Towards a realistic neutrino mass formula: part two

TL;DR

This paper proposes a simple two-parameter neutrino mass formula that aligns with experimental mass-squared differences and introduces a sum rule, advancing the understanding of neutrino mass hierarchies.

Contribution

It introduces a new two-parameter neutrino mass formula derived from an empirical three-parameter model with a specific constraint, leading to a simple mass sum rule.

Findings

The formula is consistent with experimental Delta m^2 values.

It predicts a moderately hierarchical neutrino mass spectrum.

A simple mass sum rule m_3 = 18 m_2 - 48 m_1 is derived.

Abstract

A two-parameter neutrino mass formula is described, giving a moderately hierarchical spectrum m_1 < m_2 < m_3 consistent with the experimental estimates of Delta m^2_{21} and Delta m^2_{32}. The formula follows from a three-parameter empirical neutrino mass formula through imposing a parameter constraint and leads to a very simple neutrino mass sum rule m_3 = 18 m_2 - 48 m_1. Some alternative parameter constraints, used tentatively to eliminate one of three parameters, are compared.