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

In this paper, we compare the branching ratio and rate difference of electron channel to muon channel of $B\text{rar}{K}_0^{\ast }(1430){\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ and $B \rar K^\ast \ell^+ \ell^-$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 $B\to X_s{\mathrm{\ell }}^{-}{\mathrm{\ell }}^{+}$. 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 $B \rar K_0^\ast (1430) \ell^+ \ell^-$ $(\mathrm{\ell }=\mu ,\tau )$ decay is measurable at LHC, secondly, in comparison with $B\text{rar}{K}^{\ast }{\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ decay a greater deviation in the $B\text{rar}{K}_0^{\ast }(1430){\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ decay can be seen. Measurement of these observables for the semileptonic rare $B \rar K_0^\ast (1430) \ell^+ \ell^-$,inparticular,atlow$q^2$ region can give valuable information about the nature of interactions within Standard Model or beyond.