Lepton Flavor Violation in the Inert Scalar Model with Higher Representations

TL;DR

This paper explores lepton flavor violation in generalized inert scalar models with higher SU(2) representations, showing that larger representations lead to increased LFV rates and tighter experimental constraints.

Contribution

It extends the inert scalar model to higher SU(2) representations and compares LFV rates, revealing enhanced signals and constraints in these extended models.

Findings

LFV rates are larger in higher representation models.

Extended models face stricter experimental bounds.

Future experiments can better probe these models.

Abstract

We investigate the lepton flavor violation (LFV) in the inert scalar model with higher representations. We generalize the inert doublet model with right handed neutrino by using higher scalar and fermion representation of $SU(2)_{L}$. As the generalized model and the inert doublet model have the same parameter space, we compare the rates of $\mu\rightarrow e\gamma$, $\mu\rightarrow ee\overline{e}$ and $\mu-e$ conversion in nuclei in the doublet and its immediate extension, the quartet model. We show that the corresponding rates are larger in the case of higher representation compared to the Inert doublet for the same region of parameter space. This implies that such extended models are more constrained by current LFV bounds and will have better prospects in future experiments.