Neutrino Oscillations in a Predictive SUSY GUT

Abstract

In this letter we present a predictive SO(10) SUSY GUT with flavor symmetry U(2) \times U(1) which has several nice features. We are able to fit fermion masses and mixing angles, including recent neutrino data, with 9 parameters in the charged fermion sector and 4 in the neutrino sector. The flavor symmetry plays a preeminent role -- (i) The model is "natural" -- we include all terms allowed by the symmetry. It restricts the number of arbitrary parameters and enforces many zeros in the effective mass matrices. (ii) Flavor symmetry breaking from U(2) \times U(1) \to U(1) \to nothing generates the family hierarchy. It also constrains squark and slepton mass matrices, thus ameliorating flavor violation resulting from squark and slepton loop contributions. (iii) Finally, it naturally gives large angle $ν_μ- ν_τ$ mixing describing atmospheric neutrino oscillation data and small angle $ν_e - ν_{s}$ mixing consistent with the small mixing angle MSW solution to solar neutrino data.