On the origin of neutrino flavour symmetry

Abstract

We study classes of models which are based on some discrete family symmetry which is completely broken such that the observed neutrino flavour symmetry emerges indirectly as an accidental symmetry. For such "indirect" models we discuss the D-term flavon vacuum alignments which are required for such an accidental flavour symmetry consistent with tri-bimaximal lepton mixing to emerge. We identify large classes of suitable discrete family symmetries, namely the $\Delta (3n^2)$ and $\Delta (6n^2)$ groups, together with other examples such as $Z_7⋊Z_3$. In such indirect models the implementation of the type I see-saw mechanism is straightforward using constrained sequential dominance. However the accidental neutrino flavour symmetry may be easily violated, for example leading to a large reactor angle, while maintaining accurately the tri-bimaximal solar and atmospheric predictions.

arXiv comment24 pages; version to be published in JHEP

References in corpus (67)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• The Unique Horizontal Symmetry of Leptons
• Tri-bimaximal Neutrino Mixing from Orbifolding
• A4 family symmetry and quark-lepton unification
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• A Model of Lepton Masses from a Warped Extra Dimension
• On Deviations from Bimaximal Neutrino Mixing
• Broken mu-tau Symmetry and Leptonic CP Violation
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• A4 See-Saw Models and Form Dominance
• Aspects of the Tetrahedral Neutrino Mass Matrix
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• The Flavor Group Delta(3n^2)
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Hybrid Seesaw Neutrino Masses with A_4 Family Symmetry
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Deviations from Tribimaximal Neutrino Mixing
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• The Flavor Group Delta(6n^2)
• Quark Masses and Mixing with A4 Family Symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• Simple Finite Non-Abelian Flavor Groups
• Nontrivial Correlation between the CKM and MNS Matrices
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• A new family symmetry for SO(10) GUTs
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• A Flavor Symmetry Model for Bilarge Leptonic Mixing and the Lepton Masses
• The Family Group in Grand Unified Theories
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Sequential Dominance
• Connecting Leptogenesis to CP Violation in Neutrino Mixings in a Tri-bimaximal Mixing model
• Minimal supergravity radiative effects on the tri-bimaximal neutrino mixing pattern
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Possible Deviation from the Tri-bimaximal Neutrino Mixing in a Seesaw Model
• Deviations from Tri-bimaximal Neutrino Mixing in Type-II Seesaw and Leptogenesis
• Perturbative Estimates of Lepton Mixing Angles in Unified Models
• Systematic analysis of finite family symmetry groups and their application to the lepton sector
• A dynamical approach to link low energy phases with leptogenesis
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model
• A bottom-up analysis of horizontal symmetry
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Tri-bimaximal Neutrino Mixing and CKM Matrix in a SU(5)x(d)T Model
• Neutrino Mass Models: circa 2008
• Models of Neutrino Masses and Mixings

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• Neutrino Mass and Mixing with Discrete Symmetry
• Neutrino Mass and Mixing: from Theory to Experiment
• Finite Modular Groups and Lepton Mixing
• Unified Models of Neutrinos, Flavour and CP Violation
• A review of mu-tau flavor symmetry in neutrino physics
• Trimaximal neutrino mixing from vacuum alignment in A4 and S4 models
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Lepton Mixing Predictions from Delta(6n^2) Family Symmetry
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• A Grand Delta(96) x SU(5) Flavour Model
• A4 models of tri-bimaximal-reactor mixing
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• Littlest Seesaw
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Testing atmospheric mixing sum rules at precision neutrino facilities
• A_4xSU(5) SUSY GUT of Flavour in 8d
• The minimal seesaw and leptogenesis models
• A Minimal Model of Neutrino Flavor
• T(13) Flavor Symmetry and Decaying Dark Matter
• Testing solar lepton mixing sum rules in neutrino oscillation experiments
• Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach
• Group Theory and Dynamics of Neutrino Mixing
• Solving the Flavour Problem in Supersymmetric Standard Models with Three Higgs Families
• Precision neutrino experiments vs the Littlest Seesaw
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Measurable Neutrino Mass Scale in A4 x SU(5)
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• The symmetry approach to quark and lepton masses and mixing
• Zeros in the magic neutrino mass matrix
• Quark mixing sum rules and the right unitarity triangle
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• On the Vanishing of the CP Asymmetry in Leptogenesis due to Form Dominance
• A to Z of Flavour with Pati-Salam
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Littlest Seesaw model from S4 x U(1)
• Spontaneous R-Parity Violation, $A_4$ Flavor Symmetry and Tribimaximal Mixing
• Lepton masses and mixing in a two-Higgs-doublet model
• Models of Neutrino Mass, Mixing and CP Violation
• Models for Neutrino Masses and Mixings
• Symmetry based parameterizations of the lepton mixing matrix
• Towards Minimal S4 Lepton Flavor Model
• New Interpretation of the Recent Result of AMS-02 and Multi-component Decaying Dark Matters with non-Abelian Discrete Flavor Symmetry
• Effective alignments as building blocks of flavour models
• Flavor Delta(54) in SU(5) SUSY Model
• Neutrino Mass and Flavour Models
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Neutrino mixing sum rules and the Littlest Seesaw
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Spontaneous R-parity violating type III seesaw
• Testing constrained sequential dominance models of neutrinos
• Neutrino Mass Models: Impact of non-zero reactor angle
• Residual Symmetries and Scalar Multiplet Vacuum Alignment in Non-Abelian Flavour Models
• Neutrino Mixing from $\Delta (6n^2)$ Groups
• Discrete Flavour Symmetries from the Heisenberg Group
• Gauge extension of non-Abelian discrete flavor symmetry
• Neutrino flavor mixing with approximate $\mu$-$\tau$ symmetry within the low-scale minimal linear seesaw model