Lepton flavor violation within the Simplest Little Higgs model

TL;DR

This paper thoroughly investigates lepton flavor violation processes in the Simplest Little Higgs model, highlighting potential experimental signals and discussing tensions with electroweak precision data due to custodial symmetry violation.

Contribution

It provides the first comprehensive analysis of lepton flavor violation signals within this specific model, including predictions for various decay processes and conversions.

Findings

Potential signals in $ ext{mu} o e$ conversion and decays

Tau sector processes can discriminate the model

Model faces tension with electroweak data due to custodial symmetry issues

Abstract

We carry out an exhaustive analysis of lepton flavor violating processes within the Simplest Little Higgs model. Its discovery could be expected from either $\mu\to e$ conversion in nuclei, $\mu\to e\gamma$ or $\mu\to3e$ decays. Then, the tau sector could help discriminating this model not only via $\tau\to\ell\gamma$ ($\ell=\mu,e$) and $\tau\to3\ell$ decays, but also by means of $\ell\to\tau$ conversion in nuclei, which is promising in this respect. Although the model violates slightly custodial symmetry, acommodating the recent CDF $M_W$ measurement is in tension with electroweak precision data.