On the Higgs spectra of the 3-3-1 model

The minimal scalar sector of the 3-3-1 model is composed by the SU(3)L triplet scalars η, ρ, χ and its potential allows the trilinear term f2χηρ. Since f is an energy scale associated to the explicit violation of Peccei-Quinn global symmetry, it is natural to wonder about its value and influence in the spectrum of scalars of the model. Here, we show that f determines the spectrum of scalars of the model. Hence, we develop the scalar sector considering f belonging to four energy regimes, namely f≪〈η〉0, 〈ρ〉0; f=〈η〉0, 〈ρ〉0; f=〈χ〉0 and f≫〈χ〉0 and obtain the spectrum of scalars for each case. In the first and second cases the spectrum of scalars presents a set of new scalars belonging to the electroweak scale, while in the third case all new scalars belong to the 3-3-1 scale and the fourth case all the new scalars have masses lying at f scale. All cases have a neutral CP-even scalar mimicking the standard Higgs.