On the absolute value of the neutrino mass

TL;DR

This paper proposes a new relation to estimate the absolute neutrino masses based on existing oscillation data and a conjectured sum of squared masses, aligning well with astrophysical constraints.

Contribution

It introduces a novel third relation for calculating absolute neutrino masses, extending beyond mass squared differences from oscillation experiments.

Findings

Calculated neutrino masses are plausible and consistent with astrophysical bounds.

The proposed relation offers a new approach to estimate absolute neutrino masses.

Results support the validity of the conjectured mass sum relation.

Abstract

The neutrino oscillations probabilities depend on mass squared differences; in the case of 3-neutrino mixing, there are two independent differences, which have been measured experimentally. In order to calculate the absolute masses of neutrinos, we have conjectured a third relation, in the form of a sum of squared masses. The calculated masses look plausible and are in good agreement with the upper bounds coming from astrophysics.