Effect of $c\overline{c}$ resonances in the branching ratio and forward-backward asymmetry of the decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$

Abstract

We compute the branching ratio and forward-backward asymmetry ($A_{FB}$) distribution for the rare dileptonic decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ for the full range of $q^2$, the dimuon mass squared, region. For the required form factors, we use nonperturbative inputs as predicted by the anti-de Sitter (AdS)/QCD correspondence. When using the Breit-Wigner model with momentum-dependent decay constants to account for the $\psi$ and ${\psi }^{\prime }$ resonance effects in the nonresonance region of the spectrum, we find our predictions to be in better agreement with the experimental data for the branching ratio.

14 pages, 12 figures. Updated to match the version published in Physical Review D

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• Probing transition form factors in the rare $B\to K^{\ast }\nu \bar{\nu }$ decay
• Re-examination of the rare decay $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ using holographic light-front QCD
• Study Standard Model and Majorana Neutrino Contributions to $B^{+}\to K^{(\ast )\pm }{\mu }^{+}{\mu }^{\mp }$
• Isospin extrapolation as a method to study inclusive $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ decays
• Holographic QCD predictions for rare B decays