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

TL;DR

This paper analyzes the impact of $car{c}$ resonances on the decay $B o K^* b^+ b^-$, improving theoretical predictions of branching ratios and asymmetries by incorporating resonance effects with AdS/QCD form factors.

Contribution

It introduces a novel approach to include $car{c}$ resonance effects in decay predictions using AdS/QCD form factors and the Breit-Wigner model, aligning theory more closely with experimental data.

Findings

Resonance effects significantly influence the decay spectrum.

Inclusion of resonance effects improves agreement with experimental data.

AdS/QCD provides reliable form factors for decay calculations.

Abstract

We compute the branching ratio and forward-backward asymmetry ($A_{FB}$) distribution for the rare dileptonic decay $B \to K^* \mu^+ \mu^-$ 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.