B-physics from lattice gauge theory

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 $$B_{(s)}$$ 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.

B-meson semileptonic decays with highly improved staggered quarks

“…Some current few-sigma discrepancies (collectively referred to as 𝐵-anomalies) may be hints for new physics, (For recent discussions from a lattice perspective, see, e.g., Refs. [1][2][3][4][5].) There are also long-standing differences in inclusive and exclusive extractions of the CKM elements |𝑉 𝑢𝑏 | and |𝑉 𝑐𝑏 |, which should be resolved.…”

b-Quark physics as a precision laboratory: a collection of articles on the present status and future prospects

“…Two complementary methods addressing this challenge are Lattice QCD and QCD sum rule techniques. J. Tobias Tsang and Michelle Dela Morte provide an overview [4] of studies on heavy quarks using lattice simulations. They summarize computations of B -meson decay constants and relevant form factors for semi-leptonic decays, along with the parametrization of bag parameters crucial for understanding mixing.…”