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arXiv · 2209.10719

Matching the B-meson quasidistribution amplitude in the RI/MOM scheme

Ji Xu·Xi-Ruo Zhang
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Abstract

Within the framework of large momentum effective theory (LaMET), the light-cone distribution amplitude of $B$-meson in heavy-quark effective theory (HQET) can be extracted from lattice calculations of quasidistribution amplitude through hard-collinear factorization formula. This quasiquantity can be renormalized in a regularization-independent momentum subtraction scheme (RI/MOM). In this work, we derive the matching coefficient which connects the renormalized quasiditribution amplitude in the RI/MOM scheme and standard LCDA in the $\overline{\textrm{MS}}$ scheme at one-loop accuracy. Our numerical analysis approves of the feasibility of RI/MOM scheme for renormalizing $B$-meson quasidistribution amplitude. These results will be crucial for exploring the partonic structure of heavy-quark hadrons.

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Ji Xu, Xi-Ruo Zhang. 2022-09-22. Matching the B-meson quasidistribution amplitude in the RI/MOM scheme. https://doi.org/10.1103/physrevd.106.114019

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