Lepton Mixing Patterns from PSL2(7) with a Generalized CP Symmetry

Shu-Jun Rong

doi:10.1155/2020/6120803

Abstract

Lepton mixing patterns from the modular group PSL2(7) with generalized CP symmetries are studied. The residual symmetries in both charged lepton and neutrino sectors are Z2×CP. Seven types of mixing patterns at the 3σ 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 1σ range of the global fit data. The effective mass of neutrinoless double-beta decay for these patterns is also examined.

Highlights

CP violation in the hadron sector was observed in 1964 [1]
We study the predictions of the modular group PSL2(7) with the generalized CP (GCP) symmetry in the case of Majorana neutrinos
Given the recent global fit data of neutrino oscillations [67], we examine the predictions of combinations of residual symmetries of the form ðZA2ei, XejðAiÞ, ZS2ν, XνkðSÞÞ with the χ2 function defined as χ2 = 〠

Summary

Introduction

CP violation in the hadron sector was observed in 1964 [1]. Whether there is a counterpart in the lepton sector is still a mystery. If no perturbation is considered, only finite groups of large orders could accommodate the results of new experiments [35]. They give a trivial Dirac CP-violating phase [35]. The maximal Dirac phase satisfies the 1σ constraint from the new recent global fit data in case of inverted mass ordering [67]. We study the predictions of the modular group PSL2(7) with the GCP symmetry in the case of Majorana neutrinos. We note that lepton mixing patterns from large finite modular group have been studied in the recent Refs. We consider the case that residual GCP symmetries constrain both charged leptons and neutrinos.

Framework

Results

CCCA c13c23

The Effective Mass of Neutrinoless Double-Beta Decay

Bound from 0 vββ

Summary