Simple renormalizable flavor symmetry for neutrino oscillations

2012/07/31 by Y. H. Ahn, Seungwon Baek, Paolo Gondolo · 5 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.86.053004

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

arxiv created 2012/09/07 · openalex publication_date 2012/09/10 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The recent measurement of a nonzero neutrino mixing angle \ensuremathθ₁₃ 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 A₄ flavor symmetry and a type-I seesaw mechanism. Our model allows for approximate tri-bimaximal mixing and nonzero \ensuremathθ₁₃, and contains a natural way to implement low- and high-energy CP violations in neutrino oscillations, and leptogenesis with a renormalizable Lagrangian. Both normal and inverted mass hierarchies are permitted within 3\ensuremathσ 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\ensuremathσ 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\ensuremath\lesssim|m_ee|\ensuremath\lesssim0.15 eV for the normal hierarchy and 0.06\ensuremath\lesssim|m_ee|\ensuremath\lesssim0.11 eV for the inverted hierarchy, both of which are within the sensitivity of the next generation experiments.

Citations

• Symmetries and generalisations of tri-bimaximal neutrino mixing
• Electroweak-scale resonant leptogenesis
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Nearly tri-bimaximal neutrino mixing and CP violation
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• A4flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Tri-bimaximal neutrino mixing from orbifolding
• Review of Particle Physics

Cited by

• Spontaneous CP Violation in A₄ Flavor Symmetry and Leptogenesis
• A dynamical CP source for CKM, PMNS and Leptogenesis
• Leptons and quarks from a discrete flavor symmetry
• TeV-scale resonant leptogenesis with new scaling ansatz on neutrino Dirac mass matrix from A4 flavor symmetry
• Simplest neutrino mixing from S 4 symmetry

Related

• Neutrino Mixing Phenomenology: A₄ Discrete Flavor Symmetry with Type-I Seesaw Mechanism
• Neutrino mixing with non-zero θ₁₃ and CP violation in the 3-3-1 model based on A₄ flavor symmetry
• Neutrino mixing with nonzero θ13 and CP violation in the 3-3-1 model based on S4 flavor symmetry
• Neutrino Mixing and Resonant Leptogenesis in Inverse Seesaw and Δ(54) Flavor Symmetry
• Neutrino model with broken μ-τ Symmetry and Unflavored Leptogenesis with Dihedral Flavor Symmetry