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Centelles Chulia, S., Rodejohann, W., & Saldana-Salazar, U. J. (2020). Two-Higgs-doublet models with a flavored Z(2) symmetry. Phys. Rev. D, 101(3), 035013–12pp.
Abstract: Two-Higgs-doublet models usually consider an ad-hoc Z(2) discrete symmetry to avoid flavor changing neutral currents. We consider a new class of two-Higgs-doublet models where Z(2) is enlarged to the symmetry group F(sic)Z(2), i.e., an inner semidirect product of a discrete symmetry group F and Z(2). In such a scenario, the symmetry constrains the Yukawa interactions but goes unnoticed by the scalar sector. In the most minimal scenario, Z(3)(sic)Z(2) = D-3, flavor changing neutral currents mediated by scalars are absent at tree and one-loop level, while at the same time predictions to quark and lepton mixing are obtained, namely a trivial Cabibbo-Kobayashi-Maskawa matrix and a Pontecorvo-Maki-Nakagawa-Sakata matrix (upon introduction of three heavy right-handed neutrinos) containing maximal atmospheric mixing. Small extensions allow to fully reproduce mixing parameters, including cobimaximal mixing in the lepton sector (maximal atmospheric mixing and a maximal charge-parity violating phase).
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Centelles Chulia, S., Doring, C., Rodejohann, W., & Saldana-Salazar, U. J. (2020). Natural axion model from flavour. J. High Energy Phys., 09(9), 137–29pp.
Abstract: We explore a common symmetrical origin for two long standing problems in particle physics: the strong CP and the fermion mass hierarchy problems. The Peccei-Quinn mechanism solves the former one with an anomalous global U(1)(PQ) symmetry. Here we investigate how this U(1)(PQ) could at the same time explain the fermion mass hierarchy. We work in the context of a four-Higgs-doublet model which explains all quark and charged fermion masses with natural, i.e. order 1, Yukawa couplings. Moreover, the axion of the model constitutes a viable dark matter candidate and neutrino masses are incorporated via the standard type-I seesaw mechanism. A simple extension of the model allows for Dirac neutrinos.
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