Polarized gluon pseudodistributions at short distances

Balitsky, Ian; Morris, Wayne; Radyushkin, Anatoly

doi:10.1007/jhep02(2022)193

Title: Polarized gluon pseudodistributions at short distances

Abstract

We formulate the basic points of the pseudo-PDF approach to the lattice calculation of polarized gluon PDFs. We present the results of our calculations of the one-loop corrections for the bilocal G_μα(z)G~_λβ (0) correlator of gluonic fields. Expressions are given for a general situation when all four indices are arbitrary, and also for specific combinations of indices corresponding to three matrix elements that contain the twist-2 invariant amplitude related to the polarized PDF. We study the evolution properties of these matrix elements, and derive matching relations between Euclidean and light-cone Ioffe-time distributions. These relations are necessary for extraction of the polarized gluon distributions from the lattice data.

Authors:

Balitsky, Ian ^[1]; Morris, Wayne ^[1]; Radyushkin, Anatoly ^[1]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Thu Feb 24 00:00:00 EST 2022

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:: 1853939

Report Number(s):: JLAB-THY-21-3547; DOE/OR/23177-5380; arXiv:2112.02011
Journal ID: ISSN 1029-8479; TRN: US2304923

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028

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: 2022; Journal Issue: 2; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO Computations; QCD Phenomenology

Citation Formats


                    Balitsky, Ian, Morris, Wayne, and Radyushkin, Anatoly. Polarized gluon pseudodistributions at short distances.  United States: N. p., 2022. 
Web.  doi:10.1007/jhep02(2022)193.

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                    Balitsky, Ian, Morris, Wayne, & Radyushkin, Anatoly. Polarized gluon pseudodistributions at short distances.  United States.  https://doi.org/10.1007/jhep02(2022)193

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                    Balitsky, Ian, Morris, Wayne, and Radyushkin, Anatoly. Thu .  
"Polarized gluon pseudodistributions at short distances".  United States.  https://doi.org/10.1007/jhep02(2022)193.  https://www.osti.gov/servlets/purl/1853939.

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@article{osti_1853939,

  title        = {Polarized gluon pseudodistributions at short distances},

  author       = {Balitsky, Ian and Morris, Wayne and Radyushkin, Anatoly},

  abstractNote = {We formulate the basic points of the pseudo-PDF approach to the lattice calculation of polarized gluon PDFs. We present the results of our calculations of the one-loop corrections for the bilocal Gμα(z)G~λβ (0) correlator of gluonic fields. Expressions are given for a general situation when all four indices are arbitrary, and also for specific combinations of indices corresponding to three matrix elements that contain the twist-2 invariant amplitude related to the polarized PDF. We study the evolution properties of these matrix elements, and derive matching relations between Euclidean and light-cone Ioffe-time distributions. These relations are necessary for extraction of the polarized gluon distributions from the lattice data.},

  doi          = {10.1007/jhep02(2022)193},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 2,

  volume       = 2022,

  place        = {United States},

  year         = {Thu Feb 24 00:00:00 EST 2022},

  month        = {Thu Feb 24 00:00:00 EST 2022}

}

Copy to clipboard

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Title: Polarized gluon pseudodistributions at short distances

Abstract

Citation Formats

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

Multiplicative Renormalizability of Operators defining Quasiparton Distributions journal, February 2019

Pion distribution amplitude from Euclidean correlation functions journal, March 2018

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

Nucleon gluon distribution function from 2 + 1 + 1-flavor lattice QCD journal, April 2021

Improved quasi parton distribution through Wilson line renormalization journal, February 2017

Gluon pseudo-distributions at short distances: Forward case journal, September 2020

Gluon parton distribution of the pion from lattice QCD journal, December 2021

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

Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics journal, November 2021

Quark pseudodistributions at short distances journal, June 2018

On the power divergence in quasi gluon distribution function journal, May 2018

Complete matching for quasidistribution functions in large momentum effective theory journal, October 2019

Gluon quasidistribution function at one loop journal, February 2018

Parton physics from large-momentum effective field theory journal, May 2014

Matching generalized parton quasidistributions in the RI/MOM scheme journal, August 2019

Parton distributions and lattice-QCD calculations: Toward 3D structure journal, November 2021

One-loop structure of parton distribution for the gluon condensate and “zero modes” journal, December 2021

Accessing Gluon Parton Distributions in Large Momentum Effective Theory journal, April 2019

Generalized parton distributions and pseudodistributions journal, December 2019

One-loop matching for generalized parton distributions journal, July 2015

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

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

Light-ray evolution equations and leading-twist parton helicity-dependent nonforward distributions journal, November 1997

Renormalization of quasiparton distribution journal, August 2015

One-loop matching for transversity generalized parton distribution journal, September 2015

Parton Physics on a Euclidean Lattice journal, June 2013

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

One-loop matching for parton distributions: Nonsinglet case journal, July 2014

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

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

Polarized parton distribution functions journal, January 1991

Short-distance structure of unpolarized gluon pseudodistributions journal, January 2022

Evolution equations for QCD string operators journal, January 1989

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

Nonperturbatively renormalized glue momentum fraction at the physical pion mass from lattice QCD journal, October 2018

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

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

Multiplicative Renormalizability of Operators defining Quasiparton Distributions
journal, February 2019

Pion distribution amplitude from Euclidean correlation functions
journal, March 2018

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

Nucleon gluon distribution function from 2 + 1 + 1-flavor lattice QCD
journal, April 2021

Improved quasi parton distribution through Wilson line renormalization
journal, February 2017

Gluon pseudo-distributions at short distances: Forward case
journal, September 2020

Gluon parton distribution of the pion from lattice QCD
journal, December 2021

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

Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics
journal, November 2021

Quark pseudodistributions at short distances
journal, June 2018

On the power divergence in quasi gluon distribution function
journal, May 2018

Complete matching for quasidistribution functions in large momentum effective theory
journal, October 2019

Gluon quasidistribution function at one loop
journal, February 2018

Parton physics from large-momentum effective field theory
journal, May 2014

Matching generalized parton quasidistributions in the RI/MOM scheme
journal, August 2019

Parton distributions and lattice-QCD calculations: Toward 3D structure
journal, November 2021

One-loop structure of parton distribution for the gluon condensate and “zero modes”
journal, December 2021

Accessing Gluon Parton Distributions in Large Momentum Effective Theory
journal, April 2019

Generalized parton distributions and pseudodistributions
journal, December 2019

One-loop matching for generalized parton distributions
journal, July 2015

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

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

Light-ray evolution equations and leading-twist parton helicity-dependent nonforward distributions
journal, November 1997

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journal, August 2015

One-loop matching for transversity generalized parton distribution
journal, September 2015

Parton Physics on a Euclidean Lattice
journal, June 2013

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

One-loop matching for parton distributions: Nonsinglet case
journal, July 2014

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

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

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journal, January 1991

Short-distance structure of unpolarized gluon pseudodistributions
journal, January 2022

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journal, January 1989

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journal, July 2018

Nonperturbatively renormalized glue momentum fraction at the physical pion mass from lattice QCD
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