Advances in High Energy Physics
Volume 2008 (2008), Article ID 739492, 74 pages
doi:10.1155/2008/739492
Review Article

The Economical SU(3)C⊗SU(3)L⊗U(1)X Model

P. V. Dong1 and H. N. Long2

1Theory Group, KEK, 1-1 Oho, Tsukuba 305-0801, Japan
2Institute of Physics, VAST, P.O. Box 429, Bo Ho, Hanoi 10000, Vietnam

Received 17 July 2007; Revised 27 March 2008; Accepted 18 April 2008

Academic Editor: John W. Norbury

Copyright © 2008 P. V. Dong and H. N. Long. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The SU(3)C⊗SU(3)L⊗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± and the bilepton gauge bosons Y±, as well as among the neutral non-Hermitian bilepton X0 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≃𝒪(1) GeV, v≃vweak=246 GeV, and ω≃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.