Implications of the Renormalization Group Equations in Three-Neutrino Models with Two-fold Degeneracy
Mu-Chun Chen, K. T. Mahanthappa
Abstract
We obtain a 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 |Ueν3|=0, are shown to lead to a strong cancellation in the matrix element of neutrinoless double beta decay.
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