Rare Decays of Neutral B Mesons into Four Charged Leptons in the Standard Model

Abstract

As part of the Standard Model (SM), we present new theoretical predictions for the branching ratio and differential distributions for the ${{\bar {B}}_{d}} \to {{\mu }^{ + }}{{\mu }^{ - }}{{e}^{ + }}{{e}^{ - }}$ decay. We take into consideration the contributions ${{\rho }^{0}}(770)$ and $\omega (782)$ of resonances; the main contributions of four charmonium resonances: $\psi (3770)$, $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$; the contributions of the tails from ${J \mathord{\left/ {\vphantom {J \psi }} \right. \kern-0em} \psi }$ and $\psi (2S)$ resonances; and the nonresonant contribution of the $b{\kern 1pt} \bar {b}$ pairs, bremsstrahlung, and the contribution of the weak annihilation. We use the model of vector meson dominance (VMD) for calculating resonances contributions.