Majorana CP violating phases

TL;DR

This paper explores the theoretical determination of Majorana CP-violating phases in neutrinos by proposing two models of neutrino mass matrix symmetry, calculating phases and effective mass, and using cosmological data for numerical estimates.

Contribution

It introduces two new models of neutrino mass matrix symmetry to estimate Majorana CP-violating phases and effective neutrino mass.

Findings

Computed Majorana CP-violating phases in the models.

Estimated effective Majorana neutrino mass $ ext{m}_{ee}$.

Numerical values derived using cosmological neutrino mass limits.

Abstract

The two Majorana cp-violating phases can not be determined by experiments on neutrino oscillations. It is difficult even not possible almost to measure two Majorana cp-violating phases since they are only sensitive to lepton-number-violating processes. One must take some assumption on the structure of neutrino mass matrix and their flavor mixing mechanism hidden behind in phenomenological models in order to determine Majorana cp-violating phases. Two models on the symmetry of the neutrino mass matrix are proposed in this paper. The Majorana cp-violating phases and the effective Majorana neutrino mass $\mathcal{m}_{\mathcal{ee}}$ are computed in the two models. Using the limit of the absolute neutrino mass scale which is from cosmological observations, the numerical values of the Majorana cp-violating phases and the effective Majorana neutrino mass $\mathcal{m}_{\mathcal{ee}}$ are obtained.