Forward-backward Asymmetry and Branching Ratio of $B \rar K_1 \ell^+ \ell^-$ Transition in Supersymmetric Models

Abstract

The mass eigen states $K_1(1270)$ and $K_1(1400)$ are mixture of the strange members of two axial-vector SU(3) octet, ${}^3{P}_1(K_1^A)$ and ${}^1{P}_1(K_1^B)$. Taking into account this mixture, the forward-backward asymmetry and branching ratio of $B \rar K_1(1270,1400) \ell^+ \ell^-$ transitions are studied in the framework of different supersymmetric models. It is found that the results have considerable deviation from the standard model predictions. Any measurement of these physical observables and their comparison with the results obtained in this paper can give useful information about the nature of interactions beyond the standard model.

14 pages, 4 figures

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• K_1(1270)-K_1(1400) mixing and the fourth generation SM effects in B-->K_1l^+l^- decays
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Analysis of the semileptonic $B\to K_1{\ell }^{+}{\ell }^{-}$transitions and non-leptonic $B\to K_1\gamma$ decay in the AdS/QCD correspondence
• Analysis of Forward-Backward and Lepton Polarization Asymmetries in $B\to K_1{\ell }^{+}{\ell }^{-}$ Decays in the Two-Higgs-doublet Model
• Implications of new physics in $B\to K_1{\mu }^{+}{\mu }^{-}$ decay processes