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Gomez-Izquierdo, J. C., Gonzalez-Canales, F., & Mondragon, M. (2015). Q(6) as the flavor symmetry in a non-minimal SUSY SU(5) model. Eur. Phys. J. C, 75(5), 221–16pp.
Abstract: We present a non-minimal renormalizable SUSY SU(5) model, with extended Higgs sector and right-handed neutrinos, where the flavor sector exhibits a Q(6) flavor symmetry. We analyzed the simplest version of this model, in which R-parity is conserved and the right-handed neutrino masses in the flavor doublet are considered with and without degeneracy. We find the generic form of the mass matrices both in the quark and lepton sectors. We reproduce, according to current data, the mixing in the CKM matrix. In the leptonic sector, in the general case where the right-handed neutrino masses are not degenerate, we find that the values for the solar, atmospheric, and reactor mixing angles are in very good agreement with the experimental data, both for a normal and an inverted hierarchy. In the particular casewhere the right-handed neutrinos masses are degenerate, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. In this case the atmospheric and solar angles are in very good agreement with experimental data, and the reactor one is different from zero, albeit too small (theta(lth)(13) similar to 3.38.). This value constitutes a lower bound for.13 in the general case. We also find the range of the values for the neutrino masses in each case.
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Mondragon, A., Mondragon, M., & Peinado, E. (2011). Neutrino Masses, Mixings, and FCNC's in an S(3) Flavor Symmetric Extension of the Standard Model. Phys. Atom. Nuclei, 74(7), 1046–1054.
Abstract: By introducing three Higgs fields that are SU(2) doublets and a flavor permutational symmetry, S(3), in the theory, we extend the concepts of flavor and generations to the Higgs sector and formulate a Minimal S(3)-Invariant Extension of the Standard Model. The mass matrices of the neutrinos and charged leptons are re-parameterized in terms of their eigenvalues, then the neutrino mixing matrix, V(PMNS), is computed and exact, explicit analytical expressions for the neutrino mixing angles as functions of the masses of neutrinos and charged leptons are obtained in excellent agreement with the latest experimental data. We also compute the branching ratios of some selected flavor-changing neutral current (FCNC) processes, as well as the contribution of the exchange of neutral flavor-changing scalars to the anomaly of the magnetic moment of the muon, as functions of the masses of charged leptons and the neutral Higgs bosons. We find that the S(3) x Z(2) flavor symmetry and the strong mass hierarchy of the charged leptons strongly suppress the FCNC processes in the leptonic sector, well below the present experimental bounds by many orders of magnitude. The contribution of FCNC's to the anomaly of the muon's magnetic moment is small, but not negligible.
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