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

Abstract

Abstract In the framework of the improved version of the 3-3-1 models with right-handed neutrinos, which are 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 $Br(\mu\rightarrow e\gamma)$ are derived from corrections at one-loop order of heavy neutrinos and bosons. But, these contributions are sometimes mutually destructive, creating regions of parametric spaces where the experimental limits of $Br(\mu\rightarrow e\gamma)$ are satisfied. In these regions, we find that $Br(\tau\rightarrow \mu\gamma)$ can achieve values of $10 ^{- 10}$ and $Br(\tau\rightarrow e\gamma)$ 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 point out that the contributions of heavy neutrinos play an important role in changing $Br(h_1^0\rightarrow \mu\tau)$; this is presented through different forms of mass mixing matrices ($M_R$) of heavy neutrinos. When $M_R \sim \mathrm{diag}(1,1,1)$, $Br(h_1^0\rightarrow \mu\tau)$ can attain a greater value than in the cases $M_R \sim \mathrm{diag}(1,2,3)$ and $M_R \sim \mathrm{diag}(3,2,1)$; the largest that $Br(h_1^0\rightarrow \mu\tau)$ can reach is very close $10 ^{-3}$.