FEASIBILITY OF EXTRACTING Vtd FROM RADIATIVE B(Bs) DECAYS

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Abstract
We use experimental information on D−→K*0ρ− and B→ψ+K*, coupled with flavor independence of QCD, and with vector meson dominance, to show that long distance (LD) contributions to B→ρ+γ, especially to B−→ρ−+γ, are potentially very serious. Estimates based on the annihilation graph are shown to lead to similar conclusions. We emphasize that LD contributions can be appreciably different in B−→ρ−+γ and B0→ρ0(ω)+γ. All radiative decays of B, Bs are shown to be governed essentially by two LD and two short distance (SD) hadronic entities. Despite the presence of considerable LD contributions, we show how separate measurements of B−→ρ−+γ, B0→ρ0(ω)+γ, along with B→K*+γ, can be used for a systematic extraction of Vtd. Measurements of Bs→ɸ+γ and K*0+γ could also provide very useful consistency checks.
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