Predictions for the Dirac CP-Violating Phase from Sum Rules

Abstract

We explore the implications of recent results relating the Dirac CP-violating phase to predicted and measured leptonic mixing angles within a standard set of theoretical scenarios in which charged lepton corrections are responsible for generating a non-zero value of the reactor mixing angle. We employ a full set of leptonic sum rules as required by the unitarity of the lepton mixing matrix, which can be reduced to predictions for the observable mixing angles and the Dirac CP-violating phase in terms of model parameters. These sum rules are investigated within a given set of theoretical scenarios for the neutrino sector diagonalization matrix for several known classes of charged lepton corrections. The results provide explicit maps of the allowed model parameter space within each given scenario and assumed form of charged lepton perturbations.

arXiv comment37 pages, 58 figures. V2: Typos corrected, references added, content matches version published in PRD

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• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
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• A New Littlest Seesaw Model
• Testing Lepton Flavor Models at ESSnuSB
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Predictions for the Leptonic Dirac CP-Violating Phase
• The mass ratios parametrization