Investigation of the Higgs boson anomalous FCNC interactions in the simple 3-3-1 model

We study phenomenological constraints on the simple 3-3-1 model with flavor-violating Yukawa couplings. Both Higgs triplets couple to leptons and quarks, which generates flavor-violating signals in both lepton and quark sectors. We have shown that this model allows for a large Higgs lepton flavor-violating rate decay h ->mu tau and also may reach perfect agreement with other experimental constraints such as tau ->mu gamma and (g-2)mu. The contributions of flavor-changing neutral current couplings, Higgs-quark-quark couplings, mixing to the mesons are investigated. Br(h -> qq ')\ can be enhanced acknowledging the measurements of meson mixing. The branching ratio for t -> qh can reach up to 10(-3), but it could be as low as 10(-8).