Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry

TL;DR

This paper explores how combining the $A_5$ discrete flavor symmetry with generalized CP symmetry predicts specific correlations in leptonic mixing angles and phases, aligning with current experimental data.

Contribution

It introduces a novel framework using $A_5$ and generalized CP to predict leptonic mixing correlations and non-trivial CP phases from residual symmetries.

Findings

Predicts non-trivial leptonic CP phases.

Identifies distinctive correlations between mixing parameters.

Aligns with current experimental data.

Abstract

Using discrete flavour group, $A_5$, combined with generalised CP, we study the mixing parameter correlations which arise from breaking to residual symmetries in the neutrino, $G_{\nu}=\mathbb{Z}_2\times \text{CP}$, and charged lepton sectors, $G_{e}=\mathbb{Z}_2$. By focusing on patterns that agree with current experimental data we demonstrate that non-trivial leptonic phases are predicted and discuss a number of distinctive correlations between mixing parameters.