Study of 1/m corrections in HQET

TL;DR

This paper explores the matching of HQET with QCD including 1/m corrections by introducing a new observable and performing quenched lattice simulations to extract kinetic term coefficients.

Contribution

It introduces a novel observable based on heavy-light energy dependence on boundary conditions for matching HQET with QCD, including 1/m corrections.

Findings

New observable for matching HQET with QCD.

Extraction of static limit and 1/m coefficient from simulations.

Comparison of preliminary results with HQET.

Abstract

We report our exploratory study on the matching condition of HQET with QCD including 1/m corrections. We introduce a new observable from the dependence of the heavy-light effective energy on the twisted boundary condition parameter $\theta$, which could be used to match the kinetic term $\vec{D}^2/(2m)$. Carrying out quenched QCD simulations for fixed lattice spacing in small volumes with O(a)-improved Wilson fermions, we study the 1/m dependence of this observable, from which the static limit and 1/m coefficient can be extracted. We also compare our preliminary result with HQET.