Matching generalized parton quasidistributions in the RI/MOM scheme
Abstract
Within the framework of large momentum effective theory (LaMET), generalized parton distributions (GPDs) can be extracted from lattice calculations of quasi-GPDs through a perturbative matching relation, up to power corrections that are suppressed by the hadron momentum. In this paper, we focus on isovector quark GPDs, including the unpolarized, longitudinally, and transversely polarized cases, and present the one-loop matching that connects the quasi-GPDs renormalized in a regularization-independent momentum subtraction scheme to the GPDs in MS¯ scheme. We find that the matching coefficient is independent of the momentum transfer squared. As a consequence, the matching for the quasi-GPD with zero skewness is the same as that for the quasi-parton-distribution-function. Our results provide a crucial input for the determination of quark GPDs from lattice QCD using LaMET.
- 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:
- 1550592
- Alternate Identifier(s):
- OSTI ID: 1611571
- Grant/Contract Number:
- SC0011090; 11655002; 11575110; 11621131001; 11521505; 11735010; 15DZ2272100; 15ZR1423100
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics; Quantum chromodynamics; Quantum field theory; Strong interaction
Citation Formats
Liu, Yu-Sheng, Wang, Wei, Xu, Ji, Zhang, Qi-An, Zhang, Jian-Hui, Zhao, Shuai, and Zhao, Yong. Matching generalized parton quasidistributions in the RI/MOM scheme. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.034006.
Liu, Yu-Sheng, Wang, Wei, Xu, Ji, Zhang, Qi-An, Zhang, Jian-Hui, Zhao, Shuai, & Zhao, Yong. Matching generalized parton quasidistributions in the RI/MOM scheme. United States. https://doi.org/10.1103/PhysRevD.100.034006
Liu, Yu-Sheng, Wang, Wei, Xu, Ji, Zhang, Qi-An, Zhang, Jian-Hui, Zhao, Shuai, and Zhao, Yong. Thu .
"Matching generalized parton quasidistributions in the RI/MOM scheme". United States. https://doi.org/10.1103/PhysRevD.100.034006.
@article{osti_1550592,
title = {Matching generalized parton quasidistributions in the RI/MOM scheme},
author = {Liu, Yu-Sheng and Wang, Wei and Xu, Ji and Zhang, Qi-An and Zhang, Jian-Hui and Zhao, Shuai and Zhao, Yong},
abstractNote = {Within the framework of large momentum effective theory (LaMET), generalized parton distributions (GPDs) can be extracted from lattice calculations of quasi-GPDs through a perturbative matching relation, up to power corrections that are suppressed by the hadron momentum. In this paper, we focus on isovector quark GPDs, including the unpolarized, longitudinally, and transversely polarized cases, and present the one-loop matching that connects the quasi-GPDs renormalized in a regularization-independent momentum subtraction scheme to the GPDs in MS¯ scheme. We find that the matching coefficient is independent of the momentum transfer squared. As a consequence, the matching for the quasi-GPD with zero skewness is the same as that for the quasi-parton-distribution-function. Our results provide a crucial input for the determination of quark GPDs from lattice QCD using LaMET.},
doi = {10.1103/PhysRevD.100.034006},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
https://doi.org/10.1103/PhysRevD.100.034006
Web of Science
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