A comparative study on $B \rar K^\ast \ell^+ \ell^-$ and $B \rar K_0^\ast (1430) \ell^+ \ell^-$ decays in the Supersymmetric Models

Abstract

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

12 Pages, 3 Figures, 5 Tables

References in corpus (7)

• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Physics Beyond the Standard Model
• Exclusive semileptonic decays of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in supersymmetric theories
• Analysis of rare (B -> K_0*(1430) l^+ l^- decay) within QCD sum rules
• Study of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ Decays
• $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ decays in supersymmetric theories
• Analysis of the $B\to K_2^{\ast }(\to K\pi )l^{+}{l}^{-}$ decay

Cited by in corpus (3)

• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Lepton polarization and CP-violating effects in $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ Decay in Standard and Two Higgs Doublet Model
• Polarized and Unpolarized Lepton Pair Forward-backward Asymmetries in $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $\overline{B}\to \overline{K}{\ell }^{+}{\ell }^{-}$ Decays in Two Higgs Doublet Model