We show that, in frameworks of the economical 3-3-1 model, all fermions get
masses. At the tree level, one up-quark and two down-quarks are massless, but
the one-loop corrections give all quarks the consistent masses. This conclusion
is in contradiction to the previous analysis in which, the third scalar triplet
has been introduced. This result is based on the key properties of the model:
First, there are three quite different scales of vacuum expectation values:
$\om \sim {\cal O}(1) \mathrm{TeV}, v \approx 246 \mathrm{GeV}$ and $ u \sim
{\cal O}(1) \mathrm{GeV}$. Second, there exist two types of Yukawa couplings
with different strengths: the lepton-number conserving couplings $h$'s and the
lepton-number violating ones $s$'s satisfying the condition in which the second
are much smaller than the first ones: $ s \ll h$.
With the acceptable set of parameters, numerical evaluation shows that in
this model, masses of the exotic quarks also have different scales, namely, the
$U$ exotic quark ($q_U = 2/3$) gains mass $m_U \approx 700 $ GeV, while the
$D_\al$ exotic quarks ($q_{D_\al} = -1/3$) have masses in the TeV scale:
$m_{D_\al} \in 10 \div 80$ TeV.Comment: 20 pages, 8 figure
Sfermion masses and eigenstates in the supersymmetric economical 3-3-1 model are studied. By lepton number conservation, the exotic squarks and superpartners of ordinary quarks are decoupled. Due to the fact that in the 3-3-1 models, one generation of quarks behaves differently from other two, by R-parity conservation, the mass mixing matrix of the squarks in this model are smaller than that in the Minimal Supersymmetric Standard Model (MSSM). Assuming substantial mixing in pairs of highest flavours, we are able to get mass spectrum and eigenstates of all the sfermions. In the effective approximation, the slepton mass splittings in the first two generations, are consistent with those in the MSSM, namely: m 2 l L − m 2 ν lL = m 2 W cos 2γ (l = e, µ). In addition, within the above effective limit, there exists degeneracy among sneutrinos in each multiplet: m 2 ν lL = m 2 ν lR . In contradiction to the MSSM, the squark mass splittings are different for each generation and not to be m 2 W cos 2γ.Keywords: Supersymmetric partners of known particles, Models beyond the standard model.
The quartic gauge boson couplings in the SU(3) C ⊗ SU(3) L ⊗ U(1) N models are presented. We find that the couplings of four differrent gauge bosons may have unusual Lorentz structure and the couplings sastify the tree unitarity requirement at high energy limit.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.