$ B \to (ρ, ω)γ$ Decays and CKM Phenomenology

Abstract

We review and update the branching ratios for the $B \to (ρ,ω) γ$ decays, calculated in the QCD factorization approach in the next-to-leading order (NLO) in the strong coupling $α_s$ and to leading power in $Λ_{\rm QCD}/m_b$. The corrections take into account the vertex, hard-spectator and annihilation contributions and are found to be large. Theoretical expectations for the branching ratios, CP-asymmetry, isospin- and $SU (3)_{\rm F}$-violating ratios in the $B \to ργ$ and $B \to ωγ$ decays are presented and compared with the available data.