$b \to s \ell\overline{\ell}$ process and multi-Higgs doublet model

Rare $b$ decay processes are analyzed in the multi-Higgs doublet model. Taking account of the constraint from the $b\to s \gamma$ process, the branching ratio and the forward-backward asymmetry of the final leptons for the $b\to s \ell^+ \ell^-$ process are calculated. It is shown that the branching ratio can be a few times larger than the standard model prediction and the asymmetry can be significantly different from that in the standard model. Combining these observable quantities it is possible to determine complex coupling constants associated with the charged Higgs mixing matrix. The CP violating charge asymmetry in the $b\to s \ell^+ \ell^-$ process and the branching ratio of the $b\to s \nu\bar{\nu}$ process are also calculated.