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}
}
https://doi.org/10.1103/PhysRevD.99.094036
Web of Science
Works referenced in this record:
Perturbative QCD analysis of exclusive processes and
journal, June 2018
- Lü, Cai-Dian; Wang, Wei; Xing, Ye
- Physical Review D, Vol. 97, Issue 11
Improved parton distribution functions at the physical pion mass
journal, September 2018
- Lin, Huey-Wen; Chen, Jiunn-Wei; Ishikawa, Tomomi
- Physical Review D, Vol. 98, Issue 5
Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018
- Izubuchi, Taku; Ji, Xiangdong; Jin, Luchang
- Physical Review D, Vol. 98, Issue 5
Recent anomalies in B physics
journal, March 2018
- Li, Ying; Lü, Cai-Dian
- Science Bulletin, Vol. 63, Issue 5
Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018
- Green, Jeremy; Jansen, Karl; Steffens, Fernanda
- Physical Review Letters, Vol. 121, Issue 2
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
On the power divergence in quasi gluon distribution function
journal, May 2018
- Wang, Wei; Zhao, Shuai
- Journal of High Energy Physics, Vol. 2018, Issue 5
Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry
journal, February 2019
- Zhang, Rui; Chen, Jiunn-Wei; Jin, Luchang
- Nuclear Physics B, Vol. 939
Moments of pseudoscalar meson distribution amplitudes from the lattice
journal, October 2006
- Braun, V. M.; Göckeler, M.; Horsley, R.
- Physical Review D, Vol. 74, Issue 7
Higher twist distribution amplitudes of vector mesons in QCD: Formalism and twist 3 distributions
journal, September 1998
- Ball, Patricia; Braun, V. M.; Koike, Y.
- Nuclear Physics B, Vol. 529, Issue 1-2
Gluon quasidistribution function at one loop
journal, February 2018
- Wang, Wei; Zhao, Shuai; Zhu, Ruilin
- The European Physical Journal C, Vol. 78, Issue 2
Parton physics from large-momentum effective field theory
journal, May 2014
- Ji, XiangDong
- Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7
Perturbative renormalization of quasi-parton distribution functions
journal, September 2017
- Constantinou, Martha; Panagopoulos, Haralambos
- Physical Review D, Vol. 96, Issue 5
Subleading power corrections to the pion-photon transition form factor in QCD
journal, December 2017
- Wang, Yu-Ming; Shen, Yue-Long
- Journal of High Energy Physics, Vol. 2017, Issue 12
Second moment of the pion distribution amplitude with the momentum smearing technique
journal, November 2017
- Bali, G. S.; Braun, V. M.; Göckeler, M.
- Physics Letters B, Vol. 774
Renormalization of quasiparton distribution
journal, August 2015
- Ji, Xiangdong; Zhang, Jian-Hui
- Physical Review D, Vol. 92, Issue 3
One-loop matching for transversity generalized parton distribution
journal, September 2015
- Xiong, Xiaonu; Zhang, Jian-Hui
- Physical Review D, Vol. 92, Issue 5
Measurement of the transition form factor
journal, September 2009
- Aubert, B.; Karyotakis, Y.; Lees, J. P.
- Physical Review D, Vol. 80, Issue 5
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979
- Peter Lepage, G.; Brodsky, Stanley J.
- Physics Letters B, Vol. 87, Issue 4
Parton Physics on a Euclidean Lattice
journal, June 2013
- Ji, Xiangdong
- Physical Review Letters, Vol. 110, Issue 26
Extracting parton distribution functions from lattice QCD calculations
journal, October 2018
- Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review D, Vol. 98, Issue 7
One-loop matching for parton distributions: Nonsinglet case
journal, July 2014
- Xiong, Xiaonu; Ji, Xiangdong; Zhang, Jian-Hui
- Physical Review D, Vol. 90, Issue 1
A lattice computation of the first moment of the kaon's distribution amplitude
journal, September 2006
- Boyle, P. A.; Donnellan, M. A.; Flynn, J. M.
