Lepton polarization correlations in $B\to K^{\ast }{\tau }^{-}{\tau }^{+}$

Abstract

In this work we will study the polarizations of both leptons ($\tau$) in the decay channel $B\to K^{\ast }{\tau }^{-}{\tau }^{+}$. In the case of the dileptonic inclusive decay $B\to K^{\ast }{\ell }^{-}{\ell }^{+}$, where apart from the polarization asymmetries of single lepton $\ell$, one can also observe the polarization asymmetries of both leptons simultaneously. If this sort of measurement is possible then we can have, apart from decay rate, FB asymmetry and the six single lepton polarization asymmetries (three each for ${\ell }^{-}$ and ${\ell }^{+}$), nine more double polarization asymmetries. This will give us a very useful tool in more strict testing of SM and the physics beyond. We discuss the double polarization asymmetries of $\tau$ leptons in the decay mode $B\to K^{\ast }{\tau }^{-}{\tau }^{+}$ within the SM and the Minimal Supersymmetric extensions of it.

21 pages, 21 figures; version to match paper to appear in PRD

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Cited by in corpus (24)

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• Exclusive B-> K_{1}l ^{+}l ^{-} decay in model with single universal extra dimension
• Spin effects in rare $B\to X_s{\tau }^{+}{\tau }^{-}$ and $B\to K^{(\ast )}{\tau }^{+}{\tau }^{-}$ decays in a single Universal Extra Dimension scenario
• Double-lepton polarization asymmetries in the (B -> K l^+ l^-) decay beyond the Standard Model
• Polarized lepton pair forward-backward asymmetries in (B -> K^* l^+ l^-) decay beyond the standard model
• Form factors, branching ratio and forward-backward asymmetry in B -> K_{1}ell ^{+} ell ^{-} decays
• Supersymmetric effects on Forward Backward asymmetries of $B\to K{\ell }^{+}{\ell }^{-}$
• 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 the Exclusive (B -> rho l^+ l^-) decay beyond the Standard Model
• Exclusive (B -> rho l^+ l^-) decay and Polarized lepton pair forward--backward asymmetries
• Model Independent Analysis of the Forward-Backward Asymmetry for the $B\to K_1{\mu }^{+}{\mu }^{-}$ Decay
• Analysis of the $B\to K_2^{\ast }(\to K\pi )l^{+}{l}^{-}$ decay
• Lepton polarization asymmetries for FCNC decays of the ${\Lambda }_b$ baryon
• Lepton polarization asymmetries for $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$: A Model Independent approach
• (B -> K_2 l^+ l^-) decay beyond the Standard Model
• Effect of scalar leptoquarks on the lepton flavor violation decays of B meson
• The Forward Backward asymmetries of $B\to X_s{\tau }^{+}{\tau }^{-}$ in the MSSM
• 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
• Looking for forward backward asymmetries in $B\to K{\mu }^{+}{\mu }^{-}$ and $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$
• CP violation in the $B\to K{\ell }^{+}{\ell }^{-}$ decay
• Probe the effects of split SUSY in rare B decays