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

Abstract: We examine current collider constraints on some simple $Z<sup>\prime$ 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 theMUM' simplified model are much weaker. A combination of the current $B_s$ mixing constraint and ATLAS' $Z<sup>\prime$ search implies $M_{Z<sup>\prime}&gt;1.2$ TeV in the Third Family Hypercharge Model example case. LHC SM measurements rule out a portion of the parameter space of the model for $M_{Z<sup>\prime}&lt;1.5$ TeV.