Revisiting the Higgs sector of a 3-3-1 model in light of the 126 GeV signal at the LHC

$SU(5)_{L} \times U(1)_{Y}$ electroweak unification

“…A detailed analysis of the scalar spectrum could supply interesting results with regard to their masses and couplings. In the case of 3-3-1 models with no exotic electric charges, the author succeded in proving that only two physical Higgses survive the SSB [18,32], while the third one comes out massless and sterile (with no couplings at all). Some of them could also be put forward as plausible DM candidates.…”

Electric charge quantization in SU(3)c ⊗ SU(n)L ⊗ U(1)Y gauge models

“…For the new massive fermions, the resulting couplings overlap with those obtained in the literature in the canonical approach. With regard to the SSB mechanism SU(n) L ⊗ U(1) Y → U(1) em induced in one step conceived by Cotȃescu in the general method [70], the author also proved its compatibility [33,40] with the Higgs mechanism in two steps largely used in the literature for 3-3-1 and 3-4-1 models. For each particular model inferred in section 4, one can work out a specific phenomenology (see for instance the author's papers [26,33,59]).…”

“…With regard to the SSB mechanism SU(n) L ⊗ U(1) Y → U(1) em induced in one step conceived by Cotȃescu in the general method [70], the author also proved its compatibility [33,40] with the Higgs mechanism in two steps largely used in the literature for 3-3-1 and 3-4-1 models. For each particular model inferred in section 4, one can work out a specific phenomenology (see for instance the author's papers [26,33,59]). One more advantage of this method resides in the fact that the diagonalization of the neutral bosons' matrix with the SM-restriction between W and Z allows for getting b = f(a) and thus the whole mass spectrum becomes a one-parameter spectrum (see for example [26,33,59].…”

“…A special parameterization is introduced with this purpose from the very beginning of the proceedings to ensure the splitting of the n VEVs. In several recent papers [26,33,40,54,59] the author worked out some phenomenological consequences of this method in some particular 3-3-1 and 3-4-1 models, thus proving it can be compatible with the canonical one developed in the literature.…”

“…They remain to be set as input parameters in each particular model taken into consideration, but not in the general case. In this connection, the author-in his previous work [26,33,40,54,59]-set by hand the needed eigenvalues in particular models treated by this method and obtained some renormalizable 3-3-1 and 3-4-1 models. In the following, we will return to the general method to work it out further.…”