$B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ decays in supersymmetric theories

Abstract

The weak decays of $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ ($l=\mu ,\tau$) are investigated in Minimal Supersymmetric Standard Model (MSSM) and also in Supersymmetric (SUSY) SO(10) Grand Unified Models. Neutral Higgs bosons are the point of main focus in MSSM because they make quite a large contribution in exclusive $B\to X_s{l}^{+}{l}^{-}$ decays at large $\tan \beta$ regions of parameter space of SUSY models, as part of SUSY contributions is proportional to ${\tan }^3\beta$. The analysis of decay rate, forward-backward asymmetries and lepton polarization asymmetries in $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ show that the values of these physical observables are greatly modified by the effects of neutral Higgs bosons. In SUSY SO(10) GUT model, the new physics contribution comes from the operators which are induced by the neutral Higgs boson penguins and also from the operators with chirality opposite to that of the corresponding Standard Model (SM) operators. SUSY SO(10) effects show up only in the decay $B\to K_0^{\ast }{\mu }^{+}{\mu }^{-}$ where the transverse lepton polarization asymmetries deviate significantly from the SM value while the effects in the decay rate, forward-backward asymmetries, the longitudinal and normal lepton polarization asymmetries are very mild. The transverse lepton polarization asymmetry is almost zero in SM and in MSSM model, whereas it can reach to -0.3 in SUSY SO(10) GUT model which could be seen at the future colliders; hence this asymmetry observable can be used to discriminate between different SUSY models.

16 pages, 5 figures

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