Fermion masses in the economical 3-3-1 model

Abstract

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 $u\sim \mathcal{O}(1)\mathrm{GeV}$. 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: $m_{D_\al} \in 10 ÷80$ TeV.

20 pages, 8 figures

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• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Higgs-gauge boson interactions in the economical 3-3-1 model
• Atomic parity violation in the economical 3-3-1 model

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• Supersymmetric reduced minimal 3-3-1 model
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• Electroweak sphalerons in the reduced minimal 3-3-1 model
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• Constraints on economical 331 models from mixing of K, Bd and Bs neutral mesons
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos
• Higgs phenomenology of supersymmetric economical 3-3-1 model
• Sfermion masses in the supersymmetric economical 3-3-1 model
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Bilepton contributions to the neutrinoless double beta decay in the economical 3-3-1 model
• Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model
• Muon Magnetic Moment and Lepton Flavor Violation in the Economical 3-3-1 Model
• Is our vacuum global in a 331 model with three triplets?
• Radiatively generated hierarchy of lepton and quark masses