Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries

Abstract

We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2\times H_{\mathrm{CP}}^{\nu }$ symmetries in the charged lepton and neutrino sectors, respectively, $H_{\mathrm{CP}}^{\nu }$ being a remnant CP symmetry of the neutrino Majorana mass term. In this set-up the neutrino mixing angles and CP violation (CPV) phases of the neutrino mixing matrix depend on three real parameters - two angles and a phase. We classify all phenomenologically viable mixing patterns and derive predictions for the Dirac and Majorana CPV phases. Further, we use the results obtained on the neutrino mixing angles and leptonic CPV phases to derive predictions for the effective Majorana mass in neutrinoless double beta decay.

arXiv comment56 pages, includes 16 figures and 8 tables; the discussion on the possibility to discriminate experimentally between the different cases extended and a new related figure added; the discussion of neutrinoless double beta decay extended; references added; typos corrected; matches version published in JHEP

References in corpus (29)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Neutrino-less Double Beta Decay and Particle Physics
• Neutrinoless double beta decay: 2015 review
• Neutrinoless double beta decay and neutrino mass
• Majorana Neutrinos, Neutrino Mass Spectrum, CP-Violation and Neutrinoless Double Beta-Decay: I. The Three-Neutrino Mixing Case
• CP and Discrete Flavour Symmetries
• The SNO Solar Neutrino Data, Neutrinoless Double Beta-Decay and Neutrino Mass Spectrum
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• Generalised CP and $A_4$ Family Symmetry
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
• Unitarity triangles and geometrical description of CP violation with Majorana neutrinos
• 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
• A new family symmetry for SO(10) GUTs
• Nonzero |U_e3| from Charged Lepton Corrections and the Atmospheric Neutrino Mixing Angle
• Overview of the Jiangmen Underground Neutrino Observatory (JUNO)
• Addendum: The SNO Solar Neutrino Data, Neutrinoless Double Beta-Decay and Neutrino Mass Spectrum
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• 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
• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Rephasing-invariant CP violating parameters with Majorana neutrinos
• Phenomenological Study of Residual Z^s_2 and Zbar^s_2 Symmetries
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay

Cited by in corpus (20)

• Generalised CP Symmetry in Modular-Invariant Models of Flavour
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Quark and Lepton Mixing Patterns from a Common Discrete Flavor Symmetry with Generalized CP
• The symmetry approach to quark and lepton masses and mixing
• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Testing Lepton Flavor Models at ESSnuSB
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• A minimal inverse seesaw model with $S_4$ flavour symmetry
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry
• Diagonal reflection symmetries and universal four-zero texture
• Predictions for the Leptonic Dirac CP-Violating Phase