Transverse momentum dependent parton quasidistributions

Ji, Xiangdong; Jin, Lu-Chang; Yuan, Feng; Zhang, Jian-Hui; Zhao, Yong

doi:10.1103/PhysRevD.99.114006

Title: Transverse momentum dependent parton quasidistributions

Abstract

We investigate the transverse momentum dependent parton distributions (TMDs) in the parton quasidistributions framework. The longstanding hurdle of the so-called pinch pole singularity from the spacelike gauge links in the TMD definitions can be resolved by the finite length of the gauge link along the hadron moving direction. In addition, with the soft factor subtraction, the quasi-TMD is free of linear divergence. We further demonstrate that the energy evolution equation of the quasi-TMD a.k.a. the Collins-Soper evolution, only depends on the hadron momentum. This leads to a clear matching between the quasi-TMD and the standard TMDs.

Authors:: Ji, Xiangdong; Jin, Lu-Chang; Yuan, Feng; Zhang, Jian-Hui; Zhao, Yong

Publication Date:: 2019-06-06

Research Org.:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Connecticut, Storrs, CT (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1525516

Alternate Identifier(s):: OSTI ID: 1560600; OSTI ID: 1596001

Grant/Contract Number:: AC02-05CH11231; SC0011090; SC0010339

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 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


                    Ji, Xiangdong, Jin, Lu-Chang, Yuan, Feng, Zhang, Jian-Hui, and Zhao, Yong. Transverse momentum dependent parton quasidistributions.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.114006.

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                    Ji, Xiangdong, Jin, Lu-Chang, Yuan, Feng, Zhang, Jian-Hui, & Zhao, Yong. Transverse momentum dependent parton quasidistributions.  United States.  https://doi.org/10.1103/PhysRevD.99.114006

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                    Ji, Xiangdong, Jin, Lu-Chang, Yuan, Feng, Zhang, Jian-Hui, and Zhao, Yong. Thu .  
"Transverse momentum dependent parton quasidistributions".  United States.  https://doi.org/10.1103/PhysRevD.99.114006.

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@article{osti_1525516,

  title        = {Transverse momentum dependent parton quasidistributions},

  author       = {Ji, Xiangdong and Jin, Lu-Chang and Yuan, Feng and Zhang, Jian-Hui and Zhao, Yong},

  abstractNote = {We investigate the transverse momentum dependent parton distributions (TMDs) in the parton quasidistributions framework. The longstanding hurdle of the so-called pinch pole singularity from the spacelike gauge links in the TMD definitions can be resolved by the finite length of the gauge link along the hadron moving direction. In addition, with the soft factor subtraction, the quasi-TMD is free of linear divergence. We further demonstrate that the energy evolution equation of the quasi-TMD a.k.a. the Collins-Soper evolution, only depends on the hadron momentum. This leads to a clear matching between the quasi-TMD and the standard TMDs.},

  doi          = {10.1103/PhysRevD.99.114006},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 99,

  place        = {United States},

  year         = {2019},

  month        = {6}

}

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Works referencing / citing this record:

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

Liu, Yu-Sheng; Wang, Wei; Xu, Ji
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/physrevd.100.034006

First direct lattice-QCD calculation of the $x$ -dependence of the pion parton distribution function
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Zhang, Jian-Hui; Chen, Jiunn-Wei; Jin, Luchang
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Complete matching for quasidistribution functions in large momentum effective theory
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Wang, Wei; Zhang, Jian-Hui; Zhao, Shuai
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Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
journal, February 2020

Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai
Physical Review D, Vol. 101, Issue 3
DOI: 10.1103/physrevd.101.034020

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Title: Transverse momentum dependent parton quasidistributions

Abstract

Citation Formats

Lattice calculation of parton distributions journal, July 2015

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

Back-to-back jets in QCD journal, December 1981

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

Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation journal, November 2015

Nondipolar Wilson links for quasiparton distribution functions journal, October 2016

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

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

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum journal, February 2005

Sivers and Boer-Mulders observables from lattice QCD journal, May 2012

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

Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry journal, February 2019

Gluon quasidistribution function at one loop journal, February 2018

Smeared quasidistributions in perturbation theory journal, March 2018

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

Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements journal, July 2017

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

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

Back-to-back jets: Fourier transform from b to kT journal, April 1982

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

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

Exploring quark transverse momentum distributions with lattice QCD journal, May 2011

Renormalization of quasiparton distribution journal, August 2015

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

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

Quasi parton distributions and the gradient flow journal, March 2017

Parton Physics on a Euclidean Lattice journal, June 2013

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

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all journal, September 2016

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

Universality of non-leading logarithmic contributions in transverse-momentum distributions journal, February 2001

Renormalizability of quasiparton distribution functions journal, November 2017

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

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

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

Universality of transverse-momentum resummation and hard factors at the NNLO journal, April 2014

Pion distribution amplitude from lattice QCD journal, May 2017

Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum journal, August 2008

Soft factor subtraction and transverse momentum dependent parton distributions on the lattice journal, April 2015

Updated lattice results for parton distributions journal, July 2017

Computation of parton distributions from the quasi-PDF approach at the physical point journal, January 2018

Updated lattice results for parton distributions text, January 2017

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

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

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

Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching journal, February 2020

Lattice calculation of parton distributions
journal, July 2015

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

Back-to-back jets in QCD
journal, December 1981

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

Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation
journal, November 2015

Nondipolar Wilson links for quasiparton distribution functions
journal, October 2016

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

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

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005

Sivers and Boer-Mulders observables from lattice QCD
journal, May 2012

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

Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry
journal, February 2019

Gluon quasidistribution function at one loop
journal, February 2018

Smeared quasidistributions in perturbation theory
journal, March 2018

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

Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements
journal, July 2017

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

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

Back-to-back jets: Fourier transform from b to kT
journal, April 1982

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

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

Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011

Renormalization of quasiparton distribution
journal, August 2015

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

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

Quasi parton distributions and the gradient flow
journal, March 2017

Parton Physics on a Euclidean Lattice
journal, June 2013

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

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

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

Universality of non-leading logarithmic contributions in transverse-momentum distributions
journal, February 2001

Renormalizability of quasiparton distribution functions
journal, November 2017

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

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

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

Universality of transverse-momentum resummation and hard factors at the NNLO
journal, April 2014

Pion distribution amplitude from lattice QCD
journal, May 2017

Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
journal, August 2008

Soft factor subtraction and transverse momentum dependent parton distributions on the lattice
journal, April 2015

Updated lattice results for parton distributions
journal, July 2017

Computation of parton distributions from the quasi-PDF approach at the physical point
journal, January 2018

Updated lattice results for parton distributions
text, January 2017

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

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

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

Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
journal, February 2020