Neutral Current in Reduced Minimal 3-3-1 Model

Abstract

This work is devoted for gauge boson sector of the recently
proposed model based on \(\mathrm{SU}(3)_C\otimes \mathrm{SU}(3)_L
\otimes \mathrm{U}(1)_X\) group with minimal content of leptons and
Higgses. The limits on the masses of the bilepton gauge bosons and
on the mixing angle among the neutral ones are deduced. Using the
Fritzsch anzats on quark mixing, we show that the third family of
quarks should  be different from the first two. We obtain a lower
bound on mass of the new heavy neutral gauge boson as 4.032 TeV.
Using data on branching decay rates of the \(Z\) boson,
we  can fix the limit to the \(Z\) and $Z^\prime$ mixing angle
\(\phi\) as \(-0.001\le\phi\le 0.0003\).