Some New Symmetric Relations and the Prediction of Left and Right Handed Neutrino Masses using Koide's Relation

TL;DR

This paper explores whether neutrino masses follow Koide's relation, using the SeeSaw mechanism to predict precise masses for both left and right-handed neutrinos, extending the relation beyond charged leptons.

Contribution

It demonstrates that neutrinos can satisfy Koide's mass relation and provides exact mass predictions for left and right-handed neutrinos based on this relation.

Findings

Neutrinos satisfy Koide's mass relation

Exact masses for left-handed neutrinos are calculated

Predicted right-handed neutrino masses are provided

Abstract

Masses of the three generations of charged leptons are known to completely satisfy the Koide's mass relation. But the question remains if such a relation exists for neutrinos? In this paper, by considering SeeSaw mechanism as the mechanism generating tiny neutrino masses, we show how neutrinos satisfy the Koide's mass relation, on the basis of which we systematically give exact values of not only left but also right handed neutrino masses.