Examining the Geometrical Model with Inverted Mass Hierarchy for Neutrinos

The comprehensive analyses are presented in the model with the inverted mass hierarchy for neutrinos, which follows from a geometrical structure of a (1+5) dimensional space-time where two extra dimensions are compactified on the T2/Z3 orbifold. The model gives two large lepton flavor mixings due to the S3 structure in the (1+5) dimensional space-time. It also predicts the lightest neutrino mass as m3 = (1-50)× 10−5 eV and the effective neutrino mass responsible for neutrinoless double beta decays as 〈m〉ee ≃ 50 meV. The low energy CP violation, JCP could be 0.02. On the other hand, the observed baryon asymmetry in the present universe is produced by the non-thermal leptogenesis, which works even at the reheating temperature TR = 10 -10 GeV. The correlation between the baryon asymmetry and the low energy CP violation is examined in this model.