Neutrino Masses In SU(2)_L×SU(2)_R×U(1) Model With U(1) Family Symmetry

Based on the SU(2)_L×SU(2)_R×U(1) model with an U(1) family symmetry,we obtain the lepton flavor mixing matrix and research on the neutrino masses.In the model we consider,the Lagragian density which yields the Dirac masses for the leptons is U(1) family invariant,so both the mass matrix for the charge leptons and the Dirac mass matrix for the neutrinos are Fritzsch-type.But,generally speaking,neutrinos can have also Majorana masses.In that situation,the effective mass matrix for the light neutrinos is not Fritzsch-type and not hermitian even.We make some assumptions on the phases of the neutrino Majorana mass matrix to avoid diagonalizing the non-hermitian matrix.Then,we obtain the lepton flavor mixing matrix.The numerical caculation which is based on the lepton flavor mixing matrix shows that the model we consider may not fit the present result of the neutrino mixing experiment.