Matching the quasiparton distribution in a momentum subtraction scheme

Stewart, Iain W.; Zhao, Yong

doi:10.1103/PhysRevD.97.054512

Title: Matching the quasiparton distribution in a momentum subtraction scheme

Abstract

The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtraction scheme (RI/MOM), which can then be perturbatively related to the collinear parton distribution in the $$ \overline{M}\ $$S scheme. Furthermore we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the $$ \overline{M}\ $$S PDF, determining the non-singlet quark matching coefficient at next-to-leading order in perturbation theory. We find that the RI/MOM matching coefficient is insensitive to the ultraviolet region of convolution integral, exhibits improved perturbative convergence when converting between the quasi-PDF and PDF, and is consistent with a quasi-PDF that vanishes in the unphysical region as the proton momentum P^z → ∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions.

Authors:: Stewart, Iain W.; Zhao, Yong

Publication Date:: 2018-03-22

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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

OSTI Identifier:: 1427885

Alternate Identifier(s):: OSTI ID: 1501455

Grant/Contract Number:: SC0011090; 327942

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; 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


                    Stewart, Iain W., and Zhao, Yong. Matching the quasiparton distribution in a momentum subtraction scheme.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.054512.

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                    Stewart, Iain W., & Zhao, Yong. Matching the quasiparton distribution in a momentum subtraction scheme.  United States.  https://doi.org/10.1103/PhysRevD.97.054512

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                    Stewart, Iain W., and Zhao, Yong. Thu .  
"Matching the quasiparton distribution in a momentum subtraction scheme".  United States.  https://doi.org/10.1103/PhysRevD.97.054512.

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@article{osti_1427885,

  title        = {Matching the quasiparton distribution in a momentum subtraction scheme},

  author       = {Stewart, Iain W. and Zhao, Yong},

  abstractNote = {The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtraction scheme (RI/MOM), which can then be perturbatively related to the collinear parton distribution in the $ \overline{M}\ $S scheme. Furthermore we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the $ \overline{M}\ $S PDF, determining the non-singlet quark matching coefficient at next-to-leading order in perturbation theory. We find that the RI/MOM matching coefficient is insensitive to the ultraviolet region of convolution integral, exhibits improved perturbative convergence when converting between the quasi-PDF and PDF, and is consistent with a quasi-PDF that vanishes in the unphysical region as the proton momentum Pz → ∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions.},

  doi          = {10.1103/PhysRevD.97.054512},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {3}

}

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Title: Matching the quasiparton distribution in a momentum subtraction scheme

Abstract

Citation Formats

Lattice calculation of parton distributions journal, July 2015

New parton distribution functions from a global analysis of quantum chromodynamics journal, February 2016

Factorization at the LHC: From parton distribution functions to initial state jets journal, May 2010

LHAPDF6: parton density access in the LHC precision era journal, March 2015

Nondipolar Wilson links for quasiparton distribution functions journal, October 2016

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

Lattice QCD exploration of parton pseudo-distribution functions journal, November 2017

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Factorization Of Hard Processes In QCD book, July 1989

The quark beam function at NNLL journal, September 2010

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

Parton distributions for the LHC journal, July 2009

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

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

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

Note on lattice regularization and equal-time correlators for parton distribution functions journal, July 2017

Lattice perturbation theory journal, July 2003

Parton distributions for the LHC run II journal, April 2015

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

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

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

Renormalization of quasiparton distribution journal, August 2015

Quasi parton distributions and the gradient flow journal, March 2017

Moments of nucleon light cone quark distributions calculated in full lattice QCD journal, August 2002

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

Parton distribution functions, α s , and heavy-quark masses for LHC Run II journal, July 2017

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

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Nucleon helicity and transversity parton distributions from lattice QCD journal, October 2016

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

Pion distribution amplitude from lattice QCD journal, May 2017

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

Updated lattice results for parton distributions journal, July 2017

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

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journal, March 2015

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journal, October 2016

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Lattice QCD exploration of parton pseudo-distribution functions
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Factorization Of Hard Processes In QCD
book, July 1989

The quark beam function at NNLL
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Parton physics from large-momentum effective field theory
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Parton distributions for the LHC
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Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements
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Parton distribution function with nonperturbative renormalization from lattice QCD
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Note on lattice regularization and equal-time correlators for parton distribution functions
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Lattice perturbation theory
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Quasi parton distributions and the gradient flow
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Renormalizability of phase factors in non-abelian gauge theory
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