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

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

2001-02-16

arxiv.org/abs/hep-ph/0102215v2

Int.J.Mod.Phys. A16 (2001) 3923-3930

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1142/S0217751X01004979

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.

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