Production crosssections of prompt charm mesons are measured using data from $pp$ collisions at the LHC at a centreofmass energy of $5 $TeV. The data sample corresponds to an integrated luminosity of $8.60\pm0.33 $pb$^{1}$ collected by the LHCb experiment. The production crosssections of $D^0$, $D^+$, $D_s^+$, and $D^{*+}$ 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 crosssections for the four mesons, including chargeconjugate 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.
Distributions for selected $ D ^0 \to K^{} \pi^{+} $ candidates: (left) $ K^{} \pi^{+} $ invariant mass and (right) $\ln{\left(\chi^2_{\rm IP}\right)}$ for a mass window of $\pm\SI{20}{\mevcc}$ around the nominal $ D ^0$ mass. The sum of the simultaneous likelihood fits in each $ ( p_{\mathrm{T}} , y )$ bin is shown, with components as indicated in the legends. 
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Distributions for selected $ D ^+ \to K^{} \pi^{+} \pi^{+} $ candidates: (left) $ K^{} \pi^{+} \pi^{+} $ invariant mass and (right) $\ln{\left(\chi^2_{\rm IP}\right)}$ for a mass window of $\pm\SI{20}{\mevcc}$ around the nominal $ D ^+$ mass. The sum of the simultaneous likelihood fits in each $ ( p_{\mathrm{T}} , y )$ bin is shown, with components as indicated in the legends. 
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Distributions for selected $ D ^+_ s \to ( K^{} K^{+} )_{\phi}\pi^{+} $ candidates: (left) $ K^{+} K^{} \pi^{+} $ invariant mass and (right) $\ln{\left(\chi^2_{\rm IP}\right)}$ for a mass window of $\pm\SI{20}{\mevcc}$ around the nominal $ D ^+_ s $ mass. The sum of the simultaneous likelihood fits in each $ ( p_{\mathrm{T}} , y )$ bin is shown, with components as indicated in the legends. 
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Distributions for selected $ D ^{*+} \to D ^0 \pi^{+} $ candidates, with $ D ^0 \to K^{} \pi^{+} $ : (left) $\Delta{m} = m( D ^{*+} )  m( D ^0 )$ for a mass window of $\pm\SI{20}{\mevcc}$ around the nominal $ D ^0$ mass and (right) $\ln{\left(\chi^2_{\rm IP}\right)}$ of the $ D ^0$ with an additional mass window of $\pm\SI{3}{\mevcc}$ around the nominal $ D ^{*+}$ {} $ D ^0$ mass difference. The sum of the simultaneous likelihood fits in each $ ( p_{\mathrm{T}} , y )$ bin is shown, with components as indicated in the legends. 
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Measurements and predictions for the absolute prompt (top) $ D ^0$ , and (bottom) $ D ^+$ crosssections at $\sqrt{s} = \SI{5}{\TeV}$ . Each set of measurements and predictions in a given rapidity bin is offset by a multiplicative factor $10^{m}$, where the factor $m$ is shown on the plots. The boxes indicate the $\pm1\sigma$ uncertainty band on the theory predictions, where only the upper edge is shown if the uncertainty exceeds two orders of magnitude. 
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Measurements and predictions for the absolute prompt (top) $ D ^+_ s $ , and (bottom) $ D ^{*+}$ crosssections at $\sqrt{s} = \SI{5}{\TeV}$ . Each set of measurements and predictions in a given rapidity bin is offset by a multiplicative factor $10^{m}$, where the factor $m$ is shown on the plots. The boxes indicate the $\pm1\sigma$ uncertainty band on the theory predictions, where only the upper edge is shown if the uncertainty exceeds two orders of magnitude. 
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Measurements and predictions of the prompt $ D ^0$ , $ D ^+$ , $ D ^+_ s $ , and $ D ^{*+}$ crosssection ratios between $\sqrt{s} = 13$ and \SI{5}{\TeV}. Each set of measurements and predictions in a given rapidity bin is offset by an additive constant $m$, which is shown on the plot. Only central values are provided for the GMVFNS predictions. 
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Ratios of the measurements of crosssection times branching fraction of (top) $ D ^+$ , (middle) $ D ^+_ s $ , and (bottom) $ D ^{*+}$ mesons with respect to the $ D ^0$ measurements. The bands indicate the corresponding ratios computed using measurements from $ e^{+} e^{} $ collider experiments [42,43,44]. The ratios are given as a function of $ p_{\mathrm{T}}$ integrated over $ y$ . The notation $\sigma( D \to f )$ is shorthand for $\sigma(D)\times\mathcal{B} ( D \to f )$ . 
