CMS luminosity measurement for the 2017 data-taking period at $\sqrt{s} = 13~\mathrm{TeV}$

The calibration for the luminosity measurement by the CMS experiment for the 2017 proton-proton LHC run at $\sqrt{s} = 13~\mathrm{TeV}$ is described. The principal calibration is derived from the analysis of the van der Meer scan program in CMS taken during LHC fill 6016. In addition, the performance and stability of the CMS luminometers are also evaluated using emittance scans taken throughout the course of the year. The systematic uncertainty in the absolute calibration from the van der Meer scan is derived with a precision of $1.5\%$, with the dominant contributions arising from the $x$-$y$ correlations of the beam shape and the scan to scan variation. The total systematic uncertainty, including terms from stability and linearity effects, is $2.3\%$. The uncertainty for the special low-pileup run at the end of 2017 is also evaluated and found to be $1.7\%$.