Rare decays of the $B_s-$meson into four charged leptons in the framework of the Standard Model

TL;DR

This paper provides detailed Standard Model predictions for the rare decay _s e2b0 e2b9 e2b9 e2b9 e^+ e^- e2b0 e2b9 e2b9 e2b9 e2b9 e2b9 decay, including resonance effects and differential distributions, to refine predictions for experimental searches.

Contribution

The paper introduces comprehensive Standard Model calculations for _s decay, incorporating multiple resonance contributions and the vector meson dominance model, extending previous theoretical analyses.

Findings

Predicted branching ratio with resonance contributions.

Calculated differential distributions and asymmetries.

Quantified resonance effects on decay observables.

Abstract

In the framework of the Standard Model we present new theoretical predictions for the branching ratios, double and single differential distributions and forward -- backward leptonic asymmetries for the $\bar B_s \to \mu^+ \mu^- e^+ e^-$ decay. In our consideration we take into account the $\phi(1020)$ -- resonance contribution; the main contributions of four charmonium resonances : $\psi(3770)$, $\psi(4040)$, $\psi(4160)$ and $\psi(4415)$; $u\bar{u}$ -- resonant contribution from $\rho(770)$ and $\omega(782)$; tails contributions from $J/\psi$ and $\psi(2S)$ resonances; non -- resonant contribution of the $b\,\bar{b}$ - pairs, bremsstrahlung and the contribution of the weak annihilation. We provide the prediction for the branching ratio of $\bar B_s \to \mu^+ \mu^- e^+ e^-$ decay with and without the $\phi(1020)$ -- resonance contribution. We use the model of vector meson dominance (VMD) for calculation of resonances contributions and take into account all substantive terms in $\bar B_s \to \mu^+ \mu^- e^+ e^-$ amplitude that was not considered in the previously papers.