Lepton polarization in $B\to K_1{\ell }^{+}{\ell }^{-}$ Decays

Abstract

We study the single and double lepton polarization asymmetries in the semileptonic $B$ meson decays $B\to K_1(1270){\ell }^{+}{\ell }^{-}$ $\ell \equiv e$, $\mu$, $\tau$), where the strange $P$-wave meson, $K_1(1270)$, is the mixtures of the $K_{1A}$ and $K_{1B}$, which are the $1^3{P}_1$ and $1^1{P}_1$ states, respectively. The lepton polarization asymmetries show relatively strong dependency in the various region of dileptonic invariant mass. The lepton polarization asymmetries can also be used for determining the $K_1(1270)$--$K_1(1400)$ mixing angle, ${\theta }_{K_1}$ and new physics effects. Furthermore, it is shown that these asymmetries in $B\to K_1(1270){\ell }^{+}{\ell }^{-}$ decay compared with those of $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decay are more sensitive to the dileptonic invariant mass.

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Cited by in corpus (12)

• Phenomenology of GeV-scale scalar portal
• B -> K1 l^+l^- Decays in a Family Non-universal Z' Model
• (In)Visible signatures of the minimal dark abelian gauge sector
• Model Independent Analysis of the Forward-Backward Asymmetry for the $B\to K_1{\mu }^{+}{\mu }^{-}$ Decay
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Forward-backward Asymmetry and Branching Ratio of $B \rar K_1 \ell^+ \ell^-$ Transition in Supersymmetric Models
• The Semileptonic $B$ to $K_1(1270,1400)$ Decays in QCD Sum Rules
• Polarized forward-backward asymmetries of lepton pair in $B\to K_1{\ell }^{+}{\ell }^{-}$ decay in the presence of New physics
• Searching for New Physics by means of Relative Phases and Moduli of Decay Amplitudes
• Production of Chern-Simons bosons in decays of mesons
• Implications of new physics in $B\to K_1{\mu }^{+}{\mu }^{-}$ decay processes
• Combined analysis of $B_c\to D_s^{(\ast )}{\mu }^{+}{\mu }^{-}$ and $B_c\to D_s^{(\ast )}\nu \bar{\nu }$ decays within $Z^{\prime }$ and leptoquark new physics models