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 $\text{Br}(B_s\to {\mu }^{+}{\mu }^{-})$, $\text{Br}(B\to K^{\ast }{\mu }^{+}{\mu }^{-})$ and $\text{Br}(B^{+}\to K^{+}{\mu }^{+}{\mu }^{-})$. The branching ratio of radiative decay $b\to s\gamma$ 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 $\mu \to e\gamma$.

arXiv comment29 pages, 7 figures

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