$B\to (\rho ,\omega )\gamma$ Decays and CKM Phenomenology

Abstract

We review and update the branching ratios for the $B\to (\rho ,\omega )\gamma$ decays, calculated in the QCD factorization approach in the next-to-leading order (NLO) in the strong coupling ${\alpha }_s$ and to leading power in ${\Lambda }_{\mathrm{QCD}}/m_b$. 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 $SU(3{)}_{\mathrm{F}}$-violating ratios in the $B\to \rho \gamma$ and $B\to \omega \gamma$ decays are presented and compared with the available data.

Comments: 15 pages, 3 figures; presented by Alexander Parkhomenko at the 14th International Seminar on High Energy Physics: Quarks-2006, St. Petersburg, Russian Federation, 19 - 25 May, 2006 (to appear in the proceedings)