Lepton flavor violating Z and Higgs decays in the scotogenic model

Abstract

In this work, we have studied lepton flavor violating (LFV) decays of Z gauge boson and Higgs boson (H) in the scotogenic model. We have computed branching ratios for the decays $$Z\rightarrow \ell _\alpha \ell _\beta $$ Z → ℓ α ℓ β and $$H\rightarrow \ell _\alpha \ell _\beta $$ H → ℓ α ℓ β in this model. Here, $$\ell _\alpha $$ ℓ α and $$\ell _\beta $$ ℓ β are different charged lepton fields. After fitting to the neutrino oscillation observables in the scotogenic model, we have found that the branching ratios for the LFV decays of Z and H can be as large as $$\sim 10^{-8}$$ ∼ 10 - 8 and $$\sim 10^{-3}$$ ∼ 10 - 3 respectively. However, after satisfying the constraints due to non-observation of $$\ell _\alpha \rightarrow \ell _\beta \gamma $$ ℓ α → ℓ β γ decays, the above mentioned branching ratio results are found to be suppressed by a factor of $$\sim 10^{-7}$$ ∼ 10 - 7 .