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Ratios of the measurements of crosssection times branching fraction of (top) $ D ^{*+}$ , and (middle) $ D ^+_ s $ mesons with respect to $ D ^+$ crosssections, and (bottom) $ D ^+_ s $ over $ D ^{*+}$ mesons. The bands indicate the corresponding ratios computed using measurements from $ e^{+} e^{} $ collider experiments [42,43,44]. The ratios are given as a function of $ p_{\mathrm{T}}$ integrated over $ y$ . The notation $\sigma( D \to f )$ is shorthand for $\sigma(D)\times\mathcal{B} ( D \to f )$ . 
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Integrated $ c \overline c $ crosssections (black diamonds), their average (black circle and blue band) and theory predictions (red squares) [1,2] are shown (left) based on the $ D ^0$ and $ D ^+$ for $0 < p_{\mathrm{T}} < \SI{8}{ {\mathrm{Ge V /}c}}$ and (right) for measurements based on all four mesons for $1 < p_{\mathrm{T}} < \SI{8}{ {\mathrm{Ge V /}c}}$. 
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Animated gif made out of all figures. 
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Prompt signal yields in the fully selected dataset, summed over all $ ( p_{\mathrm{T}} , y )$ bins in which a measurement is made. Only statistical uncertainties are given. 
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Fractional systematic uncertainties, in percent. Uncertainties that are computed binbybin are expressed as ranges giving the minimum to maximum values. Ranges for the correlations between $ p_{\mathrm{T}}$  $ y$ bins and between modes are also given, expressed in percent. 
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Prompt { $ D$ }meson production crosssections in the kinematic ranges given. The computation of the extrapolation factors is described in Ref [22]. The first uncertainty on the crosssection is statistical, and the second is systematic and includes the contribution from the extrapolation factor. A dash indicates that measurements are available in all bins and no extrapolation factor is needed. Integrated numbers in the reduced acceptance $2.5 < y < 4.0$ are quoted as reference for future heavy ion measurements. 
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Ratios of integrated prompt { $ D$ }meson production crosssections between measurements at $\sqrt{s} = \SI{13}{\TeV}$ and $\sqrt{s} = \SI{5}{\TeV}$ . The first uncertainty on the ratio is statistical, and the second is systematic. 
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Ratios of the measurements of crosssection times branching fraction in the kinematic range $1 < p_{\mathrm{T}} < \SI{8}{ {\mathrm{Ge V /}c}}$ and $2 < y < 4.5$. The first uncertainty on the ratio is statistical and the second is systematic. The notation $\sigma( D \to f )$ is shorthand for $\sigma(D)\times\mathcal{B} ( D \to f )$ . 
[Error creating the table]  
Differential production crosssections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, in $\si{\micro\barn}/(\si{ {\mathrm{Ge V /}c}})$ for prompt $ D ^0 + \overline{ D }{} {}^0 $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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Differential production crosssections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, in $\si{\micro\barn}/(\si{ {\mathrm{Ge V /}c}})$ for prompt $ D ^+ + D ^ $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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Differential production crosssections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, in $\si{\micro\barn}/(\si{ {\mathrm{Ge V /}c}})$ for prompt $ D ^+_ s + D ^_ s $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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Differential production crosssections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, in $\si{\micro\barn}/(\si{ {\mathrm{Ge V /}c}})$ for prompt $ D ^{*+} + D ^{*} $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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The ratios of differential production crosssections, $R_{13/5}$, for prompt $ D ^0 + \overline{ D }{} {}^0 $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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The ratios of differential production crosssections, $R_{13/5}$, for prompt $ D ^+ + D ^ $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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The ratios of differential production crosssections, $R_{13/5}$, for prompt $ D ^+_ s + D ^_ s $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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The ratios of differential production crosssections, $R_{13/5}$, for prompt $ D ^{*+} + D ^{*} $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. 
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The ratios of the measurements of crosssection times branching fraction for prompt $ D ^+$ and $ D ^0$ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. All values are given in percent. 
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The ratios of the measurements of crosssection times branching fraction for prompt $ D ^+_ s $ and $ D ^0$ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. All values are given in percent. 
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The ratios of the measurements of crosssection times branching fraction for prompt $ D ^{*+}$ and $ D ^0$ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. All values are given in percent. 
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The ratios of the measurements of crosssection times branching fraction for prompt $ D ^+_ s $ and $ D ^+$ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. All values are given in percent. 
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The ratios of the measurements of crosssection times branching fraction for prompt $ D ^{*+}$ and $ D ^+$ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. All values are given in percent. 
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The ratios of the measurements of crosssection times branching fraction for prompt $ D ^+_ s $ and $ D ^{*+}$ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic. All values are given in percent. 
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Supplementary material full pdf 
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This ZIP file contains supplemetary material for the publication LHCbPAPER2016042. The files are: supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.jpg, *.eps : The figures in various formats 
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Created on 20 February 2021.