Analytic Calculation of Neutrino Mass Eigenvalues

TL;DR

This paper analytically calculates neutrino mass eigenvalues, discussing implications for neutrino oscillation data, effective Majorana mass, and limits across different neutrino mass spectra.

Contribution

It provides an analytical approach to determine neutrino mass eigenvalues and their limits based on oscillation data and decay processes, offering new insights into neutrino mass spectra.

Findings

Limits on neutrino mass eigenvalues derived for various spectra

Relation between effective Majorana mass and neutrino masses clarified

Compatibility with existing neutrino oscillation data established

Abstract

Implicaion of the neutrino oscillation search for the neutrino mass square difference and mixing are discussed. We have considered the effective majorana mass m_{ee}, related for \beta\beta_{0\nu}decay. We find limits for neutrino mass eigen value m_{i} in the different neutrino mass spectrum,which explain the different neutrino data.