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In this paper, we explore the constraints that the LHC can place on a massivegauge boson $X$ that predominantly couples to the third generation of fermions.Such a gauge boson arises in scenarios where the $B-L$ of the third generationis gauged. We focus on the mass range $10 \leq m_X \lesssim 2\,m_W$, wherecurrent constraints are lacking, and develop a dedicated search strategy. Forthis mass range, we show that $b \bar b \tau^+ \tau^-$, where at least one ofthe $\tau$s decay leptonically is the optimal channel to look for the $X$ atthe LHC. The QCD production of $b$ quarks, combined with the cleanliness of theleptons coming from the decay of the $\tau$ allow us to detect $X$ gauge bosonwith couplings of $g_X \sim(0.005-0.01)$, for $m_X < 50 \ \text{GeV}$, and acoupling of $O(0.1)$ for heavier $X$ gauge boson with $100 \ \text{fb}^{-1}$ ofintegrated luminosity. This is about a factor of 2-10 improvement over previousconstraints coming from the decay of $\Upsilon \to \tau^+ \tau^-$.Extrapolating to the full HL-LHC luminosity of $3000 \ \text{fb}^{-1}$, thebounds on $g_X$ can be enhanced by another factor of $\sqrt{2}$ for $m_X < 50 \\text{GeV}$.

LHC Constraints on a $(B-L)_3$ Gauge Boson