Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme

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 $\overline{\mathrm{MS}}$ scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.

arXiv comment7 pages, 0 figures

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