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

TL;DR

This study compares rare B meson decays involving scalar and vector mesons in supersymmetric models, highlighting potential measurable deviations from the Standard Model at LHC, especially in the low dileptonic invariant mass region.

Contribution

It provides the first detailed comparison of $B o K_0^*(1430) \, \ell^+ \ell^-$ and $B \to K^* \ell^+ \ell^-$ decays within supersymmetric models, emphasizing their experimental observability and deviations from Standard Model predictions.

Findings

$B \to K_0^*(1430) \ell^+ \ell^-$ decay is measurable at LHC.

Greater deviation from Standard Model in $B \to K_0^*(1430) \ell^+ \ell^-$ compared to $B \to K^* \ell^+ \ell^-$.

Measurement at low $q^2$ can reveal new physics insights.

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 $B\rightarrow X_s \ell^-\ell^+$. 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($1\leq q^2\leq 6$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.