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arXiv 1902.00307hep-phhep-lat
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RI/MOM方案中准广义部分子分布的匹配

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

摘要:

在大动量有效理论(LaMET)的框架内,广义部分子分布(GPD)可以通过微扰匹配关系从准GPD的晶格计算中提取,直到被强子动量抑制的幂次修正。本文主要研究了等矢量夸克GPD,包括非极化、纵向和横向极化的情况,并给出了将正则化无关动量减(RI/RNN)方案重整化的准GPD与MS方案的GPD相连接的单圈匹配.我们发现,匹配系数是独立的动量转移平方。因此,具有零偏度的准GPD的匹配与准PDF的匹配相同。我们的结果为利用LaMET从格点量子色动力学中确定夸克GPD提供了重要的依据。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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