Measurements of prompt charm production cross-sections in pp collisions at $ \sqrt{s}=5 $ TeV

Production cross-sections of prompt charm mesons are measured using data from pp collisions at the LHC at a centre-of-mass energy of 5 TeV. The data sample corresponds an integrated luminosity of $8.60 pm 0.33 pb^{−1}$ 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, $y$. They cover the rapidity range $2.0 u003c y u003c 4.5$ and transverse momentum ranges $0 u003c p_T u003c 10 GeV/c$ for $D^0$ and $D^+$ and $1 u003c p_T u003c 10 GeV/c$ for $D_s^+$ and $D^{∗+}$ mesons. The inclusive cross-sections for the four mesons, including charge-conjugate states, within the range of $1 u003c p_T u003c 8 GeV/c$ are determined be$sigma(pp to D^0 X) = 1004 pm 3 pm 54mu b,$$sigma(pp to D^+X) = 402 pm 2 pm 30mu b,$$sigma(pp to D^+_sX) = 170 pm 4 pm 16mu b,$$sigma(pp to D^{∗+}X) = 421 pm 5 pm 36mu b,$where the uncertainties are statistical and systematic, respectively.