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Matching Quasi Generalized Parton Distributions in the RI/MOM scheme

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arxiv 1902.00307 v2 pith:X4L753WY submitted 2019-02-01 hep-ph hep-lat

Matching Quasi Generalized Parton Distributions in the RI/MOM scheme

Yu-Sheng Liu , Wei Wang , Ji Xu , Qi-An Zhang , Jian-Hui Zhang , Shuai Zhao , Yong Zhao This is my paper
classification hep-ph hep-lat
keywords matchinggpdsmomentumschemedistributionslametlatticeparton
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Within the framework of large momentum effective theory (LaMET), genenaralized 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 (RI/MOM) 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-PDF. Our results provide a crucial input for the determination of quark GPDs from lattice QCD using LaMET.

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Cited by 2 Pith papers

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