Measurement of prompt open-charm production cross sections in proton-proton collisions at $\sqrt{s} = $ 13 TeV

The production cross sections for prompt open-charm mesons in proton-proton collisions at a center-of-mass energy of 13 TeV are reported. The measurement is performed using a data sample collected by the CMS experiment corresponding to an integrated luminosity of 29 nb$^{-1}$. The differential production cross sections of the D$^{*\pm}$, D$^\pm$, and D$^0$ ($\overline{\mathrm{D}}^{0}$) mesons are presented in ranges of transverse momentum and pseudorapidity 4 $\lt$ $p_\mathrm{T}$ $\lt$ 100 GeV and $\lvert\eta\rvert$ $\lt$ 2.1, respectively. The results are compared to several theoretical calculations and to previous measurements.