Measurements of prompt charm production cross-sections in $pp$ collisions at $sqrt{s} = 13,mathrm{TeV}$

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