Neutrino Masses via a Seesaw with Heavy Majorana and Dirac Neutrino Mass Matrices from Discrete Subgroup $\Delta (27)$ of SU(3)

Abstract

Neutrino mass matrix via a seesaw mechanism is constructed by assuming that the underlying symmetry of both heavy Majorana and Dirac mass matrices is the discrete subgroup $\Delta (27)$ symmetry of SU(3). Using the experimental data of neutrino oscillation, the neutrino mass matrix exhibits maximal ${\nu }_{\mu }-{\nu }_{\tau }$ mixing and has a specific prediction on the effective neutrino mass in neutrinoless double beta decay which can be tested in future experiment.

Comments: 7 pages, no figure, Talk given at the 16th International Seminar on High Energy Physics "QUARKS 2010", 6-12 June 2010, Kolomna, Russia