Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry

Abstract

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 ${\mathcal{M}}_{\nu }={\mathcal{M}}_L-{\mathcal{M}}_D{\mathcal{M}}_R^{-1}{\mathcal{M}}_D^T$. We construct a predictive model with ${\mathcal{M}}_L$ proportional to the unit matrix, 3 diagonal texture zeros in ${\mathcal{M}}_R$, and ${\mathcal{M}}_D$ 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 ${\mathcal{M}}_{\nu }$. 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 ${\tan }^2{\theta }_{12}<0.5(>0.5)$.

arXiv comment13 pages, latex, 8 eps figures; typos corrected, clarifications and references added

References in corpus (13)

• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• Zeroes of the Neutrino Mass Matrix
• A_4 Symmetry and Neutrinos with Very Different Masses
• Plato's Fire and the Neutrino Mass Matrix
• The All-Purpose Neutrino Mass Matrix
• Zeros of the inverted neutrino mass matrix
• See-Saw Realization of the Texture Zeros in the Neutrino Mass Matrix
• From Hierarchical to Partially Degenerate Neutrinos via Type II Upgrade of Type I See-Saw Models
• Natural Maximal ny_my - ny_tau Mixing
• Flavor Democracy and Type-II Seesaw Realization of Bilarge Neutrino Mixing
• Smallness of Leptonic ${\theta }_{13}$ and Discrete Symmetry

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