$B$-meson light-cone distribution amplitude from the Euclidean quantity

TL;DR

This paper introduces a novel, model-independent approach to determine the $B$-meson light-cone distribution amplitude using LaMET and Euclidean lattice simulations, enhancing understanding of heavy-quark hadron structure.

Contribution

It combines LaMET with lattice techniques to determine the $B$-meson LCDA in a model-independent way, including the calculation of the perturbative matching coefficient at one-loop accuracy.

Findings

Demonstrated the scale dependence of the non-local quasi-HQET operator.

Calculated the one-loop perturbative matching coefficient.

Provided a framework for exploring heavy-quark hadron structure.

Abstract

A new method for the model-independent determination of the light-cone distribution amplitude (LCDA) of the $B$-meson in heavy quark effective theory (HQET) is proposed by combining the large momentum effective theory (LaMET) and the numerical simulation technique on the Euclidean lattice. We demonstrate the autonomous scale dependence of the non-local quasi-HQET operator with the aid of the auxiliary field approach, and further determine the perturbative matching coefficient entering the hard-collinear factorization formula for the $B$-meson quasi-distribution amplitude at the one-loop accuracy. These results will be crucial to explore the partonic structure of heavy-quark hadrons in the static limit and to improve the theory description of exclusive $B$-meson decay amplitudes based upon perturbative QCD factorization theorems.