A comparative study on $B\text{rar}{K}^{\ast }{\ell }^{+}{\ell }^{-}$ and $B\text{rar}{K}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ decays in the Supersymmetric Models

Abstract

In this paper, we compare the branching ratio and rate difference of electron channel to muon channel of $B\text{rar}{K}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $B\text{rar}{K}^{\ast }{\ell }^{+}{\ell }^{-}$decays, where $K_0^{\ast }(1430)$ is the p--wave scalar meson, in the supersymmetric models. MSSM with $R$ parity is considered since considerable deviation from the standard model predictions can be obtained in $B\to X_s{\ell }^{-}{\ell }^{+}$. Taking $C_{Q1}$ and $C_{Q2}$ about one which is consistent with the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ rate at low dileptonic invariant mass region($1\le q^2\le 6$GeV${}^2$). It is found that, firstly, the $B\text{rar}{K}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ $(\ell =\mu ,\tau )$ decay is measurable at LHC, secondly, in comparison with $B\text{rar}{K}^{\ast }{\ell }^{+}{\ell }^{-}$ decay a greater deviation in the $B\text{rar}{K}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ decay can be seen. Measurement of these observables for the semileptonic rare $B\text{rar}{K}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$, in particular, at low $q^2$ region can give valuable information about the nature of interactions within Standard Model or beyond.

Comments: 12 Pages, 3 Figures, 5 Tables