# Right-handed neutrinos: dark matter, lepton flavor violation and leptonic collider searches

## TL;DR

This paper explores how lepton flavor violation in heavy right-handed neutrinos can be detected through collider experiments, considering dark matter constraints and existing LFV process limits, to identify potential signatures at leptonic colliders.

## Contribution

It introduces a framework to analyze LFV interactions of right-handed neutrinos within models addressing dark matter and neutrino mass, and assesses their detectability at leptonic colliders.

## Key findings

- LFV interactions consistent with dark matter relic density are identifiable at colliders.
- Collider signatures depend on specific LFV final states and model parameters.
- Constraints from LFV processes limit the parameter space for collider detection.

## Abstract

We examine lepton flavor violating (LFV) interactions for heavy right-handed neutrinos that exist in most of the standard model extensions that address dark matter (DM) and neutrino mass at the loop level. In order to probe the collider effect of these LFV interactions, we impose the assumption that the model parameters give the right values of the DM relic density and fulfill the constraints from the LFV processes $\ell_{\alpha}\rightarrow\ell_{\beta}\gamma$ and $\ell_{\alpha}\rightarrow3\ell_{\beta}$. We also investigate the possibility of probing these interactions, and hence the right-handed neutrino, at leptonic colliders through different final state signatures.