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We examine current Large Hadron Collider constraints on some simple $Z'$models that significantly improve on Standard Model fits to $b\to s\mu^+\mu^-$transition data. The models that we consider are the 'third family baryonnumber minus second family lepton number' $(B_3-L_2)$ model and the 'thirdfamily hypercharge' model and variants. The constraints are applied onparameter regions of each model that fit the $b\to s\mu^+\mu^-$ transition dataand come from high-mass Drell-Yan di-muons and measurements of Standard Modelprocesses. This latter set of observables place particularly strong bounds uponthe parameter space of the $B_3-L_2$ model when the mass of the $Z'$ boson isless than 300 GeV.

Large Hadron Collider Constraints on Some Simple $Z'$ Models for $b\to s\mu^+\mu^-$ Anomalies