Physical constraints derived from FCNC in the 3-3-1-1 model
Duy Nguyen Tuan (Graduate University of Science and Technology, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam, Institute of Physics, VAST, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam); Takeo Inami (Institute of Physics, VAST, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam, Theoretical Research Division, Nishina Center, RIKEN, Wako, 351-0198, Japan); Huong Do Thi (Institute of Physics, VAST, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam)
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, $$\text {M}_{\text {new}}>12 $$ 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 $$\mu \rightarrow e \gamma $$ .