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

TL;DR

This paper derives a one-loop matching coefficient connecting the RI/MOM renormalized quasidistribution amplitude of B-mesons to the standard LCDA, facilitating lattice QCD calculations of heavy-quark hadron structure.

Contribution

It provides the first derivation of the matching coefficient between RI/MOM scheme and $ar{MS}$ scheme for B-meson quasidistribution amplitude within LaMET.

Findings

Numerical analysis confirms the feasibility of RI/MOM scheme for renormalization.

Derived the one-loop matching coefficient connecting RI/MOM and $ar{MS}$ schemes.

Results enable lattice QCD studies of B-meson partonic structure.

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.