Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries

Abstract

We discussed the scenario that a discrete flavor group combined with CP symmetry is broken to $Z_2\times CP$ in both neutrino and charged lepton sectors. All lepton mixing angles and CP violation phases are predicted to depend on two free parameters ${\theta }_l$ and ${\theta }_{\nu }$ varying in the range of $[0,\pi )$. As an example, we comprehensively study the lepton mixing patterns which can be derived from the flavor group $\Delta (6n^2)$ and CP symmetry. Three kinds of phenomenologically viable lepton mixing matrices are obtained up to row and column permutations. We further extend this approach to the quark sector. The precisely measured quark mixing angles and CP invariant can be accommodated for certain values of the free parameters ${\theta }_u$ and ${\theta }_d$. A simultaneous description of quark and lepton flavor mixing structures can be achieved from a common flavor group $\Delta (6n^2)$ and CP, and accordingly the smallest value of the group index $n$ is $n=7$.

40 pages, 8 figures

References in corpus (20)

• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Neutrino oscillations refitted
• Global constraints on absolute neutrino masses and their ordering
• Symmetry of Lepton Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• The Flavor Group Delta(6n^2)
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Discrete symmetries and model-independent patterns of lepton mixing
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Classification of lepton mixing matrices from finite residual symmetries
• Lepton Flavor Mixing and CP Symmetry
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Testing solar lepton mixing sum rules in neutrino oscillation experiments
• $A_4$ and CP symmetry and a model with maximal CP violation
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos

Cited by in corpus (17)

• Neutrino Masses and Mixing from Double Covering of Finite Modular Groups
• Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Finite Family Groups for Fermionic and Leptoquark Mixing Patterns
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• A New Littlest Seesaw Model
• Neutrino Predictions from Generalized CP Symmetries of Charged Leptons
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Lepton and Quark Mixing from Stepwise Breaking of Flavor and CP
• Confronting Tri-direct CP-symmetry models to neutrino oscillation experiments
• Fermion mass hierarchy and lepton flavor violation using $CP$ symmetry
• Minimal eclectic flavor group $Q_8⋊S_3$ and neutrino mixing
• Lepton and quark mixing patterns with generalized CP transformations