Paper detail

Contribution of heavy neutrinos to decay of standard-model-like Higgs boson $h\rightarrow μτ$ in a 3-3-1 model with additional gauge singlets

In the framework of the improved version of the 3-3-1 models with right-handed neutrinos, which is added to the Majorana neutrinos as new gauge singlets, the recent experimental neutrino oscillation data is completely explained through the inverse seesaw mechanism. We show that the major contributions to $Br(μ\rightarrow eγ)$ are derived from corrections at 1-loop order of heavy neutrinos and bosons. But, these contributions are sometimes mutually destructive, creating regions of parametric spaces where the experimental limits of $Br(μ\rightarrow eγ)$ are satisfied. In these regions, we find that $Br(τ\rightarrow μγ)$ can achieve values of $10 ^{- 10}$ and $Br(τ\rightarrow eγ)$ may even reach values of $10 ^{- 9}$ very close to the upper bound of the current experimental limits. Those are ideal areas to study lepton-flavor-violating decays of the standard- model- like Higgs boson ($h_1^0$). We also pointed out that the contributions of heavy neutrinos play an important role to change $Br(h_1^0\rightarrow μτ)$, this is presented through different forms of mass mixing matrices ($M_R$) of heavy neutrinos. When $M_R \sim diag(1,1,1)$, $Br(h_1^0\rightarrow μτ)$ can get a greater value than the cases $M_R \sim diag(1,2,3)$ and $M_R \sim diag(3,2,1)$ and the largest that $Br(h_1^0\rightarrow μτ)$ can reach is very close $10 ^{-3}$.