The economical SU(3)_C X SU(3)_L X U(1)_X model

Abstract

In this report the SU(3)_C X SU(3)_L X U(1)_X gauge model with minimal scalar sector, two Higgs triplets, is presented in detail. One of the vacuum expectation values $u$ is a source of lepton-number violations and a reason for mixing among charged gauge bosons--the standard model W^\pm and the bilepton gauge bosons Y^\pm as well as among the neutral non-Hermitian bilepton X^0 and neutral gauge bosons--the Z and the new Z'. An exact diagonalization of the neutral gauge boson sector is derived and bilepton mass splitting is also given. Because of these mixings, the lepton-number violating interactions exist in both charged and neutral gauge boson sectors. Constraints on vacuum expectation values of the model are estimated and u \simeq O(1) GeV, v \simeq v_weak = 246 GeV, and ω\simeq O(1) TeV. In this model there are three physical scalars, two neutral and one charged, and eight Goldstone bosons--the needed number for massive gauge bosons. The minimal scalar sector can provide all fermions including quarks and neutrinos consistent masses in which some of them require one-loop radiative corrections.

89 pages, 26 figures, accepted for publication in Advances in High Energy Physics

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• The electroweak theory based on SU(4)_L X U(1)_X gauge group
• Electroweak phase transition in the reduced minimal 3-3-1 model
• Electroweak sphalerons in the reduced minimal 3-3-1 model
• Lepton flavor violating processes τ->μγ$,$τ-> 3μ$and$Z-> μτ$ in the Supersymmetric economical 3-3-1 model
• Suppression of scalar mediated FCNCs in a $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$-model
• Inflationary scenario in the supersymmetric economical 3-3-1 model
• Bounds on dipole moments of tau-neutrino from single photon searches in $SU(4{)}_L\times U(1{)}_X$ model at CLIC and ILC energies
• Non-thermal leptogenesis in supersymmetric 3-3-1 model with inflationary scenario
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• Investigation of Higgs boson anomalous FCNC interactions in the simple 3-3-1 model
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• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
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