Heavy-light and light-light weak matrix elements on the lattice

TL;DR

This paper reviews recent progress in lattice QCD calculations of weak matrix elements, including decay constants, form factors, and mixing parameters, crucial for understanding flavor physics and testing the Standard Model.

Contribution

It summarizes recent developments in lattice computations of key weak matrix elements relevant for heavy meson phenomenology.

Findings

Improved calculations of $f_B$ with propagating and static b quarks

Updated semi-leptonic form factors for D meson decays

Refined form factors for $B o K^* \, \gamma$ and $B_K$

Abstract

I review recent developments in lattice weak matrix element calculations. I focus on on $f_B$ (both with propagating quarks and in the static limit for the $b$ quark), semi-leptonic form factors for $D$ meson decay, form factors for $B \to K^* \gamma$, and $B_K$. [Review presented at Lattice '93]