Neutrino mixing and the private Higgs model

Abstract

We extend the private Higgs scenario to account for charged lepton and neutrino masses by introducing a private Higgs field for each lepton family. We analyze a model in which neutrino Majorana masses are radiatively induced. Contrary to previous models, the neutrino mass scale $\ensuremath{\sim}{10}^{\ensuremath{-}2}\text{ }\text{ }\mathrm{eV}$ is naturally obtained without excessive fine-tuning. The model requires the introduction of $SU(2)$ singlet scalar fields, two charged and one neutral, ${h}^{+}$, ${k}^{++}$, and $\ensuremath{\varphi}$. We discuss a possible realization giving a normal neutrino mass hierarchy. Our model fits data and predicts a nonzero ${V}_{e3}$.