Transformative A_4 Mixing of Neutrinos with CP Violation

Abstract

A new theoretical insight into the pattern of neutrino mixing and leptonic $CP$ violation is presented. It leads naturally and uniquely to a specific dark sector of three real neutral scalar singlets, with the radiative implementation of the inverse seesaw mechanism for neutrino mass. The new simple but crucial enabling idea is that a familiar $A_4$ transformation turns any orthogonal $3\times 3$ matrix into one which predicts ${\theta }_{23}=\pi /4$ and ${\delta }_{CP}=\pm \pi /2$ for the neutrino mixing matrix, in good agreement with present data.

11 pages, 2 figures, version to appear in PRD(RC)

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• $A_4$ and CP symmetry and a model with maximal CP violation
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Radiatively induced Quark and Lepton Mass Model
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• An $SU(2{)}_L$ Septet Scalar Linking to Radiative Neutrino Model
• Two-loop Neutrino Model with Exotic Leptons
• Verifiable Associated Processes from Radiative Lepton Masses with Dark Matter
• Loop suppressed light fermion masses with $U(1{)}_R$ gauge symmetry
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• Cobimaximal Neutrino Mixing from $A_4$ and its Possible Deviation
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Two-loop Induced Majorana Neutrino Mass in a Radiatively Induced Quark and Lepton Mass Model
• Loop induced type-II seesaw model and GeV dark matter with $U(1{)}_{B-L}$ gauge symmetry
• $\mu -\tau$ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model
• Radiative Mixing of the One Higgs Boson and Emergent Self-Interacting Dark Matter
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