$b\to sl\bar{l}$ in the minimal supergravity model

Abstract

The $b\to s{l}^{+}{l}^{-}$ process is studied in the minimal supergravity model in detail. Taking account of the long distance contributions from the $c\overline{c}$ resonances, we calculate the branching ratio and the lepton forward-backward asymmetry in this model. We find that there is a strong correlation between the branching ratios of $b\to s\gamma$ and $b\to s{l}^{+}{l}^{-}$ processes and that the interference effect can change the $b\to s{l}^{+}{l}^{-}$ branching ratio in the off-resonance regions by up to $\pm 15$ depending on the relative phase between the long and short distance contributions. Using various phenomenological constraints including the branching ratio of $b\to s\gamma$, we show that there are regions in the parameter space where the branching ratio of $b\to s{l}^{+}{l}^{-}$ is enhanced by about 50% compared to the SM. We also show that the branching ratio of $b\to s\nu \overline{\nu }$ is reduced at most by 10% from the SM prediction.

LaTeX, 52 pages including figures

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