Closing the $SU(3{)}_L\otimes U(1{)}_X$ Symmetry at Electroweak Scale

Abstract

We show that some models with $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ gauge symmetry can be realized at the electroweak scale and that this is a consequence of an approximate global $SU(2{)}_{L+R}$ symmetry. This symmetry implies a condition among the vacuum expectation value of one of the neutral Higgs scalars, the $U(1{)}_X$'s coupling constant, $g_X$, the sine of the weak mixing angle $\sin {\theta }_W$, and the mass of the $W$ boson, $M_W$. In the limit in which this symmetry is valid it avoids the tree level mixing of the $Z$ boson of the Standard Model with the extra $Z^{\prime }$ boson. We have verified that the oblique $T$ parameter is within the allowed range indicating that the radiative corrections that induce such a mixing at the 1-loop level are small. We also show that a $SU(3{)}_{L+R}$ custodial symmetry implies that in some of the models we have to include sterile (singlets of the 3-3-1 symmetry) right-handed neutrinos with Majorana masses, being the see-saw mechanism mandatory to obtain light active neutrinos. Moreover, the approximate $SU(2{)}_{L+R}\subset SU(3{)}_{L+R}$ symmetry implies that the extra non-standard particles of these 3-3-1 models can be considerably lighter than it had been thought before so that new physics can be really just around the corner.

arXiv comment32 pages, no figure, RevTeX. Some typos corrected

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• Scalar Bilepton Dark Matter
• Dark matter and flavor changing in the flipped 3-3-1 model
• FCNC in the minimal 3-3-1 model revisited
• Higgs Phenomenology in the Minimal $SU(3{)}_L\times U(1{)}_X$ Model
• Bilepton effects on the WWV^* vertex in the 331 model with right-handed neutrinos via a SU_L(2)XU_Y(1) covariant quantization scheme
• Stabilization of the Electroweak Scale in 3-3-1 Models
• Lepton Flavor Violation and Collider Searches in a Type I + II Seesaw Model
• Bounds on the Simplest Little Higgs Model Mass Spectrum Through Z Leptonic Decay
• The simplest 3-3-1 model
• Kinetic mixing effect in the 3-3-1-1 model
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos
• Electron and muon anomalous magnetic dipole moment in a 3-3-1 model
• Vector- and Scalar-Bilepton Pair Production in Hadron Colliders
• Production of Charged Higgs Bosons in a 3-3-1 Model at the CERN LHC
• Charges and Mass Spectrum in the Pisano-Pleitez-Frampton 3-3-1 Gauge Model
• Electron and neutron electric dipole moment in the 3-3-1 model with heavy leptons
• Cosmological bounds of sterile neutrinos in a $SU(3{)}_C\otimes SU(3{)}_L\otimes SU(3{)}_R\otimes U(1{)}_N$ model as dark matter candidates
• Jets Plus Same-Sign Dileptons Signatures from Fermionic Leptoquarks at the LHC
• Lepton flavor violating decays of the SM-like Higgs boson $h\to e_i{e}_j$, and $e_i\to e_j\gamma$ in a flipped 3-3-1 model
• Phenomenology of the SU(3)_C \otimes SU(2)_L \otimes SU(3)_R \otimes U(1)_X gauge model
• Neutral meson mixing induced by box diagrams in the 3-3-1 model with heavy leptons
• The Higgs boson in the minimal 3-3-1 model
• Contribution of heavy neutrinos to decay of standard-model-like Higgs boson $h\to \mu \tau$ in a 3-3-1 model with additional gauge singlets
• Trimuon production at the LHC
• Large signal of $h\to \mu \tau$ within the constraints of $e_i\to e_j\gamma$ decays in the 3-3-1 model with neutral leptons
• Probing Dark Matter in the Economical 3-3-1 Model
• Constraints on exotic particle masses from flavor violating charged lepton decays and the role of interference
• Custodial Symmetry and Extensions of the Standard Model
• Hadronic resonances with exotic electric charge