arXiv:hep-ph/9903497v1 26 Mar 1999 SINP-TNP-07 March 1999 Light Dirac Neutrinos In An SU (2) L × U (1) Y Model Ambar Ghosal Saha Institute of Nuclear Physics 1/AF, Bidhannagar, Calcutta 700 064, India Light Dirac neutrino of mass of mass of the order of few eV is obtained in an SU (2) L × U (1) Y model with an extended Higgs sector and right-handed neutrinos. Small neutrino mass is generated at the tree level through small effective coupling of the Dirac neutrino mass term due to soft discrete sym- metry breaking. In order to remove the exact degeneracy in mass between the second and the third generation of neutrinos, one loop corrected mass terms are incorporated. The model can accommodate bi-maximal mixing sce- nario of neutrino which has been favoured by recent Solar and atmospheric neutrino experiments. PACS No. 12.60 Fr., 14.60 Pq., 13.40 Em. E-mail: ambar@tnp.saha.ernet.in