Bi-maximal Neutrino Mixings And Proton Decay In SO(10) With Anomalous Flavor $\mathcal{U}(1)$

Abstract

By supplementing supersymmetric SO(10) with an anomalous $\mathcal{U}(1)$ flavor symmetry and additional `matter' superfields carrying suitable $\mathcal{U}(1)$ charges, we explain the charged fermion mass hierarchies, the magnitudes of the CKM matrix elements, as well as the solar and atmospheric neutrino data. We stress bi-maximal vacuum neutrino mixings, and indicate how the small or large mixing angle MSW solution can be incorporated. The $\mathcal{U}(1)$ symmetry also implies that ${\tau }_{p\to K\nu }[SO(10)]\sim (10-100)\cdot {\tau }_{p\to K\nu }[\mathrm{minimal}SU(5)]$.

Comments: 4 pages, revtex