Predictions for the Dirac CP-Violating Phase from Sum Rules

TL;DR

This paper analyzes how leptonic sum rules relate the Dirac CP-violating phase to mixing angles, providing explicit predictions within various theoretical models involving charged lepton corrections.

Contribution

It introduces a comprehensive framework using leptonic sum rules to predict the Dirac CP phase from mixing angles in models with charged lepton corrections.

Findings

Explicit predictions for the Dirac CP phase in different models.

Maps of allowed parameter spaces for charged lepton corrections.

Validation of sum rules against known neutrino mixing data.

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.