SO(10) SUSY GUT for Fermion Masses : Lepton Flavor and CP Violation

Abstract

We discuss the results of a global $\ddot{I}{‡}^2$ analysis of a simple SO(10) 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 6 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 $\sin \hat{I}{¸}_{13}\simeq 0.05-0.06$. In this paper we evaluate the predictions for the lepton flavor violating processes, $\hat{I}¼\to e{\hat{I}}^3$, $\ddot{I}„\to \hat{I}¼{\hat{I}}^3$ and $\ddot{I}„\to e{\hat{I}}^3$ and also the electric dipole moment of the electron, $d_e$, muon and 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 $Br(\hat{I}¼\to e{\hat{I}}^3)$ is naturally below present bounds, but may be observable by MEG. Similarly, $d_e$ is below present bounds; but 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 $m_h\le 127$ GeV, with an estimated $\pm 3$ GeV theoretical uncertainty. Finally we present predictions for SUSY particle masses in the favored region of parameter space.

25 pages, 18 figures, several typos in captions of tables 2 and 3 corrected, acknowledgments added