On trilinear terms in the scalar potential of 3-3-1 gauge models

Abstract

The trilinear terms {\normalsize of the form $\sqrt{2}f{ϵ}^{ijk}{\rho }_i{\chi }_j{\varphi }_k$} in the scalar potential of a 3-3-1 gauge model are considered. When looking for the eigenbasis of the massive physical Higgs bosons that survive the spontaneous symmetry breakdown of the model -- in light of the observed SM-like Higgs boson with mass $m_h\simeq 125$ GeV reported in 2012 at the LHC -- one gets a strong constraint to the cubic term. It has to be smaller than usual $f\ll w$, in flagrant contradiction with the large one $f\simeq w$ which is propagated in the literature to date.

Comments: 11 pages, no figures