Evaluation of neutrino masses from $m_{\beta\beta}$ values

TL;DR

This paper evaluates the absolute neutrino mass values for different hierarchies using oscillation data and effective mass measurements from neutrinoless double beta decay, under CP invariance and small mixing angle assumptions.

Contribution

It provides a method to estimate neutrino masses based on $m_{etaeta}$ values considering CP invariance and small $ heta_{13}$ angle, for both normal and inverted hierarchies.

Findings

Neutrino masses can be constrained using $m_{etaeta}$ data.

Mass values differ between normal and inverted hierarchies.

Results support the feasibility of mass determination from neutrinoless double beta decay data.

Abstract

A neutrino mass matrix is considered under conditions of a CP invariance and a small reactor mixing $\theta_{13}$ angle. Absolute mass values for three neutrinos are evaluated for normal and inverted hierarchy spectra on the ground of data for oscillation mixing neutrino parameters and an effective neutrino mass $m_{\beta\beta}$ related to a probability of neutrinoless two beta decay.