Neutrino Predictions from Generalized CP Symmetries of Charged Leptons

Abstract

We study the implications of generalized CP transformations acting on the mass matrices of charged leptons in a model-independent way. Generalized $e-\mu$, $e-\tau$ and $\mu -\tau$ symmetries are considered in detail. In all cases the physical parameters of the lepton mixing matrix, three mixing angles and three CP phases can be expressed in terms of a restricted set of independent "theory" parameters that characterize a given choice of CP transformation. This leads to implications for neutrino oscillations as well as neutrinoless double beta decay experiments.

arXiv comment31 pages, 13 figures, 3 tables, updated references and matching to the published version

References in corpus (36)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Non-Abelian Discrete Symmetries in Particle Physics
• Neutrino Mass and Mixing with Discrete Symmetry
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Neutrino Mass and Mixing: from Theory to Experiment
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Leptonic CP violation
• CP and Discrete Flavour Symmetries
• CP Violation from Finite Groups
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• The Simplest Neutrino Mass Matrix
• Generalised CP and $A_4$ Family Symmetry
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Lepton mixing from the interplay of the alternating group A5 and CP
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Neutrino masses and mixing: a flavour symmetry roadmap
• Testing atmospheric mixing sum rules at precision neutrino facilities
• Lepton Flavor Mixing and CP Symmetry
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Neutrino Mixing from CP Symmetry
• CP Symmetry and Lepton Mixing from a Scan of Finite Discrete Groups
• Classifying CP transformations according to their texture zeros: theory and implications
• 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
• Neutrino mixing with revamped A4 flavour symmetry
• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• Radiative neutrino masses from order-4 CP symmetry

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• 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
• Testing generalized CP symmetries with precision studies at DUNE
• CP Symmetries as Guiding Posts: revamping tri-bi-maximal Mixing. Part II
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• 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
• Absolute neutrino mass scale and dark matter stability from flavour symmetry