Abstract
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 TeV. The data sample corresponds to an integrated luminosity of $4.98 \pm 0.19 pb^{−1}$ 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, $p_T$, and rapidity, $y$, and cover the range $0 < p_T < 15GeV/c$ and $2.0 < y < 4.5$. The inclusive cross-sections for the four mesons, including charge conjugation, within the range of $1 < p_T < 8 GeV/c$ are found to be
$\sigma (pp \to D^0X) = 2460 \pm 3 \pm 130 \mu b$
$\sigma (pp \to D^+X) = 1000 \pm 3 \pm 110 \mu b$
$\sigma (pp \to D^+_sX) = 460 \pm 13 \pm 100 \mu b$
$\sigma (pp \to D^{∗+}X) = 880 \pm 5 \pm 140 \mu b$
where the uncertainties are due to statistical and systematic uncertainties, respectively.