Some new symmetric relations and prediction of left- and right-handed neutrino masses using Koide's relation

Abstract

The masses of the three generations of charged leptons are known to completely satisfy Koide's mass relation, but the question remains of whether such a relation exists for neutrinos. In this paper, by considering the seesaw mechanism as the mechanism generating tiny neutrino masses, we show how neutrinos satisfy Koide's mass relation, on the basis of which we systematically give exact values of both left- and right-handed neutrino masses.