θ13 and proton lifetime in a minimal SO(10) x S4 model of flavor

In a recent paper, a minimal supersymmetric (SUSY) SO(10) x S-4 based unified model of flavor for quarks and leptons was proposed with two 10 and one 126 contributing to fermion masses. An important aspect of this model is that Yukawa couplings emerge dynamically from minimization of the flavon potential, thereby reducing the number of parameters considerably. We make a detailed numerical analysis of this model for fermion mixings including SUSY threshold effects at the TeV scale and type-I corrections to a type-II dominant seesaw for neutrino masses. This is a single-step breaking model with SUSY SO(10) broken at the grand unified theory scale of 2 x 10(16) GeV to the minimal supersymmetric standard model. The minimal model has only 11 parameters, and therefore, the charged fermion fits predict the masses (up to an overall scale) and mixings in the neutrino sector. We present correlations for the different predictions in the neutrino mixing parameters. The recent experimental large theta(13) value of similar to 9 degrees can be obtained by a simple extension of the minimal model. We also find that proton decay mode p -> K+(nu) over bar (mu) has a partial lifetime of similar to 10(34) yrs, which is within reach of the next round of planned proton decay searches. The successful fit for fermion masses requires the Higgs mass to be below 129 GeV in this model. If the Higgs mass lies between 120 and 128 GeV, as suggested by the recent LHC data, we find a lower limit on the light stop mass of 755 (211) GeV for mu > 0(<0).