Generalized CP symmetries in Delta(27) flavor models

Abstract

We classify explicitly all the possible generalized CP (GCP) symmetries that are definable in $\Delta (27)$ flavor models. In total, only 12 transformations are possible. We also show interesting consequences of considering some of them as residual symmetries of the neutrino sector.

16 pages. Comment on independent consistency condition. To appear in PRD

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Cited by in corpus (59)

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• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Generalised CP and $\Delta (96)$ Family Symmetry
• Trimaximal $\mu$-$\tau$ reflection symmetry
• Origin of Constrained Maximal CP Violation in Flavor Symmetry
• Implications of $\mu -\tau$ Flavored CP Symmetry of Leptons
• CP Symmetry and Symplectic Modular Invariance
• Mixing Patterns from the Groups Sigma (n phi)
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• $S_3$ discrete group as a source of the quark mass and mixing pattern in $331$ models
• A predictive $331$ model with $A_4$ flavour symmetry
• The first $\Delta (27)$ flavor 3-3-1 model with low scale seesaw mechanism
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism
• Invariant approach to CP in unbroken $\Delta (27)$
• Invariant approach to CP in family symmetry models
• A 3-3-1 model with low scale seesaw mechanisms
• Symmetries of symmetries and geometrical CP violation
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Littlest Inverse Seesaw Model
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• Towards realistic models of quark masses with geometrical CP violation
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Mu-tau reflection symmetry with a high scale texture-zero
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• Minima of multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
• $\Delta (27)$ framework for cobimaximal neutrino mixing models
• A new and trivial CP symmetry for extended $A_4$ flavor
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
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• Muon anomalies and the $SU(5)$ Yukawa relations
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• GAP listing of the finite subgroups of U(3) of order smaller than 2000
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations
• 3HDM with $\Delta (27)$ symmetry and its phenomenological consequences
• CP and other Symmetries of Symmetries
• Almost exact diagonal reflection symmetries and three-zero texture
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Leptonic CP Violation Phases, Quark-Lepton Similarity and Seesaw Mechanism
• Adding CP to flavour symmetries
• Diagonal reflection symmetries and universal four-zero texture
• Neutrino Parameters from Reactor and Accelerator Neutrino Experiments
• Asymmetric particle-antiparticle Dirac equation: second quantization
• Asymmetric particle-antiparticle Dirac equation: first quantization
• CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration
• A minimal axion model for mass matrices with five texture-zeros
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry