Neutrino Mass Eigenvalues for Different Scheme within Four Flavor Neutrino framework

TL;DR

This paper analyzes neutrino mass eigenvalues within a four-flavor framework, considering CP phases and different mass orderings, and discusses implications for cosmology and neutrino oscillation data.

Contribution

It provides new limits on neutrino mass eigenvalues and their sum in a four-flavor model, including effects of CP violation and different mass hierarchies.

Findings

Sum of neutrino masses exceeds 1.3 eV

Limits on individual neutrino mass eigenvalues

Implications for cosmological observations

Abstract

In this paper, we discuss neutrino mass eigenvalues for four flavor neutrino mixing. An extra mass states, in four flavor mixing and possible various combination of CP violating Majorana phases effects the neutrino mass eigenvalues. We have considered the effective Majorana mass m_{e}, related for \,\left(\beta\beta\right)_{0\nu\,} decay. In calculation, we consider two different neutrino mass orders, normal and inverted. We find the limits for neutrino mass eigenvalue m_{i} in the different neutrino mass spectrum and the sum of all four neutrino masses is \text{{\Sigma}}\text{\ensuremath{\equiv}}m_{1}+m_{2}+m_{3}+m_{4}>1.3\,eV\, which is relevant for cosmological observations and explain the different neutrino oscillations data.