TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry

Abstract

We perform a comprehensive analysis of the Toorop-Feruglio-Hagedorn (TFH) mixing patterns within the family symmetry $\Delta (96)$. The general neutrino mass matrix for the TFH mixing and its symmetry properties are investigated. The possible realizations of the TFH mixing in $\Delta (96)$ are analyzed in the minimalist approach. We propose two dynamical models which produce the TFH mixing patterns at leading order. The full flavor symmetries are $\Delta (96)\times Z_3\times Z_3$ and $\Delta (96)\times Z_5\times Z_2$ respectively. The next to leading order terms introduce corrections of order ${\lambda }_c^2$ to the three mixing angles in both models. The allowed mixing patterns are studied under the condition that the Klein four subgroups and the cyclic $Z_N$ subgroups with $N\ge 3$ are preserved in the neutrino and the charged lepton sector respectively. We suggest that the deformed tri-bimaximal mixing is a good leading order approximation to understanding a largish reactor angle.

43 pages, 2 figures

References in corpus (35)

• 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
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Finite Modular Groups and Lepton Mixing
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• Symmetry of Lepton Mixing
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• Discrete Flavour Symmetries in Light of T2K
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• The Flavor Group Delta(6n^2)
• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• A4 models of tri-bimaximal-reactor mixing
• Implications of a class of neutrino mass matrices with texture zeros for non-zero ${\theta }_{13}$
• Near Maximal Atmospheric Mixing in Neutrino Mass Matrices with Two Vanishing Minors
• Getting at large theta_13 with almost maximal theta_23 from tri-bimaximal mixing
• Group Theory and Dynamics of Neutrino Mixing
• Neutrino mixing matrices with relatively large ${\theta }_{13}$ and with texture one-zero
• Nonzero Theta13 for Neutrino Mixing in a Supersymmetric B-L Gauge Model with T_7 Lepton Flavor Symmetry
• Tetra-maximal Neutrino Mixing and Its Implications on Neutrino Oscillations and Collider Signatures
• A Model for Tri-bimaximal Mixing from a Completely Broken $A_4$
• Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices
• Neutrino masses generation in a Z_4 model
• Large theta_13 from a model with broken L_e-L_mu-L_tau symmetry
• Tri-Permuting Mixing Matrix and predictions for theta_13
• Large θ_13 from finite quantum corrections in quasi-degenerate neutrino mass spectrum
• Type II Seesaw Dominance in Non-supersymmetric and Split Susy SO(10) and Proton Life Time
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• $\sin {\theta }_{13}$ and neutrino mass matrix with an approximate flavor symmetry
• Leptonic $CP$ Violation and Leptogenesis in Minimal Supersymmetric SU(4)${}_c\times$SU(2)${}_L\times$SU(2)${}_R$

Cited by in corpus (46)

• Neutrino Mass and Mixing with Discrete Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• Lepton Mixing Predictions from Delta(6n^2) Family Symmetry
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• A Grand Delta(96) x SU(5) Flavour Model
• Tri-bimaximal-Cabibbo Mixing
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Generalised CP and $\Delta (96)$ Family Symmetry
• Non-zero ${\theta }_{13}$ and CP violation in a model with $A_4$ flavor symmetry
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions
• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Lepton and Quark Mixing Patterns from Finite Flavor Symmetries
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Discrete family symmetry, Higgs mediators and theta_{13}
• Lepton flavor at the electroweak scale: A complete A4 model
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• The symmetry approach to quark and lepton masses and mixing
• Lepton flavor models with discrete prediction of theta_{13}
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation
• Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
• Neutrino Mixing and Discrete Symmetries
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Generalized perturbations in neutrino mixing
• Flavon-induced connections between lepton flavour mixing and charged lepton flavour violation processes
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Study on perturbation schemes for achieving the real PMNS matrix from various symmetric textures
• Low-scale leptogenesis with flavour and CP symmetries
• Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment
• Constraining $A_4$ Leptonic Flavour Model Parameters at Colliders and Beyond
• Origin of Symmetric PMNS and CKM Matrices
• Predicting Neutrino Mixing Angles Using Group Presentations
• Neutrino Mixing from $\Delta (6n^2)$ Groups
• Connecting Tribimaximal and Bitrimaximal Mixings
• Lepton mixing patterns from combinations of elementary correlations