Supersymmetric effects on Forward Backward asymmetries of $B\to K{\ell }^{+}{\ell }^{-}$

Abstract

Leptonic and semi-leptonic rare decays of B-mesons are very clean (both theoretically and experimentally) signatures of any new physics beyond the Standard Model (SM). More specifically the decay \btokll has been theoretically observed to be very sensitive to new physics as the Forward Backward (FB) asymmetry in this decay mode vanishes in the SM. Supersymmetry, however, predicts a non-vanishing value of this asymmetry. In this work we will study the polarized lepton pair FB asymmetry, i.e. the FB asymmetry of the lepton when one (or both) final state lepton(s) are polarized. We will study these asymmetries both within the SM and for Supersymmetric corrections to the SM.

arXiv comment18 pages, RevTeX file including 21 eps figures; version accepted for publication in Phys. Rev. D. Some references added

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• Search for $B^{+}\to K^{+}{\tau }^{+}{\tau }^{-}$ at the BaBar experiment
• Exclusive B-> K_{1}l ^{+}l ^{-} decay in model with single universal extra dimension
• B meson Dileptonic Decays in NMSSM with a Light CP-odd Higgs Boson
• Probe R-parity Violating Supersymmetry Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B_s\to {\ell }^{+}{\ell }^{-}$ Decays
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• Polarized lepton pair forward-backward asymmetries in (B -> K^* l^+ l^-) decay beyond the standard model
• Polarization effects in exclusive semileptonic (Lambda_b -> Lambda l^+ l^-) decay
• Form factors, branching ratio and forward-backward asymmetry in B -> K_{1}ell ^{+} ell ^{-} decays
• Forward-backward asymmetries in (Lambda_b -> Lambda l^+ l^-) decay beyond the standard model
• Exclusive Semileptonic Rare Decays $B\to K^{(\ast )}{l}^{+}{l}^{-}$ in a SUSY SO(10) GUT
• Double-lepton polarization asymmetries in Lambda_b -> Lambda l^+ l^- decay
• Model Independent Analysis of the Forward-Backward Asymmetry for the $B\to K_1{\mu }^{+}{\mu }^{-}$ Decay
• Lepton polarization asymmetries for $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$: A Model Independent approach
• Rare decays $B_s\to l^{+}{l}^{-}$ and $B\to K{l}^{+}{l}^{-}$ in \the topcolor-assisted technicolor model
• Polarized forward-backward asymmetries of lepton pair in $B\to K_1{\ell }^{+}{\ell }^{-}$ decay in the presence of New physics
• Probe the effects of split SUSY in rare B decays