Non-perturbative Heavy Quark Effective Theory: Introduction and Status

TL;DR

This paper introduces non-perturbative Heavy Quark Effective Theory (HQET), focusing on its formulation, parameter determination, and lattice implementation, highlighting recent progress and future challenges.

Contribution

It provides a comprehensive overview of non-perturbative HQET formulation and summarizes recent lattice QCD developments by the ALPHA collaboration.

Findings

Successful non-perturbative parameter determination

Advances in lattice HQET calculations

Identification of key challenges and future opportunities

Abstract

We give an introduction to Heavy Quark Effective Theory (HQET). Our emphasis is on its formulation non-perturbative in the strong coupling, including the non-perturbative determination of the parameters in the HQET Lagrangian. In a second part we review the present status of HQET on the lattice, largely based on work of the ALPHA collaboration in the last few years. We finally discuss opportunities and challenges.