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We consider a class of minimal anomaly free $\mathrm{U}(1)$ extensions of theStandard Model with three generations of right-handed neutrinos and a complexscalar. Using electroweak precision constraints, new 13 TeV LHC data, andconsidering theoretical limitations such as perturbativity, we show that it ispossible to constrain a wide class of models. By classifying these models witha single parameter, $\kappa$, we can put a model independent upper bound on thenew $\mathrm{U}(1)$ gauge coupling $g_z$. We find that the new dilepton dataputs strong bounds on the parameters, especially in the mass region$M_{Z'}\lesssim 3~ \mathrm{TeV}$.

Constraining minimal anomaly free $\mathrm{U}(1)$ extensions of the Standard Model