In this work, we present a solution of the experimental anomaly in g − 2 for the Z ′ charges allowed by the anomaly equations and the constraints coming from the Yukawa Lagrangian terms. The Z ′ considered here has a minimum fermion content, i.e., our models contain only the standard model fermions, 3 right-handed neutrinos, and one exotic charged lepton. The allowed parameter space for g − 2 was obtained with a 68% confidence level. The region allowed by neutrino trident production m Z ′ /g Z ′ > 0.75~TeV was also found. A mass of 80~GeV was assumed for the exotic particle
