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Measurements are presented of differential cross sections for the productionof Z bosons in association with at least one jet initiated by a charm quark inpp collisions at $\sqrt{s} =$ 13 TeV. The data recorded by the CMS experimentat the LHC correspond to an integrated luminosity of 35.9 fb$^{-1}$. The finalstates that contain a pair of electrons or muons that are the decay products ofa Z boson, and a jet consistent with being initiated by a charm quark producedin the hard interaction. Differential cross sections as a function of the$p_\mathrm{T}$ of the Z boson and $p_\mathrm{T}$ of the charm jet are comparedwith predictions from Monte Carlo event generators. The inclusive productioncross section 405.4 $\pm$ 5.6 (stat) $\pm$ 24.3 (exp) $\pm$ 3.7 (theo) pb, ismeasured in a fiducial region requiring both leptons to have $\vert\eta\vert$$\lt$ 2.4 and $p_\mathrm{T}$ $\gt$ 10 GeV, at least one lepton with$p_\mathrm{T}$ $\gt$ 26 GeV, and a mass of the pair in the range 71-111 GeV,while the charm jet is required to have $p_\mathrm{T}$ $\gt$ 30 GeV and$\vert\eta\vert$ $\lt$ 2.4. These are the first measurements of these crosssections in proton-proton collisions at 13 TeV.

Measurement of differential cross sections for Z bosons produced in association with charm jets in pp collisions at $\sqrt{s} =$ 13 TeV