# $B o K^{ast} 01430 l^{ } l^{-}$ decays in supersymmetric theories - High Energy Physics - Phenomenology

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Abstract: The weak decays of $B \to K^{\ast} 01430 l^{+} l^{-}$ $l=\mu, \tau$ areinvestigated in Minimal Supersymmetric Standard Model MSSM and also inSupersymmetric SUSY SO10 Grand Unified Models. Neutral Higgs bosons are thepoint of main focus in MSSM because they make quite a large contribution inexclusive $B \to X {s} l^{+} l^{-}$ decays at large $\tan{\beta}$ regions ofparameter space of SUSY models, as part of SUSY contributions is proportionalto $\tan^{3}{\beta}$. The analysis of decay rate, forward-backward asymmetriesand lepton polarization asymmetries in $B \to K^{\ast} 01430 l^{+} l^{-}$show that the values of these physical observables are greatly modified by theeffects of neutral Higgs bosons. In SUSY SO10 GUT model, the new physicscontribution comes from the operators which are induced by the neutral Higgsboson penguins and also from the operators with chirality opposite to that ofthe corresponding Standard Model SM operators. SUSY SO10 effects show uponly in the decay $B \to K^{\ast} 0 \mu^{+} \mu^{-}$ where the transverselepton polarization asymmetries deviate significantly from the SM value whilethe effects in the decay rate, forward-backward asymmetries, the longitudinaland normal lepton polarization asymmetries are very mild. The transverse leptonpolarization asymmetry is almost zero in SM and in MSSM model, whereas it canreach to -0.3 in SUSY SO10 GUT model which could be seen at the futurecolliders; hence this asymmetry observable can be used to discriminate betweendifferent SUSY models.

Author: M. Jamil Aslam, Cai-Dian Lu, Yu-Ming Wang

Source: https://arxiv.org/