Neutrino Mixing: $A_4$ Variations

Abstract

In the context of the non-Abelian discrete symmetry $A_4$, the neutrino mass matrix has been studied extensively. A brief update is presented to focus on the conceptual shift from tribimaximal mixing (${\theta }_{13}=0$, ${\theta }_{23}=\pi /4$, ${\tan }^2{\theta }_{12}=1/2$) to $\underline{\mathrm{cobimaximal}}$ mixing (${\theta }_{13}\ne 0$, ${\theta }_{23}=\pi /4$, ${\delta }_{CP}=\pm \pi /2$) which agrees well with present data. Three specific realistic examples are proposed, two with three and the third with just two parameters.

9 pages, no figure, version to appear in PLB

References in corpus (5)

• Big-Bang Nucleosynthesis
• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• 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

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• $\Delta (27)$ framework for cobimaximal neutrino mixing models
• Consequences of $\mu -\tau$ Reflection Symmetry at DUNE
• Cobimaximal Neutrino Mixing from $A_4$ and its Possible Deviation
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• Scotogenic model for co-bimaximal mixing
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• Deviations to $\mu -\tau$ symmetry in a cobimaximal scenario
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• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Dirac Neutrino Mass Matrix and its Link to Freeze-in Dark Matter
• Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing
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• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
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• Ameliorating the popular lepton mixings with A4 symmetry: A see-saw model for realistic neutrino masses and mixing
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• Two-Higgs-Doublet Models with a Flavored ${\mathbb{Z}}_2$
• A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry
• Scotogenic $A_5\to A_4$ Dirac Neutrinos with Freeze-In Dark Matter
• A lepton model with nearly Cobimaximal mixing
• Non-zero ${\theta }_{13}$ and leptonic CP phase with $A_4$ Symmetry
• Approximate magic symmetry in a cobimaximal scenario of Majorana neutrinos
• A radiative Type-II seesaw model with broken Symmetry Ansatz