Collider Constraints on $Z^{\mathrm{\prime }}$ Models for Neutral Current $B-$Anomalies

We examine current collider constraints on some simple $Z^{\mathrm{\prime }}$ models that fit neutral current $B-$anomalies, including constraints coming from measurements of Standard Model (SM) signatures at the LHC. The MDM' simplified model is not constrained by the SM measurements but {\em is} strongly constrained by a 139 fb$^{-1}$ 13 TeV ATLAS di-muon search. Constraints upon the MUM’ simplified model are much weaker. A combination of the current $B_s$ mixing constraint and ATLAS’ $Z^{\mathrm{\prime }}$ search implies $M_{Z^{\mathrm{\prime }}}>1.2$ TeV in the Third Family Hypercharge Model example case. LHC SM measurements rule out a portion of the parameter space of the model for $M_{Z^{\mathrm{\prime }}}<1.5$ TeV.