Tri-bimaximal lepton mixing from symmetry only

Abstract

We construct a model for tri-bimaximal lepton mixing which employs only family symmetries and their soft breaking; neither vacuum alignment nor supersymmetry, extra dimensions, or non-renormalizable terms are used in our model. It is an extension of the Standard Model making use of the seesaw mechanism with five right-handed neutrino singlets. The scalar sector comprises four Higgs doublets and one complex gauge singlet. The horizontal symmetry of our model is based on the permutation group S_3 of the lepton families together with the three family lepton numbers--united this constitutes a symmetry group Delta(6\infty^2). The model makes no predictions for the neutrino masses.

16 pages, no figures; references added, section 3 supplemented by discussion of the group structure of the model

References in corpus (27)

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• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
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• Three-flavour neutrino oscillation update
• Global analysis of three-flavor neutrino masses and mixings
• Hints of theta_13>0 from global neutrino data analysis
• Effect of spatial structure on the evolution of cooperation
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Symmetry of Lepton Mixing
• The Flavor Group Delta(6n^2)
• S4 as a natural flavor symmetry for lepton mixing
• Generation of large flavor mixing from radiative corrections
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• Renormalization of the neutrino mass operators in the multi-Higgs-doublet Standard Model
• Lepton Flavor Model from Delta(54) Symmetry
• Seesaw model with softly broken L_e - L_μ- L_τ
• Large Neutrino Mixing from Renormalization Group Evolution
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• A three-parameter model for the neutrino mass matrix
• A three-parameter neutrino mass matrix with maximal CP violation
• Theory of the Neutrino Mass
• Renormalization group evolution of neutrino mixing parameters near ${\theta }_{13}=0$ and models with vanishing ${\theta }_{13}$ at the high scale

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• Deviations from Tri-Bimaximality and Quark-Lepton Complementarity
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• Hidden flavor symmetries of SO(10) GUT
• Theoretical Models of Neutrino Mixing: Recent Developments
• Leptonic CP Violation from a New Perspective
• Symmetries for the 4HDM: extensions of cyclic groups
• Double seesaw mechanism and lepton mixing
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Modulated bimaximal neutrino mixing
• Texture zeros in neutrino mass matrix
• Cascade Textures and SUSY SO(10) GUT