Physical constraints derived from FCNC in the 3-3-1-1 model

Abstract

We investigate several phenomena related to FCNCs in the $\text{3-3-1-1}$ model. The sources of FCNCs at the tree-level from both the gauge and Higgs sectors are clarified. Experiments on the oscillation of mesons most stringently constrain the tree-level FCNCs. The lower bound on the new physics scale is imposed more tightly than in the previous, $\text{M}_{\text{new}}>12 $ \text{TeV}. Under this bound, the tree-level FCNCs make a negligible contribution to the $\text{Br}(B_s \rightarrow \mu^+ \mu^-)$, $\text{Br}(B \rightarrow K^{*} \mu^+ \mu^-)$ and $\text{Br}(B^{+}\rightarrow K^{+}\mu^{+}\mu^{-})$. The branching ratio of radiative decay $b \rightarrow s \gamma$ is enhanced by the ratio $\frac{v}{u}$ via diagrams with the charged Higgs mediation. In contrast, the charged currents of new gauge bosons significantly contribute to the decay process $\mu \rightarrow e \gamma$.