Abstract
Flavour changing processes like t → hu, hc, h → τe, τμ as well as hadronic decays h → bs, bd, are analysed within a class of two Higgs doublet models where flavour changing neutral scalar currents at tree level are present. The most remarkable characteristic of this class of models is that the flavour-violating couplings are entirely determined by the fermion masses, the ratio of vacuum expectation values tan and the CKM and PMNS matrices. The flavour structure of the scalar currents results from a symmetry of the Lagrangian and consequently it is natural and stable under the renormalization group evolution. We show that, in some of the models, the rates of the mentioned flavour changing processes can reach values at the discovery level for the LHC operating at 13 TeV, even taking into account stringent bounds on low energy processes.
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