Testing the minimal S4 model of neutrinos with the Dirac and Majorana phases

We propose two new simple lepton flavor models in the framework of the S-4 flavor symmetry. The neutrino mass matrices, which are given by two complex parameters, lead to the inverted mass hierarchy. The charged lepton mass matrix has the 1-2 lepton flavor mixing, which gives the non-vanishing reactor angle theta(13). These models predict the Dirac phase and the Majorana phases, which are testable in the future experiments. The predicted magnitudes of the effective neutrino mass for the neutrino-less double beta decay are in the regions as 32 meV less than or similar to |m(ee) | less than or similar to 49 meV and 34 meV less than or similar to |m(ee) | less than or similar to 59 meV, respectively. These values are close to the expected reaches of the coming experiments. The total suma of the neutrino masses are predicted in both models as 0.0952 eV less than or similar to Sigma m(i) less than or similar to 0.101 eV and 0.150 eV less than or similar to Sigma m(i) less than or similar to 0.160 eV, respectively.