Measurement of W and Z boson inclusive cross sections in pp collisions at 5.02 and 13 TeV

Measurements of total inclusive and fiducial W and Z boson production cross sections in proton-proton collisions at $5.02\,$TeV and $13\,$TeV are presented. Electron and muon decay modes are studied in the data collected with the CMS detector in 2017, in dedicated runs with reduced instantaneous luminosity. The data sets correspond to integrated luminosities of $298 \pm6\,\mathrm{pb}^{-1}$ at $5.02\,$TeV and $201\pm 3\,\mathrm{pb}^{-1}$ at $13\,$TeV. The products of the measured total inclusive cross sections and the branching fractions are $\sigma(\mathrm{pp} \to \mathrm{W}^{\pm} + X)\mathcal{B}(\mathrm{W}^{\pm} \to \ell^{\pm}\nu ) = 7300 \pm 10 \mathrm{(stat)} \pm 30 \mathrm{(syst)} \pm 140 \mathrm{(lum)}\,\mathrm{pb}$, and $\sigma(\mathrm{pp} \to \mathrm{Z} + X)\mathcal{B}(\mathrm{Z} \to \ell^+\ell^-) = 669 \pm 2 \mathrm{(stat)} \pm 6 \mathrm{(syst)} \pm 13 \mathrm{(lum)}\,\mathrm{pb}$ for the dilepton invariant mass in the range of 60 to $120\,$GeV at $5.02\,$TeV, and correspondingly $21040 \pm 10 \mathrm{(stat)} \pm 180 \mathrm{(syst)} \pm 360 \mathrm{(lum)}\,\mathrm{pb}$ and $2006 \pm 4 \mathrm{(stat)} \pm 18 \mathrm{(syst)} \pm 33 \mathrm{(lum)}\,\mathrm{pb}$ at $13\,$TeV. The measured values agree with cross section calculations at next-to-next-to-leading-order in perturbative QCD. Inclusive and fiducial cross sections, ratios of cross sections of $\mathrm{W}^{\pm}$ to $\mathrm{Z}$ and $\mathrm{W}^{+}$ to $\mathrm{W}^{-}$, and the double ratios at different center-of-mass energies are reported.