Interactions among the standard model gauge bosons and scalar fields in the framework of SU(3)C ⊗ SU(3)L ⊗ U(1)X gauge model with minimal (economical) Higgs content are presented. From these couplings, all scalar fields including the neutral scalar h and the Goldstone bosons can be identified and their couplings with the usual gauge bosons such as the photon, the charged W ± and the neutral Z, without any additional condition, are recovered. In the effective approximation, full content of scalar sector can be recognized. The CP-odd part of Goldstone associated with the neutral non-Hermitian bilepton gauge boson G X 0 is decouple, while its CP-even counterpart has the mixing by the same way in the gauge boson sector.

A model based on the SU͑3͒ L U͑1͒ N gauge group in which neutrinos have right-handed neutral currents is considered. We argue that in order to have a result consistent with the low-energy one, the right-handed neutrino component must be treated as a correction instead of an equivalent spin state.

A scalar sector of the 3 3 1 model with three Higgs triplets is considered in detail. The mass spectrum, eigenstates and interactions of the Higgs and the SM gauge bosons are derived. We show that one of the neutral scalars can be identified with the standard model Higgs boson, and in the considered potential, there is no mixing between scalars having vev and those without vev.

Contributions of flavour-changing neutral currents in the 3 3 1 model with right-handed neutrinos to mass difference of the neutral meson system ∆m P (P = K, D, B) are calculated. Using the Fritzsch anzats on quark mixing, we show that the third family should be different from the first two. We obtain a lower bound on mass of the new heavy neutral gauge boson as 1.02 TeV. PACS number(s): 12.15.-y, 13.15.J

We construct the supersymmetric version of a model based on the gauge group SU(3) c× SU(3) L× U(1) . We discuss the mechanism of baryon number violation which induces nucleon decay, and derive bounds on the relevant couplings. We point out a new mechanism for nucleon decay which can also appear in R-violating MSSM.

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