Abstract
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 θ 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 ≲ |m ee | ≲ 49 meV and 34 meV ≲ |m ee | ≲ 59 meV, respectively. These values are close to the expected reaches of the coming experiments. The total sum∑ of the neutrino masses are predicted in both models as 0.0952 eV ≲ ∑ m i ≲ 0.101 eV and 0.150 eV ≲ m i ≲ 0.160 eV, respectively.
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Shimizu, Y., Tanimoto, M. Testing the minimal S 4 model of neutrinos with the Dirac and Majorana phases. J. High Energ. Phys. 2015, 1–27 (2015). https://doi.org/10.1007/JHEP12(2015)132
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DOI: https://doi.org/10.1007/JHEP12(2015)132