The T7 flavor symmetry in 3-3-1 model with neutral leptons

Abstract

We construct a 3-3-1 model based on non-Abelian discrete symmetry $T_7$ responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets $\underline{3}$ and ${\underline{3}}^{\ast }$ under $T_7$. The flavor mixing patterns and mass splitting are obtained without perturbation. The tribimaximal form obtained with the breaking $T_7\to Z_3$ in charged lepton sector and both $T_7\to Z_3$ and $Z_3\to \{\mathrm{Identity}\}$ must be taken place in neutrino sector but only apart in breakings $Z_3\to \{\mathrm{Identity}\}$ (without contribution of $\si'$), and the upper bound on neutrino mass ${\sum }_{i=1}^3{m}_i$ at the level is presented. The Dirac CP violation phase $\delta$ is predicted to either $\frac{\pi }{2}$ or $\frac{3\pi }{2}$ which is maximal CP violation. From the Dirac CP violation phase we obtain the relation between Euler's angles which is consistent with the experimental in PDG 2012. On the other hand, the realistic lepton mixing can be obtained if both the direction for breakings $T_7\to Z_3$ and $Z_3\to \{\mathrm{Identity}\}$ are taken place in neutrino sectors. The CKM matrix is the identity matrix at the tree-level.

39 pages, 16 figures. arXiv admin note: substantial text overlap with arXiv:1312.5034; and text overlap with arXiv:1304.0921, arXiv:1306.4138, arXiv:1311.6729, arXiv:1310.4614 by other authors

References in corpus (32)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Stringy origin of non-Abelian discrete flavor symmetries
• 331 models facing new b -> s mu^+ mu^- data
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Symmetry of Lepton Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• (Non-)Abelian discrete anomalies
• A SUSY A4 model for fermion masses and mixings
• Flavor Symmetry for Quarks and Leptons
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• Golden Ratio Prediction for Solar Neutrino Mixing
• The 3-3-1 model with S_4 flavor symmetry
• Simple Finite Non-Abelian Flavor Groups
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• S_3 Symmetry and Neutrino Masses and Mixings
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• A_4 model for the quark mass matrices
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• An approach to permutation symmetry for the electroweak theory
• Fritzsch neutrino mass matrix from S3 symmetry
• Nearly tri-bimaximal mixing in the S_3 flavour symmetry
• A prediction of neutrino mixing matrix with CP violating phase
• Neutrino CP violating parameters from nontrivial quark-lepton correlation: a S3xGUT model
• An A_5 Model of Four Lepton Generations
• Broken $S_3$ Symmetry in Flavor Physics
• Quintics with Finite Simple Symmetries

Cited by in corpus (20)

• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• Relating quarks and leptons with the T7 flavour group
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• Small neutrino masses and gauge coupling unification
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Lepton number violation in 331 models
• A 3-3-1 model with low scale seesaw mechanisms
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• Quark mass and mixing in the 3-3-1 model with neutral leptons based on $D_4$ flavor symmetry
• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• A minimal inverse seesaw model with $S_4$ flavour symmetry
• Symmetries for the 4HDM: extensions of cyclic groups
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism