CP Violation Effects on $B_{s,d}^0\to l^{+}{l}^{-}$ in Supersymmetry at Large $\tan {\hat{I}}^2$

Abstract

An analytic analysis of the CP violating effects arising from the soft SUSY breaking parameters on the decays $B_{s,d}^0\to l^{+}{l}^{-}$ at large $\tan {\hat{I}}^2$ is given. It is found that the phases have a strong effect on the branching ratio and in some regions of the parameter space they can lead to a variation of the branching ratio by as much as 1-2 orders of magnitude. These results have important implications for the discovery of the $B_s^0\to \hat{I}{¼}^{+}\hat{I}{¼}^{-}$ signal in RUNII of the Tevatron and further on how the parameter space of SUSY models will be limited once the signal is found.

Revised version. 13 pages, Latex, including 6 figures