Gauge Bosons in the 3-3-1 Model with Three Neutrino Singlets

Abstract

We show that the mass matrix of electrically neutral gauge bosons in the recent proposed  model based on \(\mathrm{SU}(3)_C\otimes \mathrm{SU}(3)_L\otimes \mathrm{U}(1)_X\) group with three neutrino singlets [9] has two exact eigenvalues and corresponding eigenvectors. Hence the neutral non-Hermitian gauge boson \(X^0_\mu\) is properly determined.With extra vacuum expectation values of the Higgs fields, there are mixings among charged gauge bosons \(W^\pm\) and \(Y^\pm\) as well as amongneutral gauge bosons \(Z, Z'\) and \(X^0\). From the $W$ boson decay width, we get lower bound on  scale of the model about few TeVs.