Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD

Shanahan, Phiala; Wagman, Michael L.; Zhao, Yong

doi:10.1103/PhysRevD.101.074505

Title: Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD

Abstract

Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentumdependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector operators, including all mixings between operators with different Dirac structures, are computed nonperturbatively in the regularization independent momentum subtraction scheme for the first time. This study is undertaken in quenched QCD with three different lattice spacings. With Wilson flow applied to the gauge fields in the calculations, the operator mixing pattern due to chiral symmetry breaking with the lattice regularization is found to be significantly different from that predicted by one-loop lattice perturbation theory calculations. These results constitute a critical step towards the systematic extraction of TMDPDFs from lattice QCD

Authors:: Shanahan, Phiala; Wagman, Michael L.; Zhao, Yong

Publication Date:: Tue Apr 07 00:00:00 EDT 2020

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

OSTI Identifier:: 1632909

Alternate Identifier(s):: OSTI ID: 1617688; OSTI ID: 1635373

Report Number(s):: BNL-215915-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 074505

Grant/Contract Number:: SC0011090; SC0012704; AC02-05CH11231; ACI-1548562

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 101 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; lattice QCD; nonperturbative effects in field theory; quantum chromodynamics; renormalization

Citation Formats


                    Shanahan, Phiala, Wagman, Michael L., and Zhao, Yong. Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.101.074505.

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                    Shanahan, Phiala, Wagman, Michael L., & Zhao, Yong. Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD.  United States.  https://doi.org/10.1103/PhysRevD.101.074505

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                    Shanahan, Phiala, Wagman, Michael L., and Zhao, Yong. Tue .  
"Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD".  United States.  https://doi.org/10.1103/PhysRevD.101.074505.

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@article{osti_1632909,

  title        = {Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD},

  author       = {Shanahan, Phiala and Wagman, Michael L. and Zhao, Yong},

  abstractNote = {Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentumdependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector operators, including all mixings between operators with different Dirac structures, are computed nonperturbatively in the regularization independent momentum subtraction scheme for the first time. This study is undertaken in quenched QCD with three different lattice spacings. With Wilson flow applied to the gauge fields in the calculations, the operator mixing pattern due to chiral symmetry breaking with the lattice regularization is found to be significantly different from that predicted by one-loop lattice perturbation theory calculations. These results constitute a critical step towards the systematic extraction of TMDPDFs from lattice QCD},

  doi          = {10.1103/PhysRevD.101.074505},

  journal      = {Physical Review. D.},

  number       = 7,

  volume       = 101,

  place        = {United States},

  year         = {Tue Apr 07 00:00:00 EDT 2020},

  month        = {Tue Apr 07 00:00:00 EDT 2020}

}

Copy to clipboard

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Title: Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD

Abstract

Citation Formats

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Transverse momentum dependent parton quasidistributions journal, June 2019

Improved continuum limit lattice action for QCD with wilson fermions journal, September 1985

Parton Physics on a Euclidean Lattice journal, June 2013

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

Renormalizability of phase factors in non-abelian gauge theory journal, July 1980

Renormalizability of quasiparton distribution functions journal, November 2017

Comparison of the gradient flow with cooling in S U ( 3 ) pure gauge theory journal, May 2014

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

Gauge-invariant quark two-point Green’s function through connector insertion toO(α s) journal, October 1984

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

Determining the nonperturbative Collins-Soper kernel from lattice QCD journal, February 2019

Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production journal, June 2017

Multiplicative Renormalizability of Operators defining Quasiparton Distributions journal, February 2019

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

Renormalization of quark propagators from twisted-mass lattice QCD at N f = 2 journal, April 2011

Analysis of vector boson production within TMD factorization journal, January 2018

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

Errata journal, November 1993

Testing the Landau gauge operator product expansion on the lattice with a 〈 A 2 〉 condensate journal, April 2001

Multiscale Monte Carlo equilibration: Pure Yang-Mills theory journal, December 2015

Fermilab Tevatron run-1 Z boson data and the Collins-Soper-Sterman resummation formalism journal, April 2003

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

Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects journal, November 2017

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

Renormalization of Wilson-line operators in the presence of nonzero quark masses journal, July 2018

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

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

Pseudoscalar vertex, Goldstone boson and quark masses on the lattice journal, May 1999

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

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

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

Transverse momentum distribution in Drell-Yan pair and W and Z boson production journal, January 1985

Artifacts and ⟨ A 2 ⟩ power corrections: Reexamining Z ψ ( p 2 ) and Z V in the momentum-subtraction scheme journal, August 2006

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

Erratum: Perturbative and nonperturbative renormalization in lattice QCD [Phys. Rev. D 82 , 114511 (2010)] journal, November 2012

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

Scaling properties of multiscale equilibration journal, April 2018

Renormalization of quark propagator, vertex functions, and twist-2 operators from twisted-mass lattice QCD at N f = 4 journal, June 2015

