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We explore the physics of a new neutral gauge boson, ($Z^\prime$), couplingto only third-generation particles with a mass near the electroweak gauge bosonmass poles. A $Z^\prime$ boson produced by top quarks and decaying to tauleptons is considered. With a simple search strategy inspired by existinganalyses of the standard model gauge boson production in association with topquarks, we show that the Large Hadron Collider has good exclusionary power overthe model parameter space of the $Z^\prime$ boson even at the advent of thehigh-luminosity era. It is shown that the $t\bar{t}Z^\prime$ process allows oneto place limits on right-handed top couplings with a $Z^\prime$ boson thatpreferentially couples to third generation fermions, which are at present veryweakly constrained.

A heavy neutral gauge boson near the Z boson mass pole via third generation fermions at the LHC