Neutrino Predictions from Generalized CP Symmetries of Charged Leptons

TL;DR

This paper explores how generalized CP symmetries in charged lepton mass matrices influence lepton mixing parameters and their experimental implications, providing a model-independent framework for understanding neutrino oscillations and decay processes.

Contribution

It introduces a model-independent approach to relate generalized CP symmetries with lepton mixing parameters, constraining them with a limited set of theory parameters.

Findings

Lepton mixing angles and CP phases can be expressed in terms of a few theory parameters.

Implications for neutrino oscillation experiments are derived.

Predictions for neutrinoless double beta decay are discussed.

Abstract

We study the implications of generalized CP transformations acting on the mass matrices of charged leptons in a model-independent way. Generalized $e-\mu$, $e-\tau$ and $\mu-\tau$ symmetries are considered in detail. In all cases the physical parameters of the lepton mixing matrix, three mixing angles and three CP phases can be expressed in terms of a restricted set of independent "theory" parameters that characterize a given choice of CP transformation. This leads to implications for neutrino oscillations as well as neutrinoless double beta decay experiments.