2008/01/01 by P. V. Dong, H. N. Long · 35 citations
Physics and Astronomy · #Boson #Fermion #Gauge (firearms) #Gauge anomaly #Gauge boson #Hidden sector #Higgs boson #Higgs sector #Particle physics theoretical and experimental studies #Scalar (mathematics) #Standard Model (mathematical formulation) #hep-ph
paper · pdf · doi:10.1155/2008/739492
published in Advances in High Energy Physics 2008(1) (Hindawi Publishing Corporation) · 89 pages, 26 figures, accepted for publication in Advances in High Energy Physics
openalex publication_date 2008/01/01 · arxiv created 2008/04/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 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 ≃ 𝒪 (1) GeV, v ≃ v weak = 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.