Search for new physics in $\Delta S=2$ two - body (VV, PP, VP) decays of the B^- - meson

Abstract

The $\Delta S=2$ $b\to \bar{d}ss$ transition proceeds via the box - diagram in the Standard Model with a branching ratio calculated to be below $10^{-11}$, thus providing an appropriate testing ground for physics beyond the Standard Model. We analyze the $\Delta S=2$ two - body $B^{-}\to K^{\ast -}{\bar{K}}^{\ast 0}$, $B^{-}\to K^{-}{\bar{K}}^0$, $B^{-}\to K^{\ast -}{\bar{K}}^0$ and $B^{-}\to K^{-}{\bar{K}}^{\ast 0}$ exclusive decays which are driven by the $b\to \bar{d}ss$ transition, both in the Standard Model and in several extensions of it. The models considered are the minimal supersymmetric model with and without $\mathcal{R}$ parity conservation and two Higgs doublet models. All four 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 $10^{-9}-10^{-6}$.

Comments: 12 pages