Neutrino oscillation data versus minimal supersymmetric SO(10) model

Abstract

We reconsider the minimal supersymmetric SO(10) model, where only one 10 and one 126 Higgs multiplets have Yukawa couplings with matter multiplets. The model is generalized to include CP-violating phases, and examined how well its predictions can meet the current neutrino oscillation data. Using the electroweak scale data about six quark masses, three angles and one CP-phase in the Cabibbo-Kobayashi-Maskawa matrix and three charged-lepton masses and given tan β (the ratio of vacuum expectation values of a pair of Higgs doublets), we obtain the Pontecorvo-Maki-Nakagawa-Sakata matrix and the ratio, Δmm⊙2/Δmm⊕2, as functions of only one free parameter in the model. In our analysis, one-loop renormalization group equations for the gauge couplings, the Yukawa couplings and the effective dimension-five operator are used to connect the data between the electroweak scale and the grand unification scale. Fixing the free parameter appropriately, we find, for example, sin2 2θ12 ∼ 0.72, sin2 2θ23 ∼ 0.90, sin2 2θ13 ∼ 0.16 and Δmm⊙2/Δmm⊖2 ∼ 0.19 with tan β = 45, which are in agreement with the current neutrino oscillation data. © SISSA/ISAS 2002.