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

Abstract

The trilinear terms {\normalsize of the form $\sqrt{2}f{\epsilon }^{ijk}{\rho }_i{\chi }_j{\varphi }_k$} 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.

11 pages, no figures

References in corpus (3)

• Decay of standard model-like Higgs boson $h\to \mu \tau$ in a 3-3-1 model with inverse seesaw neutrino masses
• Neutral Higgs decays $H\to Z\gamma ,\gamma \gamma$ in 3-3-1 models
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos

Cited by in corpus (3)

• $SU(5{)}_L\times U(1{)}_Y$ electroweak unification
• Weak charges in $SU(5{)}_L\times U(1{)}_Y$ gauge models
• Weak charges quantization in $SU(3{)}_c\otimes SU(n{)}_L\otimes U(1{)}_Y$ gauge models