Accessing the subleading-twist $B$-meson light-cone distribution amplitude with Large-Momentum Effective Theory

TL;DR

This paper introduces a LaMET-based method to extract the subleading-twist B-meson LCDA from lattice calculations, providing theoretical tools like a matching coefficient and evolution equation to facilitate this process.

Contribution

It develops a novel factorization formula and derives key theoretical components for accessing higher-twist B-meson LCDAs using LaMET on the lattice.

Findings

Derived one-loop matching coefficient for the LCDA

Formulated an evolution equation for the quasidistribution amplitude

Proposed a practical approach for lattice computation of subleading-twist LCDAs

Abstract

Within the framework of large momentum effective theory (LaMET), we propose a hard-collinear factorization formula to extract the subleading-twist $B$-meson light-cone distribution amplitude (LCDA) from the quasidistribution amplitude calculated on the lattice. The one-loop matching coefficient and an integro-differential equation governing the evolution of the quasidistribution amplitude are derived. Our results could be useful either in evaluating the subleading-twist $B$-meson LCDA on the lattice or in the understanding the feasibility of LaMET on higher-twist distributions.