DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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:
; ; ; ; ;
Publication Date:
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.
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
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.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.99.094036

Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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


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

  • Efremov, A. V.; Radyushkin, A. V.
  • Theoretical and Mathematical Physics, Vol. 42, Issue 2
  • DOI: 10.1007/BF01032111

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 * 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


Transversity parton distribution functions from lattice QCD
journal, November 2018

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 98, Issue 9
  • DOI: 10.1103/PhysRevD.98.091503

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

  • Jia, Yu; Liang, Shuangran; Li, LiuJi
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)151

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


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


Light-cone distribution amplitudes of vector meson in a large momentum effective theory
journal, June 2018


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


Partonic quasidistributions in two-dimensional QCD
journal, September 2018


Quasidistribution amplitude of heavy quarkonia
journal, November 2016


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


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


Updated lattice results for parton distributions
journal, July 2017

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 96, Issue 1
  • DOI: 10.1103/PhysRevD.96.014513