euclidean Lattice text, January 2013

A complete non-perturbative renormalization prescription for quasi-PDFs text, January 2017

Parton distribution functions on the lattice and in the continuum text, January 2017

Quark Pseudo-Distributions at Short Distances text, January 2017

Parton distributions and lattice QCD calculations: a community white paper text, January 2017

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Lattice QCD and Neutrino-Nucleus Scattering text, January 2019

Parton Distribution Functions from Ioffe time pseudo-distributions text, January 2019

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

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

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

Quark pseudodistributions at short distances
journal, June 2018

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

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

A complete non-perturbative renormalization prescription for quasi-PDFs
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Space-time picture of photon and neutrino scattering and electroproduction cross section asymptotics
journal, September 1969

Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering
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Parton distributions and lattice QCD calculations: A community white paper
text, January 2018

New lattice approaches to the rule
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Parton Physics on a Euclidean Lattice
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Nucleon Structure Functions from Operator Product Expansion on the Lattice
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Light-Cone Parton Distribution Functions from Lattice QCD
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More on large-momentum effective theory approach to parton physics
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A general method for non-perturbative renormalization of lattice operators
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Origin of difference between u ¯ and d ¯ partons in the nucleon
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