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 $Z\to {\ell }_{\alpha }{\ell }_{\beta }$ and $H\to {\ell }_{\alpha }{\ell }_{\beta }$ in this model. Here, ${\ell }_{\alpha }$ and ${\ell }_{\beta }$ 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 $\sim 10^{-8}$ and $\sim 10^{-3}$ respectively. However, after satisfying the constraints due to non-observation of ${\ell }_{\alpha }\to {\ell }_{\beta }\gamma$ decays, the above mentioned branching ratio results are found to be suppressed by a factor of $\sim 10^{-7}$.

Comments: 25 pages, 8 figures, minor changes; published in EPJC