Summary
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 contributions to B→ϱ+γ, especially B-→ϱ-+γ, are potentially very serious. Estimates based on the annihilation graph are shown to lead to similar conclusions. We emphasize that long-distance (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 the B→K*+γ can be used for a systematic extraction ofV td. Measurements of Bs→ϕ+γ and K*0+γ could also provide very useful consistency checks.
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This is based on the paper SLAC-PUB-6635.
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Atwood, D., Blok, B. & Soni, A. Feasibility of extractingVtd from radiative B(Bs) decays. Nuov Cim A 109, 873–883 (1996). https://doi.org/10.1007/BF02823629
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DOI: https://doi.org/10.1007/BF02823629