$B_{d,s}^0\to {\mu }^{-}{\mu }^{+}$ in the MSSM

Abstract

We present the results of the complete one-loop computation of the $B_{d,s}^0\to l^{+}{l}^{-}$ decay rate in the MSSM. Both sources of the FCNC, the CKM matrix and off-diagonal entries of the sfermion mass matrices are considered. Strong enhancement of the branching ratio (compared to the SM prediction) can be obtained in the large $\tan \beta \sim m_t/m_b$ regime in which the neutral Higgs boson ``penguin'' diagrams dominate. We make explicit the strong dependence of this enhancement on the top squarks mixing angle in the case of the chargino contribution and on the $\mu$ parameter in the case of the gluino contribution. We show that, in some regions of the MSSM parametre space, the branching ratio for this process can be as large as $10^{-(5-4)}$ respecting all existing constraints, including the CLEO measurement of $BR(B\to X_s\gamma )$. We also estimate, that for chargino and stop masses $\sim \mathcal{O}(100$ GeV) $BR(B_s^0\to l^{+}{l}^{\prime -})$ with $l{l}^{\prime }=e\tau$ or $\mu \tau$ can be of the order of $10^{-11}$ for the still allowed values of the off-diagonal entries in the slepton mass matrix.

22 pages, 6 figures

References in corpus (2)

• Higgs-Mediated $B^0->{\mu }^{+}{\mu }^{-}$ in Minimal Supersymmetry
• B_{s,d} -> l+ l- in a Two-Higgs-Doublet Model

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