Towards precision heavy flavour physics from lattice QCD

TL;DR

Recent advances in lattice QCD enable high-precision, ab-initio calculations in heavy flavour physics, particularly for B-mesons, addressing challenges in non-perturbative b-quark treatments and improving fundamental parameter determinations.

Contribution

The paper discusses strategies and progress in non-perturbative lattice QCD calculations for B-mesons, focusing on effective theories for b-quarks and their application to determine the b-quark mass.

Findings

Progress in non-perturbative lattice QCD methods for B-mesons.

Successful application to b-quark mass determination.

Ongoing project with two dynamical flavours.

Abstract

I convey an idea of the significant recent progress, which opens up good perspectives for high-precision ab-initio computations in heavy flavour physics based on lattice QCD. This report focuses on the strategy and the challenges of fully non-perturbative investigations in the B-meson sector, where the b-quark is treated within an effective theory, as followed by the ALPHA Collaboration. As an application, I outline its use to determine the b-quark mass and summarize the status of our ongoing project in the two dynamical flavour theory.