New symmetric relations among lepton masses and prediction of lepton masses of the fourth generation

Abstract

The presence of more than three generation of particles, predicted by various models beyond Standard Model (SM), can be the answer to several unanswered questions. In this paper, we discover a mass space by generalizing the Koide's relation over the leptons section of SM and deduce some new symmetric relations. By using the magnitude dilation and angular rotation ratio between these relations, we predict the masses of the fourth generation particles. Also, this model constraints the existence of fifth generation leptons which up to now no theory can do.