A proposal of neutrino mass formula

Abstract

An explicit mass formula is proposed for three active neutrinos and their heavy sterile (righthanded) counterparts in the framework of seesaw mechanism. The formula correlates reasonably the experimental estimates for the solar $\Delta m^2_{12}$ and atmospheric $\Delta m^2_{32}$ in the case of hierarchical spectrum $m^2_1 \ll m^2_2 \ll m^2_3 $ of active neutrinos. The lightest heavy neutrino is predicted to be $O(10^5)$ times lighter than the heaviest. An efficient mass formula, proposed previously for charged leptons, is recalled and coordinated with the new mass formula for neutrinos.