Progress and prospects for heavy flavour physics on the lattice

TL;DR

This paper reviews recent advancements in lattice QCD calculations for heavy flavor physics, emphasizing decay and mixing amplitudes relevant to CKM analysis and discussing future challenges with upcoming experimental data.

Contribution

It provides a comprehensive overview of recent progress and identifies key challenges for lattice computations in heavy quark physics.

Findings

Improved lattice calculations of decay and mixing amplitudes.

Enhanced understanding of CKM matrix elements.

Identification of future computational challenges.

Abstract

I review recent progress in lattice computations relevant for $B$- and charm physics, focusing on decay and mixing amplitudes with a direct impact on CKM analysis. Emphasis is put on the interplay with the upcoming new generation of experimental results, and the subsequent challenges for lattice computations in the heavy quark sector.