$\mu\to e\gamma$ in a supersymmetric radiative neutrino mass model

TL;DR

This paper explores a supersymmetric inert Higgs doublet model that generates neutrino masses at loop level and examines the constraints on right-handed neutrino masses from the decay $oldsymbol{ o eoldsymbol{}oldsymbol{}}$.

Contribution

It introduces a supersymmetric inert Higgs doublet model with loop-induced neutrino masses and analyzes the impact on $oldsymbol{ o eoldsymbol{}oldsymbol{}}$ decay constraints.

Findings

Neutrino masses can be fitted with unsuppressed Yukawa couplings.

Constraints on right-handed neutrino masses from $oldsymbol{ o eoldsymbol{}oldsymbol{}}$ decay.

Parameter tuning allows compatibility with experimental bounds.

Abstract

We have considered a supersymmetric version of the inert Higgs doublet model, whose motivation is to explain smallness of neutrino masses and existence of dark matter. In this supersymmetric model, due to the presence of discrete symmetries, neutrinos acquire masses at loop level. After computing these neutrino masses, in order to fit the neutrino oscillation data, we have shown that by tuning some supersymmetry breaking soft parameters of the model, neutrino Yukawa couplings can be unsuppressed. In the above mentioned parameter space, we have computed branching ratio of the decay $\mu\to e\gamma$. To be consistent with the current experimental upper bound on $Br(\mu\to e\gamma)$, we have obtained constraints on the right-handed neutrino mass of this model.