Lepton flavor violation in the Simplest Little Higgs model

Little Higgs Models are a possible elegant solution to the hierarchy problem on the Higgs mass. As they predict naturally small deviations with respect to SM results, they are in agreement with all current experimental data. In this contribution, we review lepton flavor violation in the Simplest Little Higgs model focusing on semileptonic lepton flavor violating tau decays (where some new results are presented) and $H\to \mathrm{\ell }{\mathrm{\ell }}^{\mathrm{\prime }}$. Within this model, the most promising decay channels for discovering lepton flavor violation are $\mu \to e$ conversion in nuclei, $\mu \to e{\gamma }^{(\ast )}$, $\tau \to (e\mathrm{/}\mu )\gamma$ and $\tau \to (e\mathrm{/}\mu )({\pi }^{+}{\pi }^{-}\mathrm{/}\rho )$.