Matching generalized parton quasidistributions in the RI/MOM scheme
Yu-Sheng Liu (Tsung-Dao Lee Institute, Shanghai Jiao-Tong University, Shanghai 200240, China); Wei Wang (SKLPPC, School of Physics and Astronomy, Shanghai Jiao-Tong University, Shanghai 200240, China); Ji Xu (SKLPPC, School of Physics and Astronomy, Shanghai Jiao-Tong University, Shanghai 200240, China); Qi-An Zhang (School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China, Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, China); Jian-Hui Zhang (Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany, Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China); et al - Show all 7 authors
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 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.