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arXiv · 1810.10879

Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme

Yu-Sheng Liu·Wei Wang·Ji Xu·Qi-An Zhang·Shuai Zhao·Yong Zhao
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Abstract

The $x$-dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasi distribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory (LaMET). 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 quasi parton 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 $\overline{\rm MS}$ scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.

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Yu-Sheng Liu, Wei Wang, Ji Xu, Qi-An Zhang, Shuai Zhao, Yong Zhao. 2018-10-25. Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme. https://doi.org/10.1103/physrevd.99.094036

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