Radiative and Semileptonic B Decays Involving Higher K-Resonances in the Final States

Abstract

We study the radiative and semileptonic B decays involving a spin-$J$ resonant $K_J^{(\ast )}$ with parity $(-1{)}^J$ for $K_J^{\ast }$ and $(-1{)}^{J+1}$ for $K_J$ in the final state. Using the large energy effective theory (LEET) techniques, we formulate $B\to K_J^{(\ast )}$ transition form factors in the large recoil region in terms of two independent LEET functions ${\zeta }_{\perp }^{K_J^{(\ast )}}$ and ${\zeta }_{\parallel }^{K_J^{(\ast )}}$, the values of which at zero momentum transfer are estimated in the BSW model. According to the QCD counting rules, ${\zeta }_{\perp ,\parallel }^{K_J^{(\ast )}}$ exhibit a dipole dependence in $q^2$. We predict the decay rates for $B\to K_J^{(\ast )}\gamma$, $B\to K_J^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K_J^{(\ast )}\nu \bar{\nu }$. The branching fractions for these decays with higher $K$-resonances in the final state are suppressed due to the smaller phase spaces and the smaller values of ${\zeta }_{\perp ,\parallel }^{K_J^{(\ast )}}$. Furthermore, if the spin of $K_J^{(\ast )}$ becomes larger, the branching fractions will be further suppressed due to the smaller Clebsch-Gordan coefficients defined by the polarization tensors of the $K_J^{(\ast )}$. We also calculate the forward backward asymmetry of the $B\to K_J^{(\ast )}{\ell }^{+}{\ell }^{-}$ decay, for which the zero is highly insensitive to the $K$-resonances in the LEET parametrization.

27 pages, 4 figures, 7 tables;contents and figures corrected, title and references revised

References in corpus (8)

• Angular Distributions in the Decays B -> K* l+l-
• Direct CP, Lepton Flavor and Isospin Asymmetries in the Decays B->K(*)l+l-
• $B\to K_1\gamma$ Decays in the Light-Cone QCD Sum Rules
• Search for B -> h(*) nu nubar Decays at Belle
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• Radiative and Semileptonic B Decays Involving the Tensor Meson K_2^*(1430) in the Standard Model and Beyond
• Search for the Rare Decays B^+ -> mu^+ mu^- K^+, B^0 -> mu^+ mu^- K^*0(892), and B^0_s -> mu^+ mu^- phi at CDF
• Search for B --> K* nu anti-nu decays

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