ICC XVIII: Dynamical Phase Correlations and Structural Constraints on Quantitative CP Prediction

Key Points

• This research aims to explore how dynamical phase correlations affect the predictivity of the CP-violating phase δCP in the PMNS matrix.
• Introduced a targeted effective potential to improve predictivity for δCP.
• Analyzed the connections between phase correlations and the eigenvectors of the unitarization map’s Hessian.
• Outlined a schematic expression for the targeted potential to suppress specific modes.
• Predicted broad distributions for δCP are testable with upcoming experiments like DUNE and Hyper-Kamiokande.
• The framework identifies minimal conditions necessary for achieving quantitative precision in predictions.
• Achieved > 3σ significance for testing the hypothesis on the uncertainty of δCP.

Abstract