Lepton Flavor Violating $\tau$ Decays in TeV Scale Type I See-Saw and Higgs Triplet Models

TL;DR

This paper analyzes lepton flavor violating tau decays within TeV scale see-saw and Higgs triplet models, predicting decay rates and assessing experimental observability considering existing bounds.

Contribution

It provides new predictions for LFV tau decay rates in specific models and examines their compatibility with current experimental limits and future detection prospects.

Findings

Predicted tau decay rates within the models.

Constraints from muon decay bounds.

Potential for observing LFV tau decays in future experiments.

Abstract

The lepton flavour violating (LFV) $\tau$ decays $\tau\to (e,\mu)\gamma$ and $\tau\to 3\mu$ are investigated in the frameworks of the TeV scale type I see-saw and Higgs Triplet (or type II see-saw) models. Predictions for the rates of these processes are obtained. The implications of the existing stringent experimental upper bounds on the $\mu\to e + \gamma$ and $\mu\to 3e$ decay branching ratios for the predictions of the $\tau\to (e,\mu)\gamma$ and $\tau\to 3\mu$ decay rates are studied in detail. The possibilities to observe the indicated LFV $\tau$ decays in present and future experiments are analysed.