Feasibility of Extracting V_td from Radiative B(B_s) Decays

Physics – High Energy Physics – High Energy Physics - Phenomenology

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19 pages. [Figures can be obtained by sending e-mail message to soni@bnlcl1.bnl.gov]

Scientific paper

10.1142/S0217751X96001759

We use existing measurements of $D^-\to K^{\ast0}\rho^-$ and $B\to \psi+K^\ast$, coupled with flavor independence of QCD, and with vector meson dominance to show that long distance contributions to $B\to \rho +\gamma$ are potentially very serious. We note that long distance (LD) contributions can be appreciably different in $B^-\to \rho^-+\gamma$ and $B^0\to \rho^0 (\omega) +\gamma$. All radiative decays of $B$, $B_S$ are shown to be governed essentially by two LD and two short-distance (SD) hadronic entities. Separate measurements of $B^-\to \rho^-+\gamma$, $B^0\to \rho^0 (\omega) +\gamma$, along with $B\to K^\ast +\gamma$ appear necessary for a meaningful extraction of \vtd. Measurements of $B_S\to \phi+\gamma$ and $K^{\ast0}+\gamma$ could also provide very useful consistency checks.

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