Rare decay $B\to X_s{l}^{+}{l}^{-}$ in a CP spontaneously broken two Higgs doublet model

Abstract

The Higgs boson mass spectrum and couplings of neutral Higgs bosons to fermions are worked out i n a CP spontaneously broken two Higgs doublet model in the large tan$\beta$ case. The differential branching ratio, forward-backward asymmetry, CP asymmetry and lepton polarization for $B\to X_s{l}^{+}{l}^{-}$ are computed. It is shown that effects of neutral Higgs bosons are quite significant when $\tan \beta$ is large. Especially, the CP violating normal polarization $P_N$ can be as large as several percents.

Comments: 27 pages, text updated, new numerical results included