Estimation on the neutrino masses by using neutrino oscillation parameters

TL;DR

This paper derives formulas to estimate neutrino masses from oscillation data, revealing a mass hierarchy transition and estimating the total neutrino mass at about 0.25 eV, with implications for cosmology.

Contribution

It provides general formulas linking neutrino masses to oscillation parameters and demonstrates a mass hierarchy transition based on experimental data.

Findings

Total neutrino mass estimated at about 0.25 eV

Reveals a neutrino mass hierarchy transition

Neutrino energy density estimated at 55 eV/cm$^3$

Abstract

It has been shown that neutrino masses can be determined under the particle ansatz. In this paper, we give the general formulas of neutrino masses related to the neutrino oscillation parameters which show that there is a mass hierarchy transition. Using the best fit values measured by electron and muon neutrino oscillation experiments, the total neutrino mass is about 0.25 eV. According to the standard neutrino cosmology, the neutrino energy density is about 55 eV/cm$^3$ and $\Omega_m h^2>\Omega_\nu h^2\sim 0.0055$.