Complex Scaling in Neutrino Mass Matrix

TL;DR

This paper introduces a complex extension of the scaling ansatz for the neutrino mass matrix, enabling nonzero neutrino masses and mixing angles, with specific CP violation and phase conditions, relevant for neutrino experiments.

Contribution

It proposes a novel complex scaling approach to neutrino mass matrices that accommodates realistic neutrino properties and CP violation patterns.

Findings

Allows nonzero neutrino masses and $ heta_{13}$

Predicts maximal leptonic Dirac CP violation

Majorana phases are constrained to 0 or π

Abstract

Using the residual symmetry approach, we propose a complex extension of the scaling ansatz on $M_\nu$ which allows a nonzero mass for each of the three light neutrinos as well as a nonvanishing $\theta_{13}$. Leptonic Dirac CP violation must be maximal while atmospheric neutrino mixing need not to be exactly maximal. Each of the two Majorana phases, to be probed by the search for $0\nu \beta\beta$ decay, has to be zero or $\pi$ and a normal neutrino mass hierarchy is allowed.