Phenomenological implications of an SU(5) x S4 x U(1) SUSY GUT of flavor

We discuss the characteristic low energy phenomenological implications of an SU(5) supersymmetric (SUSY) grand unified theory whose flavor structure is controlled by the family symmetry S-4 x U(1), which provides a good description of all quark and lepton masses, mixings as well as charge parity violation. Although the model closely mimics minimal flavor violation (MFV) as shown in M. Dimou, S. F. King, and C. Luhn, J. High Energy Phys. 02 (2016) 118., here we focus on the differences. We first present numerical estimates of the low energy mass insertion parameters, including canonical normalization and renormalization group running, for well-defined ranges of SUSY parameters and compare the naive model expectations to the numerical scans and the experimental bounds. Our results are then used to estimate the model-specific predictions for electric dipole moments (EDMs), lepton flavor violation (LFV), B and K meson mixing as well as rare B decays. The largest observable deviations from MFV come from the LFV process mu -> e gamma and the electron EDM.