New model for the neutrino mass matrix
Abstract
I suggest a model based on a softly broken symmetry Le - Lmu - Ltau and on Babu's mechanism for two-loops radiative generation of the neutrino masses. The model predicts that one of the physical neutrinos (nu3) is massless and that its component along the nue direction (Ue3) is zero. Moreover, if the soft-breaking term is assumed to be very small, then the vacuum oscillations of nue have almost maximal amplitude and solve the solar-neutrino problem. New scalars are predicted in the 10 TeV energy range, and a breakdown of e-mu-tau universality should not be far from existing experimental bounds.
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