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 to 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 $D^{\ast +}$ mesons are measured in bins of charm meson transverse momentum, $p_{\text{T}}$, and rapidity, $y$. They cover the rapidity range $2.0<y<4.5$ and transverse momentum ranges $0 < p_{$\text{T}$} < 10, $\text{GeV}$/c$for$D^0$and$D^+$and$1 < p_{$\text{T}$} < 10, $\text{GeV}$/c$for$D_s^+$and$D^{+}$ mesons. The inclusive cross-sections for the four mesons, including charge-conjugate states, within the range of $1 < p_{$\text{T}$} < 8, $\text{GeV}$/c$ are determined to be \sigma(pp\rightarrow D^0 X) = 1004 \pm 3 \pm 54,\mu$\text{b}$ \sigma(pp\rightarrow D^+ X) = 402 \pm 2 \pm 30,\mu$\text{b}$ \sigma(pp\rightarrow D_s^+ X) = 170 \pm 4 \pm 16,\mu$\text{b}$ \sigma(pp\rightarrow D^{+} X)= 421 \pm 5 \pm 36,\mu$\text{b}$ where the uncertainties are statistical and systematic, respectively.