CP asymmetries and branching ratios of B --> K \pi in supersymmetric models

Abstract

We analyze the supersymmetric contributions to the direct and mixing CP asymmetries and also to the branching ratios of the B --> K \pi decays in a model independent way. We consider both gluino and chargino exchanges and emphasize that a large gluino contribution is essential for saturating the direct and mixing CP asymmetries. We also find that combined contributions from the penguin diagrams with chargino and gluino in the loop could lead to a possible solution for the branching ratios puzzle and account for the results of R_c and R_n within b --> s \gamma constraints. When all relevant constraints are satisfied, our result indicates that supersymmetry favors lower values of R_c. Finally we study the correlations between the mixing CP asymmetry S_{K^0 \pi^0} and mixing CP asymmetries of the processes B --> \phi K and B --> \eta' K. We show that it is quite possible for gluino exchanges to accommodate the results of that observables