Soft $A_4\to Z_3$ Symmetry Breaking and Cobimaximal Neutrino Mixing

Abstract

I propose a model of radiative charged-lepton and neutrino masses with $A_4$ symmetry. The soft breaking of $A_4$ to $Z_3$ lepton triality is accomplished by dimension-three terms. The breaking of $Z_3$ by dimension-two terms allow cobimaximal neutrino mixing $({\theta }_{13}\ne 0,{\theta }_{23}=\pi /4,{\delta }_{CP}=\pm \pi /2)$ to be realized with only very small finite calculable deviations from the residual lepton triality. This construction solves a long-standing technical problem inherent in renormalizable $A_4$ models since their inception.

8 pages, 4 figures

References in corpus (7)

• Big-Bang Nucleosynthesis
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• S_4 Flavored CP Symmetry for Neutrinos
• Scotogenic Inverse Seesaw Model of Neutrino Mass
• Neutrino Mixing: $A_4$ Variations
• Probing Lepton Flavor Triality with Higgs Boson Decay
• Neutrino Mixing and CP Phase Correlations

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