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.

References in corpus (7)

• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• Exclusive B-> K_{1}l ^{+}l ^{-} decay in model with single universal extra dimension
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• Exclusive $B-->\pi {\ell }^{+}{\ell }^{-}$ and $B-->\rho {\ell }^{+}{\ell }^{-}$ Decays in the Universal Extra Dimension
• Exclusive b \to s (d) ll Decays