Confronting the prediction of leptonic Dirac CP-violating phase with experiments

Abstract

We update and improve past efforts to predict the leptonic Dirac CP-violating phase with models that predict perturbatively modified tribimaximal or bimaximal mixing. Simple perturbations are applied to both mixing patterns in the form of rotations between two sectors. By translating these perturbed mixing matrices to the standard parameterization for the neutrino mixing matrix we derive relations between the Dirac CP-phase and the oscillation angles. We use these relations together with current experimental results to constrain the allowed range for the CP-phase and determine its probability density. Furthermore, we elaborate on the prospects for future experiments probing on the perturbations considered in this work. We present a model with $A_4$ modular symmetry that is consistent with one of the described perturbed scenarios and successfully predicts current oscillation parameter data.

24 pages, 4 figures

References in corpus (20)

• Observation of electron-antineutrino disappearance at Daya Bay
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Possible Alternatives to Tri-bimaximal Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• A model for trimaximal lepton mixing
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• Mass Independent Textures and Symmetry
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• Study of the performance of a large scale water-Cherenkov detector (MEMPHYS)
• A partial $\mu$-$\tau$ symmetry and its prediction for leptonic CP violation
• Modular symmetry in the SMEFT
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Modular flavor symmetry and vector-valued modular forms
• Next-to-tribimaximal mixing against CP violation and baryon asymmetry signs

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