Cubic Mass Relation in $\mathrm{SU}(3)\times \mathrm{U}(1)$ Electroweak Theory

Abstract

In the 331 model, lepton number may be explicitly broken by trilinear scalar self couplings. This leads to neutrino masses proportional to the cube of the corresponding charged lepton mass, with consequences for solar neutrinos and for hot dark matter.

Comments: 12 pages (3 figures appended to RevTeX file), IFP-465-UNC