Theoretical Approaches to $B\to K^{\ast }\gamma$

Abstract

We describe two recent theoretical calculations of the $B\to K^{\ast }\gamma$ decay. The first method is based on an effective lagrangian incorporating chiral symmetry for the light degrees of freedom and the heavy quark spin-flavor symmetries for the heavy quarks. Using these symmetries, together with the hypothesis of polar q${}^2$ dependence of the semileptonic form factors, one is able to relate $B\to K^{\ast }\gamma$ and $D\to K^{\ast }\ell \nu$ decays with the result $R=\Gamma (B\to K^{\ast }\gamma )/\Gamma (b\to s\gamma )=0.09\pm 0.03$. The second method is based on 3-point function QCD sum rules and gives the result $R=0.17\pm 0.05$. Both results are in reasonable agreement with recent data from the CLEO II Collaboration.

Comments: 6pp, Latex, BARI-TH/93-156