Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix

Details Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix

2002-06-28

arxiv.org/abs/hep-ph/0206292v1

Phys.Lett.B552:207-213,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages including 2 figures

Scientific paper

10.1016/S0370-2693(02)03153-2

The discrete non-Abelian symmetry $A_4$, valid at some high-energy scale, naturally leads to degenerate neutrino masses, without spoiling the hierarchy of charged-lepton masses. Realistic neutrino mass splittings and mixing angles (one of which is necessarily maximal and the other large) are then induced radiatively in the context of softly broken supersymmetry. The quark mixing matrix is also calculable in a similar way. The mixing parameter $U_{e3}$ is predicted to be imaginary, leading to maximal CP violation in neutrino oscillations. Neutrinoless double beta decay and $\tau \to \mu \gamma$ should be in the experimentally accessible range.

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