Lepton flavor violation in the Littlest Higgs Model with T parity realizing an inverse seesaw

TL;DR

This paper investigates lepton flavor violation in an extended Littlest Higgs Model with T parity incorporating an inverse seesaw mechanism, predicting observable LFV rates close to current experimental bounds.

Contribution

It introduces a novel inverse seesaw implementation in the LHT model, leading to distinctive LFV predictions and correlations that differ from traditional models.

Findings

LFV decay rates are near current experimental limits.

Predicted rates for $ au$ and $ ext{mu}$ processes are within two orders of magnitude of bounds.

Unique correlations among LFV modes distinguish this model from others.

Abstract

We study lepton flavor violation (LFV) within the Littlest Higgs Model with T parity (LHT) realizing an inverse seesaw (ISS) mechanism of type I. With respect to the traditional LHT, there appear new $\mathcal{O}$(\textcolor{black}{10} TeV) Majorana neutrinos, driving LFV. For $\tau\to\ell\ell'\bar{\ell}"$ (including wrong-sign, $\ell=e, \mu$) decays and $\mu\to e$ conversion in Ti, we get typical rates only one order of magnitude below present bounds ($\ell\to\ell'\gamma$ can reach the current upper limit) and for $Z\to\bar{\tau}\ell$, $\mu\to e e \bar{e}$ and conversion in Au, results are within two orders of magnitude from present limits. Correlations among modes are drastically different to the traditional LHT and other models, which would ease the confrontation of this scenario to eventual measurements of LFV processes involving charged leptons.