SO(10) SUSY GUT for fermion masses: Lepton flavor and CP violation

We discuss the results of a global χ^2 analysis of a simple SO(10) supersymmetric grand unified theory (SUSY GUT) with D_3 family symmetry and low energy R parity. The model describes fermion mass matrices with 14 parameters and gives excellent fits to 20 observable masses and mixing angles in both quark and lepton sectors, giving six predictions. Bi-large neutrino mixing is obtained with hierarchical quark and lepton Yukawa matrices, thus avoiding the possibility of large lepton flavor violation. The model naturally predicts small 1–3 neutrino mixing, with sinθ_13≃0.05–0.06. In this paper we evaluate the predictions for the lepton flavor violating processes, μ→eγ, τ→μγ and τ→eγ and also the electric dipole moment of the electron (d_e), the muon, and the tau, assuming universal squark and slepton masses (m_16) and a universal soft SUSY breaking A parameter (A_0) at the GUT scale. We find Br(μ→eγ) is naturally below present bounds, but may be observable by MEG. Similarly, d_e is below present bounds, but it is within the range of future experiments. We also give predictions for the light Higgs mass (using FEYNHIGGS). We find an upper bound given by m_h≤127 GeV, with an estimated ±3 GeV theoretical uncertainty. Finally we present predictions for SUSY particle masses in the favored region of parameter space