A three-parameter neutrino mass matrix with maximal CP violation

TL;DR

This paper proposes a neutrino mass matrix model that naturally incorporates maximal CP violation and mixing angles, remains stable under renormalization, and explores implications for neutrinoless double beta decay.

Contribution

It introduces a three-parameter neutrino mass matrix model with maximal CP violation and mixing, stable under renormalization, and analyzes its phenomenological consequences.

Findings

Neutrino mass matrix retains form under one-loop RG evolution.

The absolute neutrino mass scale depends on |U_e3| and atmospheric mass difference.

Effective mass in neutrinoless double beta decay shows fourfold ambiguity.

Abstract

Using the seesaw mechanism, we construct a model for the light-neutrino Majorana mass matrix which yields trimaximal lepton mixing together with maximal CP violation and maximal atmospheric-neutrino mixing. We demonstrate that, in our model, the light-neutrino mass matrix retains its form under the one-loop renormalization-group evolution. With our neutrino mass matrix, the absolute neutrino mass scale is a function of |U_e3| and of the atmospheric mass-squared difference. We study the effective mass in neutrinoless double beta-decay as a function of |U_e3|, showing that it contains a fourfold ambiguity.