Abstract
By applying copositivity criterion to the scalar potential of the economical 3-3-1 model, we derive necessary and sufficient bounded-from-below conditions at tree level. Although these are a large number of intricate inequalities for the dimensionless parameters of the scalar potential, we present general enlightening relations in this work. Additionally, we use constraints coming from the minimization of the scalar potential by means of the orbit space method, the positivity of the squared masses of the extra scalars, the Higgs boson mass, the Z' gauge boson mass and its mixing angle with the SM Z boson in order to further restrict the parameter space of this model.
Highlights
SM hypercharge, Y, and its values are assigned to obtain the latter after the first spontaneous symmetry breaking
We study vacuum stability at tree level, i.e. the conditions guaranteeing that the scalar potential is bounded from below in all directions in the field space as the field norms approach to infinity
We find tree level constraints on the scalar potential couplings of the economical 3 − 3 − 1 model when considerations of vacuum stability and positivity of the squared scalar masses are taken into account
Summary
We study vacuum stability at tree level, i.e. the conditions guaranteeing that the scalar potential is bounded from below in all directions in the field space as the field norms approach to infinity. It is well-known that in the SM, at tree level, it is enough to make the Higgs boson quartic coupling positive [50,51,52]. The problem of vacuum stability is reduced to study the copositivity of a 3 × 3 matrix This provides seventeen inequalities, for the ten quartic couplings, that at first sight seem too complicated in order to provide useful analytical relations.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
