标题：The Economical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>SU</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>C</mml:mi></mml:msub><mml:mo>⊗</mml:mo><mml:mi>SU</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>L</mml:mi></mml:msub><mml:mo>⊗</mml:mo><mml:mtext>U</mml:mtext><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>X</mml:mi></mml:msub></mml:math> Model
摘要：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.
