Some recent developments in nonleptonic $B$ decays

TL;DR

This paper reviews recent advances in understanding two-body nonleptonic B meson decays, including NNLO corrections, decay puzzles, and symmetry-based amplitude estimates, enhancing theoretical precision and insight.

Contribution

It introduces new NNLO calculations, discusses decay puzzles, and combines QCD factorisation with SU(3) symmetry to estimate weak-annihilation amplitudes.

Findings

NNLO corrections to penguin amplitudes computed

Identification of puzzles in color-allowed decays

Estimation of weak-annihilation amplitudes using symmetry methods

Abstract

I report on three recent topics from the field of two-body nonleptonic decays of $B_{(s)}$ mesons. The computation of two-loop NNLO corrections to the leading penguin amplitudes in QCD factorisation, puzzles that have emerged in colour-allowed tree-level decays to heavy-light final states, and a combination of QCD factorisation with $SU(3)$ flavour symmetry to estimate the size of weak-annihilation amplitudes.