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

Abstract

There are two sources that help to explain the ${\text{R}}_{\text{K}}$, ${\text{R}}_{{\text{K}}^{\ast }}$ anomalies in the MF331 model. The first is non-LFUV couplings of the new neutral gauge boson ${\text{Z}}^{\prime }$ with leptons, ${\text{g}}^{{\text{Z}}^{\prime }}(e)\ne {\text{g}}^{{\text{Z}}^{\prime }}(\mu ,\tau )$, which causes the ${\text{R}}_{\text{K}}$, ${\text{R}}_{{\text{K}}^{\ast }}$ anomalies via ${\text{Z}}^{\prime }$-penguin diagrams involving newly charged gauge bosons ${\text{X}}_{\mu }^{\pm }$, 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 ${\text{R}}_{\text{K}}$, ${\text{R}}_{{\text{K}}^{\ast }}$ anomalies, and that the box diagram is required. The experimental constraints for ${\text{R}}_{\text{K}}$ and ${\text{R}}_{{\text{K}}^{\ast }}$ 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.

25 pages, 7 figures

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