B-physics from Lattice Gauge Theory

TL;DR

This paper reviews lattice gauge theory approaches to B-physics, covering heavy quark treatment, decay constants, form factors, and meson mixing parameters, highlighting current tensions and future benchmarks.

Contribution

It provides a comprehensive overview of recent lattice QCD computations in B-physics, including new methods, results, and analysis of discrepancies among different collaborations.

Findings

Consolidated results for b-quark mass and B(s) decay constants.

Identification of tensions in semileptonic decay form factor calculations.

Recent developments in bag parameter computations for meson mixing.

Abstract

We discuss the main issues in dealing with heavy quarks on the lattice and shortly present the different approaches used. We discuss a selection of computations covering first the b-quark mass and the B(s) meson decay constants as the consolidated results (neglecting isospin breaking corrections). In the second part we consider recent calculations of form factors for tree-level semileptonic decays with emphasis on the tensions between the results produced by different collaborations. We propose benchmark quantities and tests suited to investigate the origin of such tensions. Finally, we review computations of the bag parameters parameterising neutral meson mixing and provide an overview on a few recent developments in the field.