- Physics Letters B, Vol. 641, Issue 1
Renormalizability of quasiparton distribution functions
journal, November 2017
- Ishikawa, Tomomi; Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review D, Vol. 96, Issue 9
Gluon Quasi-Parton-Distribution Functions from Lattice QCD
journal, December 2018
- Fan, Zhou-You; Yang, Yi-Bo; Anthony, Adam
- Physical Review Letters, Vol. 121, Issue 24
Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review Letters, Vol. 121, Issue 11
Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
journal, December 2018
- Lin, Huey-Wen; Chen, Jiunn-Wei; Ji, Xiangdong
- Physical Review Letters, Vol. 121, Issue 24
Pion distribution amplitude from lattice QCD
journal, May 2017
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong
- Physical Review D, Vol. 95, Issue 9
Soft factor subtraction and transverse momentum dependent parton distributions on the lattice
journal, April 2015
- Ji, Xiangdong; Sun, Peng; Xiong, Xiaonu
- Physical Review D, Vol. 91, Issue 7
Transversity parton distribution functions from lattice QCD
journal, November 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 98, Issue 9
A general method for non-perturbative renormalization of lattice operators
journal, July 1995
- Martinelli, G.; Pittori, C.; Sachrajda, C. T.
- Nuclear Physics B, Vol. 445, Issue 1
Determining the nonperturbative Collins-Soper kernel from lattice QCD
journal, February 2019
- Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong
- Physical Review D, Vol. 99, Issue 3
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
Quasiparton distribution functions: Two-dimensional scalar and spinor QCD
journal, March 2019
- Ji, Xiangdong; Liu, Yizhuang; Zahed, Ismail
- Physical Review D, Vol. 99, Issue 5
Multiplicative Renormalizability of Operators defining Quasiparton Distributions
journal, February 2019
- Li, Zheng-Yang; Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review Letters, Vol. 122, Issue 6
Lattice calculation of parton distributions
journal, July 2015
- Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent
- Physical Review D, Vol. 92, Issue 1
Exclusive processes in perturbative quantum chromodynamics
journal, November 1980
- Lepage, G. Peter; Brodsky, Stanley J.
- Physical Review D, Vol. 22, Issue 9
Pion distribution amplitude from Euclidean correlation functions
journal, March 2018
- Bali, Gunnar S.; Braun, Vladimir M.; Gläßle, Benjamin
- The European Physical Journal C, Vol. 78, Issue 3
Lattice results for low moments of light meson distribution amplitudes
journal, April 2011
- Arthur, R.; Boyle, P. A.; Brömmel, D.
- Physical Review D, Vol. 83, Issue 7
The structure of the proton in the LHC precision era
journal, May 2018
- Gao, Jun; Harland-Lang, Lucian; Rojo, Juan
- Physics Reports, Vol. 742
Second moment of the pion light-cone distribution amplitude from lattice QCD
journal, July 2015
- Braun, V. M.; Collins, S.; Göckeler, M.
- Physical Review D, Vol. 92, Issue 1
Accessing Gluon Parton Distributions in Large Momentum Effective Theory
journal, April 2019
- Zhang, Jian-Hui; Ji, Xiangdong; Schäfer, Andreas
- Physical Review Letters, Vol. 122, Issue 14
Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018
- Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang
- Physical Review D, Vol. 97, Issue 1
A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Nuclear Physics B, Vol. 923
One-loop matching for generalized parton distributions
journal, July 2015
- Ji, Xiangdong; Schäfer, Andreas; Xiong, Xiaonu
- Physical Review D, Vol. 92, Issue 1
Light-cone distribution amplitudes of vector meson in a large momentum effective theory
journal, June 2018
- Xu, Ji; Zhang, Qi-An; Zhao, Shuai
- Physical Review D, Vol. 97, Issue 11
Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018
- Stewart, Iain W.; Zhao, Yong
- Physical Review D, Vol. 97, Issue 5
Partonic quasidistributions in two-dimensional QCD
journal, September 2018
- Jia, Yu; Liang, Shuangran; Xiong, Xiaonu
- Physical Review D, Vol. 98, Issue 5
Quasidistribution amplitude of heavy quarkonia
journal, November 2016
- Jia, Yu; Xiong, Xiaonu
- Physical Review D, Vol. 94, Issue 9
Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980
- Efremov, A. V.; Radyushkin, A. V.
- Physics Letters B, Vol. 94, Issue 2
Renormalization in Large Momentum Effective Theory of Parton Physics
journal, March 2018
- Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong
- Physical Review Letters, Vol. 120, Issue 11
Flavor structure of the nucleon sea from lattice QCD
journal, March 2015
- Lin, Huey-Wen; Chen, Jiunn-Wei; Cohen, Saul D.
- Physical Review D, Vol. 91, Issue 5
Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- Nuclear Physics B, Vol. 911
Updated lattice results for parton distributions
journal, July 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 96, Issue 1