Erratum: Properties and uses of the Wilson flow in lattice QCD journal, March 2014

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

Properties and uses of the Wilson flow in lattice QCD journal, August 2010

Perturbative and nonperturbative renormalization in lattice QCD journal, December 2010

On the renormalization and short-distance properties of hadronic operators in QCD journal, July 1981

Parton distribution and decay functions journal, January 1982

One-loop renormalization of staple-shaped operators in continuum and lattice regularizations journal, April 2019

Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP 3 Collaboration) journal, September 2019

Renormalization of the Wilson loops beyond the leading order journal, January 1987

Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories journal, January 1986

The Chroma Software System for Lattice QCD journal, March 2005

Physics opportunities with the 12 GeV upgrade at Jefferson Lab
journal, December 2012

Towards quasi-transverse momentum dependent PDFs computable on the lattice
journal, September 2019

QCD evolution of the Sivers asymmetry
journal, April 2014

Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution
journal, January 2016

Universality of the Collins–Soper–Sterman nonperturbative function in vector boson production
journal, February 2006

Nonperturbative functions for SIDIS and Drell–Yan processes
journal, April 2018

Two-loop Renormalization of Non-smooth String Operators in Yang-Mills Theory
journal, January 1984

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

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

Non-perturbative renormalization of quark bilinear operators with N f = 2 (tmQCD) Wilson fermions and the tree-level improved gauge action
journal, August 2010

Lattice QCD study of the Boer-Mulders effect in a pion
journal, March 2016

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

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

Consistent OPE description of gluon two- and three-point Green functions?
journal, November 2000

Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
journal, June 2019

Non-perturbative renormalization of two-quark operators with an improved lattice fermion action
journal, July 1993

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

Renormalization of loop functions for all loops
journal, August 1981

Nonperturbative renormalization of quark bilinear operators and $B_{K}$ using domain wall fermions
journal, September 2008

String representations and hidden symmetries for gauge fields
journal, March 1979

Renormalization of quasiparton distribution
journal, August 2015

New fits for the non-perturbative parameters in the CSS resummation formalism
journal, December 2000

Non-perturbative QCD effects in q T spectra of Drell-Yan and Z-boson production
journal, November 2014

Transverse momentum dependent parton quasidistributions
journal, June 2019

Improved continuum limit lattice action for QCD with wilson fermions
journal, September 1985

Parton Physics on a Euclidean Lattice
journal, June 2013

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

Renormalizability of phase factors in non-abelian gauge theory
journal, July 1980

Renormalizability of quasiparton distribution functions
journal, November 2017

Comparison of the gradient flow with cooling in $S U (3)$ pure gauge theory
journal, May 2014

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

Gauge-invariant quark two-point Green’s function through connector insertion toO(α s)
journal, October 1984

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

Determining the nonperturbative Collins-Soper kernel from lattice QCD
journal, February 2019

Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
journal, June 2017

Multiplicative Renormalizability of Operators defining Quasiparton Distributions
journal, February 2019

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

Renormalization of quark propagators from twisted-mass lattice QCD at $N_{f} = 2$
journal, April 2011

Analysis of vector boson production within TMD factorization
journal, January 2018

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

Errata
journal, November 1993

Testing the Landau gauge operator product expansion on the lattice with a $〈 A^{2} 〉$ condensate
journal, April 2001

Multiscale Monte Carlo equilibration: Pure Yang-Mills theory
journal, December 2015

Fermilab Tevatron run-1 Z boson data and the Collins-Soper-Sterman resummation formalism
journal, April 2003

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

Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects
journal, November 2017

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

Renormalization of Wilson-line operators in the presence of nonzero quark masses
journal, July 2018

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

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

Pseudoscalar vertex, Goldstone boson and quark masses on the lattice
journal, May 1999

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

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

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

Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985

Artifacts and $⟨ A^{2} ⟩$ power corrections: Reexamining $Z_{ψ} (p^{2})$ and $Z_{V}$ in the momentum-subtraction scheme
journal, August 2006

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

Erratum: Perturbative and nonperturbative renormalization in lattice QCD [Phys. Rev. D 82 , 114511 (2010)]
journal, November 2012

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

Scaling properties of multiscale equilibration
journal, April 2018

Renormalization of quark propagator, vertex functions, and twist-2 operators from twisted-mass lattice QCD at $N_{f} = 4$
journal, June 2015

Erratum: Properties and uses of the Wilson flow in lattice QCD
journal, March 2014

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

Properties and uses of the Wilson flow in lattice QCD
journal, August 2010

Perturbative and nonperturbative renormalization in lattice QCD
journal, December 2010

On the renormalization and short-distance properties of hadronic operators in QCD
journal, July 1981

Parton distribution and decay functions
journal, January 1982

One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
journal, April 2019

Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP ³ Collaboration)
journal, September 2019

Renormalization of the Wilson loops beyond the leading order
journal, January 1987

Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories
journal, January 1986

The Chroma Software System for Lattice QCD
journal, March 2005