Simple renormalizable flavor symmetry for neutrino oscillations

Abstract

The recent measurement of a non-zero neutrino mixing angle ${\theta }_{13}$ requires a modification of the tri-bimaximal mixing pattern that predicts a zero value for it. We propose a new neutrino mixing pattern based on a spontaneously-broken $A_4$ flavor symmetry and a type-I seesaw mechanism. Our model allows for approximate tri-bimaximal mixing and non-zero ${\theta }_{13}$, and contains a natural way to implement low and high energy CP violation in neutrino oscillations, and leptogenesis with a renormalizable Lagrangian. Both normal and inverted mass hierarchies are permitted within $3\sigma$ experimental bounds, with the prediction of small (large) deviations from maximality in the atmospheric mixing angle for the normal (inverted) case. Interestingly, we show that the inverted case is excluded by the global analysis in $1\sigma$ experimental bounds, while the most recent MINOS data seem to favor the inverted case. Our model make predictions for the Dirac CP phase in the normal and inverted hierarchies, which can be tested in near-future neutrino oscillation experiments. Our model also predicts the effective mass $|m_{ee}|$ measurable in neutrinoless double beta decay to be in the range $0.04\lesssim |m_{ee}|\lesssim 0.15$ eV for the normal hierarchy and $0.06\lesssim |m_{ee}|\lesssim 0.11$ eV for the inverted hierarchy, both of which are within the sensitivity of the next generation experiments.

29 pages and 10 figures. No corrections. Version for Phys. Rev. D

References in corpus (6)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• CP Violation and Neutrino Oscillations
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis

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• Lepton flavor at the electroweak scale: A complete A4 model
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• Discrete symmetries, roots of unity, and lepton mixing
• Neutrino Mixing and Discrete Symmetries
• Towards a realistic model of quarks and leptons, leptonic CP violation and neutrinoless $\beta \beta$-decay
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• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry