Measurements of prompt charm production cross-sections in $pp$ collisions at $\sqrt{s}=13\mathrm{T}\mathrm{e}\mathrm{V}$

Production cross-sections of prompt charm mesons are measured with the first data from $pp$ collisions at the LHC at a centre-of-mass energy of $13\mathrm{T}\mathrm{e}\mathrm{V}$. The data sample corresponds to an integrated luminosity of $4.98\pm 0.19{\mathrm{p}\mathrm{b}}^{-1}$ collected by the LHCb experiment. The production cross-sections of $D^0$, $D^{+}$, $D_s^{+}$, and $D^{\ast +}$ mesons are measured in bins of charm meson transverse momentum, $p_{\mathrm{T}}$, and rapidity, $y$, and cover the range $0<p_{\mathrm{T}}<15\mathrm{G}\mathrm{e}\mathrm{V}\mathrm{/}c$ and $2.0<y<4.5$. The inclusive cross-sections for the four mesons, including charge conjugation, within the range of $1 < p_{$\mathrm{T}$} < 8,$\mathrm{G}\mathrm{e}\mathrm{V}$/c$ are found to be \begin{equation} \sigma(pp \to D^{0} X) = 2072 \pm 2 \pm 124,\mu$\mathrm{b}$\ \sigma(pp \to D^{+} X) = 834 \pm 2 \pm \phantom{1}78,\mu$\mathrm{b}$\ \sigma(pp \to D_{s}^{+} X) = 353 \pm 9 \pm \phantom{1}76,\mu$\mathrm{b}$\ \sigma(pp \to D^{*+} X) = 784 \pm 4 \pm \phantom{1}87,\mu$\mathrm{b}$ \end{equation} where the uncertainties are due to statistical and systematic uncertainties, respectively.