Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry

Abstract

We construct two flavor models based on $S_4$ family symmetry and generalised CP symmetry. In both models, the $S_4$ family symmetry is broken down to the $Z_2^{SU}$ subgroup in the neutrino sector, as a consequence, the trimaximal ${\text{TM}}_1$ lepton mixing is produced. Depending on the free parameters in the flavon potential, the Dirac CP is predicted to be either conserved or maximally broken, and the Majorana CP phases are trivial. The two models differ in the neutrino sector. The flavon fields are involved in the Dirac mass terms at leading order in the first model, and the neutrino mass matrix contains three real parameters such that the absolute neutrino masses are fixed. Nevertheless, the flavon fields enter into the Majorana mass terms at leading order in the second model. The leading order lepton mixing is of the tri-bimaximal form which is broken down to ${\text{TM}}_1$ by the next to leading order contributions.

arXiv comment28 pages

References in corpus (62)

• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Neutrino Mass and Mixing with Discrete Symmetry
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Global status of neutrino oscillation parameters after Neutrino-2012
• Global fit to three neutrino mixing: critical look at present precision
• Status of three-neutrino oscillation parameters, circa 2013
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Reactor electron antineutrino disappearance in the Double Chooz experiment
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Finite Modular Groups and Lepton Mixing
• Spectral measurement of electron antineutrino oscillation amplitude and frequency at Daya Bay
• Neutrino Mixing and Quark-Lepton Complementarity
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Possible Alternatives to Tri-bimaximal Mixing
• CP and Discrete Flavour Symmetries
• Discrete Flavour Symmetries in Light of T2K
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• Automorphisms in Gauge Theories and the Definition of CP and P
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• The Simplest Neutrino Mass Matrix
• Minimal Modification to Tri-bimaximal Mixing
• Generalised CP and $A_4$ Family Symmetry
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• S_4 Flavored CP Symmetry for Neutrinos
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• A Grand Delta(96) x SU(5) Flavour Model
• Group Theoretical Origin of CP Violation
• Tri-bimaximal-Cabibbo Mixing
• A common origin of fermion mixing and geometrical CP violation, and its test through Higgs physics at the LHC
• Maximal CP violation in lepton mixing from a model with Delta(27) flavour symmetry
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Geometrical CP violation from non-renormalisable scalar potentials
• Geometrical CP Violation
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• mu-tau Interchange symmetry and lepton mixing
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Leptonic CP violation: zero, maximal or between the two extremes
• Flavour models for TM1 lepton mixing
• Simple two Parameter Description of Lepton Mixing
• Baseline optimization for the measurement of CP violation, mass hierarchy, and ${\theta }_{23}$ octant in a long-baseline neutrino oscillation experiment
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• Geometrical CP violation in multi-Higgs models
• Simplest Neutrino Mixing from S4 Symmetry
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• Geometrical CP violation in the N-Higgs-doublet model
• A new relation between quark and lepton mixing matrices
• Discrete symmetries, roots of unity, and lepton mixing
• Relations between quark and lepton mixing angles and matrices
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry

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• Classifying CP transformations according to their texture zeros: theory and implications
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Generalized CP and $\Delta (3n^2)$ Family Symmetry for Semi-Direct Predictions of the PMNS Matrix
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Realistic Tri-Bi-Maximal neutrino mixing
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
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• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• CP Symmetries as Guiding Posts: revamping tri-bi-maximal Mixing. Part II
• A New Littlest Seesaw Model
• Models of Neutrino Mass, Mixing and CP Violation
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• CP Symmetries as Guiding Posts: Revamping Tri-Bi-Maximal Mixing-I
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Flavour and CP symmetries in the inverse seesaw
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• Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
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• Renormalization group running triggered tri-resonant leptogenesis within neutrino flavor-symmetry models
• Rescuing leptogenesis in inverse seesaw models with the help of non-Abelian flavor symmetries
• Modular flavored dark matter
• CP-odd invariants for multi-Higgs models and applications with discrete symmetry
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Non-zero ${\theta }_{13}$ and leptonic CP phase with $A_4$ Symmetry