$\Delta S=2$ decays of $B^{-}$ meson in MSSM and two Higgs doublet model

Abstract

In view of the extreme smallness of $\Delta S=2$ transitions of $B$ meson in the Standard Model, we consider their occurence in several extensions of it. Thus, we analyze the three - body $B^{-}\to K^{-}{K}^{-}{\pi }^{+}$ and two - body $B^{-}\to K^{\ast -}{\text{barK}}^{\ast 0}$, $B^{-}\to K^{-}{\bar{K}}^0$, $B^{-}\to K^{\ast -}{\bar{K}}^0$, $B^{-}\to K^{-}{\bar{K}}^{\ast 0}$ decay modes both in the Standard Model and in the Minimal Supersymmetric Model with and without $\mathcal{R}$ parity conservation and in two Higgs doublet models. All five modes are found to have a branching ratio of the order of $10^{-13}$ in the Standard Model, while the expected branching ratio in the different extensions vary between $10^{-9}-10^{-6}$, for a given reasonable choice of parameters.

Comments: 4 pages, talk presented at 4th International Conference on Hyperons, Charm and Beauty Hadrons, Valencia, July 27-30 2000; to appear in Nucl. Phys. B Suppl