Bound on cos α from exclusive weak radiative B decays

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Abstract

We present α bound on the weak phase a from isospin-breaking effects in weak radiative decays, which requires the CP-averaged branching ratios for the weak radiative decays B(±) → ρ(±)γ, B0 → ρ0/ωγ, B → K (*)γ and the photon energy spectrum in B → γlv(l). We carefully identify all sources of isospin-violating effects, which could possibly mask information about the CKM parameters. They are introduced by diagrams with photon bremsstrahlung off the spectator quark and diagrams with annihilation penguin topologies. The former can be eliminated by combining B → ργ and B → K (*)γ data, whereas the latter effects are OZI-suppressed and can be controlled by measuring also the weak radiative modes B(s) → ρ(ω)γ. The resulting bound excludes values of α around 90°, provided that the combined ratio B(B(±) → ρ(±)γ / B(B0 → ρ0/ωγ) X B(B0 → K(*)0γ) / B(B(±) → K(*)(±)γ) is found to be different from 1. (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)306-312
Number of pages7
JournalPhysics Letters B
Volume487
Issue number3-4
DOIs
StatePublished - 17 Aug 2000

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