Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries

Abstract

We study the effects of considering nontrivial unphysical lepton sector phases on the group theoretical properties of the flavor and generalized CP symmetry elements in the case where there are three light, distinct Majorana neutrino species. We highlight the similarities and differences between the charged lepton and neutrino sectors and further elucidate the group properties of the flavor and generalized CP symmetry elements. We show how the inclusion of these leptonic phases affects the bottom-up constructions of these symmetry elements and discuss the implications for top-down model building based on discrete symmetry groups.

arXiv comment21 pages. v2: Typos corrected, discussion clarified throughout, Section 4 added with examples, main results unchanged, version to appear in PRD

References in corpus (66)

• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Neutrino Mass and Mixing with Discrete Symmetry
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Neutrino oscillations refitted
• Status of three-neutrino oscillation parameters, circa 2013
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Some Simple Mixing and Mass Matrices for Neutrinos
• Lepton mixing and discrete symmetries
• The Unique Horizontal Symmetry of Leptons
• General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications
• The Horizontal Symmetry for Neutrino Mixing
• CP and Discrete Flavour Symmetries
• Improved measurements of the neutrino mixing angle ${\theta }_{13}$ with the Double Chooz detector
• Residual Symmetries for Neutrino Mixing with a Large theta_13 and Nearly Maximal delta_D
• Global Analyses of Neutrino Oscillation Experiments
• Icosahedral (A5) Family Symmetry and the Golden Ratio Prediction for Solar Neutrino Mixing
• Quantum corrections to neutrino masses and mixing angles
• The golden ratio prediction for the solar neutrino mixing
• CP Violation from Finite Groups
• Discrete Flavour Symmetries in Light of T2K
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Generalised CP and $A_4$ Family Symmetry
• Correlated Hierarchy, Dirac Masses and Large Mixing Angles
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
• A Grand Delta(96) x SU(5) Flavour Model
• 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
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Lepton mixing from the interplay of the alternating group A5 and CP
• 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
• Generalized CP symmetries in Delta(27) flavor models
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• Generalised CP and $\Delta (96)$ Family Symmetry
• Leptonic Dirac CP Violation Predictions from Residual Discrete Symmetries
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Mixing Patterns from the Groups Sigma (n phi)
• 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
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Neutrino Mixing from CP Symmetry
• Phenomenological Study of Residual Z^s_2 and Zbar^s_2 Symmetries
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Perturbative Estimates of Lepton Mixing Angles in Unified Models
• $A_4$ and CP symmetry and a model with maximal CP violation
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Generalized CP and $\Delta (3n^2)$ Family Symmetry for Semi-Direct Predictions of the PMNS Matrix
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Canonical normalisation and Yukawa matrices
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation

Cited by in corpus (16)

• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• 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
• CP Symmetries as Guiding Posts: Revamping Tri-Bi-Maximal Mixing-I
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$
• Lepton and Quark Masses and Mixing in a SUSY Model with Delta(384) and CP
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• Predicting Neutrino Mixing Angles Using Group Presentations
• Connecting Tribimaximal and Bitrimaximal Mixings