Matching the meson quasidistribution amplitude in the RI/MOM scheme

Liu, Yu-Sheng; Wang, Wei; Xu, Ji; Zhang, Qi-An; Zhao, Shuai; Zhao, Yong

doi:10.1103/PhysRevD.99.094036

Title: Matching the meson quasidistribution amplitude in the RI/MOM scheme

Abstract

The x dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasidistribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory. In this paper, we study the one-loop renormalization of the quasi-DA in the regularization-independent momentum subtraction (RI/MOM) scheme. The renormalization factor for the quasiparton distribution function can be used to renormalize the quasi-DA provided that they are implemented on lattice and in perturbation theory in the same manner. We derive the one-loop matching coefficient that matches quasi-DA in the RI/MOM scheme onto LCDA in the MS¯ scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.

Authors:: Liu, Yu-Sheng; Wang, Wei; Xu, Ji; Zhang, Qi-An; Zhao, Shuai; Zhao, Yong

Publication Date:: 2019-05-28

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); Natural Science Foundation of Shanghai

OSTI Identifier:: 1518511

Alternate Identifier(s):: OSTI ID: 1611574

Grant/Contract Number:: SC0011090; 11575110; 11655002; 11735010; 15DZ2272100; 15ZR1423100; 11621131001; 11521505

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Astronomy & Astrophysics; Physics; Lattice field theory; Nuclear structure & decays; Nucleon distribution; Perturbation theory; Renormalization; Light mesons; Mesons

Citation Formats


                    Liu, Yu-Sheng, Wang, Wei, Xu, Ji, Zhang, Qi-An, Zhao, Shuai, and Zhao, Yong. Matching the meson quasidistribution amplitude in the RI/MOM scheme.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.094036.

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                    Liu, Yu-Sheng, Wang, Wei, Xu, Ji, Zhang, Qi-An, Zhao, Shuai, & Zhao, Yong. Matching the meson quasidistribution amplitude in the RI/MOM scheme.  United States.  https://doi.org/10.1103/PhysRevD.99.094036

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                    Liu, Yu-Sheng, Wang, Wei, Xu, Ji, Zhang, Qi-An, Zhao, Shuai, and Zhao, Yong. Tue .  
"Matching the meson quasidistribution amplitude in the RI/MOM scheme".  United States.  https://doi.org/10.1103/PhysRevD.99.094036.

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@article{osti_1518511,

  title        = {Matching the meson quasidistribution amplitude in the RI/MOM scheme},

  author       = {Liu, Yu-Sheng and Wang, Wei and Xu, Ji and Zhang, Qi-An and Zhao, Shuai and Zhao, Yong},

  abstractNote = {The x dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasidistribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory. In this paper, we study the one-loop renormalization of the quasi-DA in the regularization-independent momentum subtraction (RI/MOM) scheme. The renormalization factor for the quasiparton distribution function can be used to renormalize the quasi-DA provided that they are implemented on lattice and in perturbation theory in the same manner. We derive the one-loop matching coefficient that matches quasi-DA in the RI/MOM scheme onto LCDA in the MS¯ scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.},

  doi          = {10.1103/PhysRevD.99.094036},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 99,

  place        = {United States},

  year         = {2019},

  month        = {5}

}

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Title: Matching the meson quasidistribution amplitude in the RI/MOM scheme

Abstract

Citation Formats

Perturbative QCD analysis of exclusive processes e + e − → V P and e + e − → T P journal, June 2018

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

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

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

Asymptotic behavior of the pion form factor in quantum chromodynamics journal, February 1980

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

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Moments of pseudoscalar meson distribution amplitudes from the lattice journal, October 2006

Higher twist distribution amplitudes of vector mesons in QCD: Formalism and twist 3 distributions journal, September 1998

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

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

Subleading power corrections to the pion-photon transition form factor in QCD journal, December 2017

Second moment of the pion distribution amplitude with the momentum smearing technique journal, November 2017

Renormalization of quasiparton distribution journal, August 2015

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Measurement of the γ γ * → π 0 transition form factor journal, September 2009

Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons journal, November 1979

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

A lattice computation of the first moment of the kaon's distribution amplitude journal, September 2006

Renormalizability of quasiparton distribution functions journal, November 2017

Gluon Quasi-Parton-Distribution Functions from Lattice QCD journal, December 2018

Light-Cone Parton Distribution Functions from Lattice QCD journal, September 2018

Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass journal, December 2018

Pion distribution amplitude from lattice QCD journal, May 2017

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

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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

Solving the Bars-Green equation for moving mesons in two-dimensional QCD journal, November 2017

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Multiplicative Renormalizability of Operators defining Quasiparton Distributions journal, February 2019

Lattice calculation of parton distributions journal, July 2015

Exclusive processes in perturbative quantum chromodynamics journal, November 1980

Pion distribution amplitude from Euclidean correlation functions journal, March 2018

Lattice results for low moments of light meson distribution amplitudes journal, April 2011

The structure of the proton in the LHC precision era journal, May 2018

Second moment of the pion light-cone distribution amplitude from lattice QCD journal, July 2015

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

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

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

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

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

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Quasidistribution amplitude of heavy quarkonia journal, November 2016

Factorization and asymptotic behaviour of pion form factor in QCD journal, July 1980

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Flavor structure of the nucleon sea from lattice QCD journal, March 2015

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

Updated lattice results for parton distributions journal, July 2017

Perturbative QCD analysis of exclusive processes $e^{+} e^{-} \to V P$ and $e^{+} e^{-} \to T P$
journal, June 2018

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

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

Recent anomalies in B physics
journal, March 2018

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

Asymptotic behavior of the pion form factor in quantum chromodynamics
journal, February 1980

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

Moments of pseudoscalar meson distribution amplitudes from the lattice
journal, October 2006

Higher twist distribution amplitudes of vector mesons in QCD: Formalism and twist 3 distributions
journal, September 1998

Gluon quasidistribution function at one loop
journal, February 2018

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

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

Subleading power corrections to the pion-photon transition form factor in QCD
journal, December 2017

Second moment of the pion distribution amplitude with the momentum smearing technique
journal, November 2017

Renormalization of quasiparton distribution
journal, August 2015

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

Measurement of the $γ γ^{*} \to π^{0}$ transition form factor
journal, September 2009

Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979

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

A lattice computation of the first moment of the kaon's distribution amplitude
journal, September 2006

Renormalizability of quasiparton distribution functions
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Gluon Quasi-Parton-Distribution Functions from Lattice QCD
journal, December 2018

Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018

Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
journal, December 2018

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journal, May 2017

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journal, April 2015

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journal, November 2018

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journal, July 1995

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Solving the Bars-Green equation for moving mesons in two-dimensional QCD
journal, November 2017

Quasiparton distribution functions: Two-dimensional scalar and spinor QCD
journal, March 2019

Multiplicative Renormalizability of Operators defining Quasiparton Distributions
journal, February 2019

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journal, July 2015

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journal, November 1980

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journal, March 2018

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journal, April 2011

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journal, May 2018

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journal, January 2018

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journal, March 2018

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journal, September 2018

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journal, November 2016

Factorization and asymptotic behaviour of pion form factor in QCD
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Flavor structure of the nucleon sea from lattice QCD
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Nucleon helicity and transversity parton distributions from lattice QCD
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