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}.

Comments: Minor modification in the conclusions, some refs added, to appear at MPLA