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

Mu-Chun Chen·K. T. Mahanthappa
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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 $|U_{eν_{3}}|=0$, are shown to lead to a strong cancellation in the matrix element of neutrinoless double beta decay.

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Mu-Chun Chen, K. T. Mahanthappa. 2001-05-09. Implications of the Renormalization Group Equations in Three-Neutrino Models with Two-fold Degeneracy. https://doi.org/10.1142/s0217751x01004979

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