New physics in $\text{b} \rightarrow \text{s}$ transitions in the MF331 model

Abstract

There are two sources that help to explain the $\text{R}_\text{K}$, $\text{R}_{\text{K}^*}$ anomalies in the MF331 model. The first is non-LFUV couplings of the new neutral gauge boson $\text{Z}^{\prime}$ with leptons, $\text{g}^{\text{Z}^\prime}(e)\neq \text{g}^{\text{Z}^\prime}(\mu,\tau)$, which causes the $\text{R}_\text{K}$, $\text{R}_{\text{K}^*}$ anomalies via $\text{Z}^\prime$-penguin diagrams involving newly charged gauge bosons $\text{X}^{\pm}_{\mu}$, and exotic U-quarks. The box diagram's contribution is the second source, which induced only the first lepton generation. We show that the penguin diagrams can not explain $\text{R}_\text{K}$, $\text{R}_{\text{K}^*}$ anomalies, and that the box diagram is required. The experimental constraints for $\text{R}_\text{K}$ and $\text{R}_{\text{K}^*}$ result in new particle mass degeneracy. The contributions of NP to the branching ratios $\text{Br}(\text{B}\to \mu^+ \mu^-), \text{Br}(\text{b}\to s \gamma)$ predict results that agree with the experimental limits in the allowed region of the NP scale.