Measurement of the inclusive cross sections for W and Z boson production in proton-proton collisions at = 5$\textit{.}$02 and 13 TeV

Measurements of fiducial and total inclusive cross sections for W and Z boson production are presented in proton-proton collisions at = 5.02 and 13 TeV. Electron and muon decay modes ($\textit{ℓ}$ = e or $\textit{μ}$) 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 ± 6 pb at 5.02 TeV and 206 ± 5 pb at 13 TeV. Measured values of the products of the total inclusive cross sections and the branching fractions at 5.02 TeV are $\textit{σ}$(pp $\textit{→}$ W + X) (W $\textit{→ ℓν}$) = 7300 $\textit{±}$ 10 (stat) $\textit{±}$ 60 (syst) $\textit{±}$ 140 (lumi) pb, and $\textit{σ}$(pp $\textit{→}$ Z+X) (Z $\textit{→ ℓ}$ $\textit{ℓ}$ ) = 669 $\textit{±}$ 2 (stat) $\textit{±}$ 6 (syst) $\textit{±}$ 13 (lumi) pb for the dilepton invariant mass in the range of 60–120 GeV. The corresponding results at 13 TeV are 20480 $\textit{±}$ 10 (stat) $\textit{±}$ 170 (syst) $\textit{±}$ 470 (lumi) pb and 1952 $\textit{±}$ 4 (stat) $\textit{±}$ 18 (syst) $\textit{±}$ 45 (lumi) pb. The measured values agree with cross section calculations at next-to-next-to-leading-order in perturbative quantum chromodynamics. Fiducial and total inclusive cross sections, ratios of cross sections of W and W production as well as inclusive W and Z boson production, and ratios of these measurements at 5.02 and 13 TeV are reported.