Measurements of the $\mathrm{pp}\to\mathrm{WZ}$ inclusive and differential production cross section and constraints on charged anomalous triple gauge couplings at $\sqrt{s} = 13~\mathrm{TeV}$.

The $\mathrm{WZ}$ production cross section is measured in proton-proton collisions using $35.9~\mathrm{fb}^{-1}$ of data collected with the CMS detector. An estimate of the inclusive cross section yields a result of $\sigma_{\textrm{tot}}(\mathrm{pp} \rightarrow \mathrm{WZ}) = 48.09 \textrm{ }^{+1.00}_{-0.96}~(\mathrm{stat}) \textrm{ }^{+0.44}_{-0.37}~(\textrm{theo}) \textrm{ }^{+2.39}_{-2.17}~(\mathrm{syst}) \pm 1.39~(\textrm{lumi})~\mathrm{pb}$, for a total uncertainty of $-2.78$ and $+2.98~\mathrm{pb}$. Fiducial and charge asymmetry measurements are provided. Differential cross section measurements are also presented with respect to three variables: the $\mathrm{Z}$ boson $p_{\mathrm{T}}$, the leading jet $p_{\mathrm{T}}$, and the $M_{\mathrm{WZ}}$ variable, defined as the invariant mass of the system composed of the three leptons and the missing transverse momentum. Differential measurements with respect to the $\mathrm{W}$ boson $p_{\mathrm{T}}$, split by charge, are also shown. Results are consistent with standard model predictions, favouring next-to-next-to-leading-order calculations. Constraints on anomalous triple gauge couplings are derived via a binned maximum likelihood fit to the $M_{\mathrm{WZ}}$ variable.