Lepton Flavor Model from Delta(54) Symmetry

Abstract

We present the lepton flavor model with $\Delta (54)$, which appears typically in heterotic string models on the $T^2/Z_3$ orbifold. Our model reproduces the tri-bimaximal mixing in the parameter region around degenerate neutrino masses or two massless neutrinos. We predict the deviation from the tri-bimaximal mixing by putting the experimental data of neutrino masses in the normal hierarchy of neutrino masses. The upper bound of ${\sin }^2{\theta }_{13}$ is 0.01. There is the strong correlation between ${\theta }_{23}$ and ${\theta }_{13}$. Unless ${\theta }_{23}$ is deviated from the maximal mixing considerably, ${\theta }_{13}$ remains to be tiny.

19 pages, 7 figures; some discussions are modified

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Cited by in corpus (35)

• Neutrino Mass and Mixing: from Theory to Experiment
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Eclectic Flavor Groups
• A new family symmetry for SO(10) GUTs
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model
• Tri-bimaximal lepton mixing from symmetry only
• Principal series of finite subgroups of SU(3)
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• On the finite subgroups of U(3) of order smaller than 512
• Flavor structure from magnetic fluxes and non-Abelian Wilson lines
• Predictive Discrete Dark Matter Model
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Resonant Dirac leptogenesis on throats
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Delta(54) Flavor Model for Leptons and Sleptons
• Fermion masses and mixing in $\Delta (27)$ flavour model
• FCNC and CP Violation Observables in a SU(3)-flavoured MSSM
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Delta(54) flavor phenomenology and strings
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• Towards Minimal S4 Lepton Flavor Model
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• GIMPs from Extra Dimensions
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Non-zero ${\theta }_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_3$ Flavor Symmetry Model
• Modulated bimaximal neutrino mixing
• Flavor's Delight
• Phenomenological Implications of $\mathbf{\Delta }(54)$ Flavor Symmetry with Triple Inverse Seesaw
• Gauge extension of non-Abelian discrete flavor symmetry