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In this report the SU(3)_C X SU(3)_L X U(1)_X gauge model with minimal scalarsector, two Higgs triplets, is presented in detail. One of the vacuumexpectation values $u$ is a source of lepton-number violations and a reason formixing among charged gauge bosons--the standard model W^\pm and the bileptongauge bosons Y^\pm as well as among the neutral non-Hermitian bilepton X^0 andneutral gauge bosons--the Z and the new Z'. An exact diagonalization of theneutral gauge boson sector is derived and bilepton mass splitting is alsogiven. Because of these mixings, the lepton-number violating interactions existin both charged and neutral gauge boson sectors. Constraints on vacuumexpectation values of the model are estimated and u \simeq O(1) GeV, v \simeqv_weak = 246 GeV, and \omega \simeq O(1) TeV. In this model there are threephysical scalars, two neutral and one charged, and eight Goldstone bosons--theneeded number for massive gauge bosons. The minimal scalar sector can provideall fermions including quarks and neutrinos consistent masses in which some ofthem require one-loop radiative corrections.

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