Quasi-Inclusive and Exclusive decays of $B$ to $\hat{I}{\cdot }^{\prime }$

Abstract

We consider the effective Hamiltonian of four quark operators in the Standard Model in the exclusive and quasi-inclusive decays of the type $B\to K^{(\ast )}\hat{I}{\cdot }^{\prime }$, $B\to \hat{I}{\cdot }^{\prime }{X}_s$, where $X_s$ contains a single Kaon. Working in the factorization assumption we find that the four quark operators can account for the recently measured exclusive decays $B\to \hat{I}{\cdot }^{\prime }(\hat{I}\cdot )K$ and $B\to K\ddot{I}€$ for appropriate choice of form factors but cannot explain the large quasi-inclusive rate.

Calculation of $B\to K\ddot{I}€$ added and the correct BSW form factors have been used. Latex 13 papges, 1 figure