Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry

Details Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry

2005-04-20

arxiv.org/abs/hep-ph/0504181v2

Nucl.Phys.B724:423-431,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, latex, 8 eps figures; typos corrected, clarifications and references added

Scientific paper

10.1016/j.nuclphysb.2005.07.012

We consider the scenario in which neutrino data are explained by the interplay of type I and II seesaw terms in the Majorana neutrino mass matrix ${\cal M}_\nu = {\cal M}_L - {\cal M}_D {\cal M}_R^{-1} {\cal M}_D^T$. We construct a predictive model with ${\cal M}_L$ proportional to the unit matrix, 3 diagonal texture zeros in ${\cal M}_R$, and ${\cal M}_D$ diagonal. We show how this pattern can be maintained by the non-Abelian discrete symmetry $A_4$, and discuss its phenomenological consequences. It turns out that the two types of seesaw give contributions of the same order to ${\cal M}_\nu$. In the CP conserving case, we find $\sin\theta_{13}\approx 2/(\tan 2\theta_{23} \tan 2\theta_{12})$ and we predict inverted (normal) ordering of the mass spectrum for $\tan^2\theta_{12} < 0.5 ~(>0.5)$.

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