Lepton Private Higgs and the discrete group image Original Research Article

We use the discrete group image to explore a particular region of parameter space in the Private Higgs model. In doing so we suggest a relation among the off-diagonal entries of the neutrino mass matrix and a possible explanation for the muon magnetic moment anomaly, image. We predict three new nearly degenerate Higgs doublets with masses of order image to image, and three nearly degenerate SM-singlet TeV-scale neutrinos. The largest scale in the model is image, so there is no severe hierarchy problem. Appendix A is devoted to the group theory of image.