Lepton flavor violation in the Majorana and Dirac scotogenic models

TL;DR

This paper compares Majorana and Dirac scotogenic models, analyzing lepton flavor violation processes to identify potential experimental signatures and differences in decay rates.

Contribution

It provides a detailed comparison of LFV processes in both models, highlighting differences in 3-body decay contributions and potential observable branching ratios.

Findings

-body LFV decays differ between models.

 ext{-}muon decay branching ratio up to 10^{-10} in Majorana model.

 ext{-}muon decay branching ratio up to 10^{-11} in Dirac model.

Abstract

In this work we have considered two minimal versions of scotogenic models, where neutrinos acquire masses through a radiative mechanism. We call these two models as Majorana and Dirac scotogenic models. In the former model, neutrinos have Majorana nature, and in the later one, neutrinos are Dirac particles. These two models are related to each other in terms of additional fields and symmetries of the model. Hence, to compare these two models in future experiments, we have analyzed lepton flavor violating (LFV) processes in both of them, in the charged lepton sector. We have found that the 3-body LFV decays in both these models can get different contributions. Among all the LFV decays and after satisfying relevant constraints, we have found that $\tau\to3\mu$ can have a branching ratio as high as $10^{-10}(10^{-11})$ in the Majorana(Dirac) scotogenic model.