Lepton mixing patterns from $PSL_2(7)$ with a generalised CP symmetry

TL;DR

This paper explores lepton mixing patterns derived from the $PSL_2(7)$ group combined with generalized CP symmetry, identifying specific patterns consistent with experimental data and analyzing implications for neutrinoless double-beta decay.

Contribution

It introduces new lepton mixing patterns from $PSL_2(7)$ with generalized CP symmetry, matching current experimental data and providing predictions for neutrinoless double-beta decay.

Findings

Seven mixing patterns at 3σ level fit data

Three patterns predict Dirac CP phase within 1σ range

Effective mass predictions for neutrinoless double-beta decay

Abstract

Lepton mixing patterns from the modular group $PSL_2(7)$ with generalised CP symmetries are studied. The residual symmetries in both charged leptons and neutrinos sector are $Z_{2}\times CP$. Seven types of mixing patterns at the $3\sigma$ level of the new global fit data are obtained. Among these patterns, three types of patterns can give the Dirac CP phase which is in the $1\sigma$ range of the global fit data. The effective mass of neutrinoless double-beta decay for these patterns are also examined.