Measurements of prompt charm production cross-sections in pp collisions at \( \sqrt{s}=13 \) 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 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 $0 u003c p_{mathrm{T}} u003c 15,mathrm{GeV}/c$ and $2.0 u003c y u003c 4.5$. The ratios of the integrated cross-sections between charm mesons agree with previously measured fragmentation fractions. The inclusive $coverline{c}$ cross-section within the range of $0 u003c p_{mathrm{T}} u003c 8,mathrm{GeV}/c$ is found be [ sigma(pp to coverline{c}X) = 2940 pm 3 pm 180 pm 160,mumathrm{b} ] where the uncertainties are due statistical, systematic and fragmentation fraction uncertainties, respectively.