Fermion family number and the Z-Z$^{\prime}$ mixing in the 3-3-1 model with right-handed neutrinos

Abstract

Theoretical consistency of the 3-3-1 model with right-handed neutrinos demands that the number of family of fermions be exactly equal to three. In this brief report we show that such theoretical requirement results in a clean and severe bound on the Z-Z$^{\prime}$ mixing angle: $-3,979\times 10^{-3}<\phi<1,309\times 10^{-4} {with 90% CL}$.