Implications of the Renormalization Group Equations in Three-Neutrino Models with Two-fold Degeneracy

Abstract

We obtain a {\it complete set} of one-loop RGE's for a set of combinations of neutrino parameters for the case of two-fold degenerate hierarchical three-neutrino models. The requirement of consistency of exact solutions to these RGE's with the two-fold degeneracy yields conditions which have previously been obtained perturbatively/numerically. These conditions, in the limit $|U_{e{\nu }_3}|=0$, are shown to lead to a strong cancellation in the matrix element of neutrinoless double beta decay.

Comments: 10 pages; RevTeX; 3 eps figures; minor typos corrected; one reference added