Production crosssections of prompt charm mesons are measured with the first data from $pp$ collisions at the LHC at a centreofmass energy of $13\,\mathrm{TeV}$. The data sample corresponds to an integrated luminosity of $4.98 \pm 0.19\,\mathrm{pb}^{1}$ 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, $p_{\mathrm{T}}$, and rapidity, $y$, and cover the range $0 < p_{\mathrm{T}} < 15\,\mathrm{GeV}/c$ and $2.0 < y < 4.5$. The inclusive crosssections for the four mesons, including charge conjugation, within the range of $1 < p_{\mathrm{T}} < 8\,\mathrm{GeV}/c$ are found to be \begin{equation} \sigma(pp \to D^{0} X) = 2072 \pm 2 \pm 124\,\mu\mathrm{b}\\ \sigma(pp \to D^{+} X) = 834 \pm 2 \pm \phantom{1}78\,\mu\mathrm{b}\\ \sigma(pp \to D_{s}^{+} X) = 353 \pm 9 \pm \phantom{1}76\,\mu\mathrm{b}\\ \sigma(pp \to D^{*+} X) = 784 \pm 4 \pm \phantom{1}87\,\mu\mathrm{b} \end{equation} where the uncertainties are due to statistical and systematic uncertainties, respectively.
Distributions for selected $ D^{0} \to K^{} \pi^{+} $ candidates: (left) $ K^{} \pi^{+} $ invariant mass and (right) $\ln{\chi^2_{\rm IP}}$ 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. 
Fig1a.pdf [60 KiB] HiDef png [366 KiB] Thumbnail [76 KiB] *.C file 

Fig1b.pdf [65 KiB] HiDef png [351 KiB] Thumbnail [72 KiB] *.C file 

Distributions for selected $ D^{+} \to K^{} \pi^{+} \pi^{+} $ candidates: (left) $ K^{} \pi^{+} \pi^{+} $ invariant mass and (right) $\ln{\chi^2_{\rm IP}}$ 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. 
Fig2a.pdf [60 KiB] HiDef png [360 KiB] Thumbnail [74 KiB] *.C file 

Fig2b.pdf [65 KiB] HiDef png [350 KiB] Thumbnail [71 KiB] *.C file 

Distributions for selected $ D_{ s }^{+} \to ( K^{} K^{+} )_{\phi}\pi^{+} $ candidates: (left) $ K^{+} K^{} \pi^{+} $ invariant mass and (right) $\ln{\chi^2_{\rm IP}}$ 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. 
Fig3a.pdf [61 KiB] HiDef png [338 KiB] Thumbnail [71 KiB] *.C file 

Fig3b.pdf [65 KiB] HiDef png [335 KiB] Thumbnail [70 KiB] *.C file 

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) $\ln{\chi^2_{\rm IP}}$ 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. 
Fig4a.pdf [80 KiB] HiDef png [377 KiB] Thumbnail [77 KiB] *.C file 

Fig4b.pdf [65 KiB] HiDef png [369 KiB] Thumbnail [73 KiB] *.C file 

Measurements and predictions for the absolute prompt (top) $ D^{0}$ , and (bottom) $ D^{+}$ crosssections at $\sqrt{s} = \SI{13}{\TeV}$ . 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. In cases where this band spans more than two orders of magnitude only its upper edge is indicated. 
Fig5a.pdf [242 KiB] HiDef png [264 KiB] Thumbnail [84 KiB] *.C file 

Fig5b.pdf [243 KiB] HiDef png [269 KiB] Thumbnail [86 KiB] *.C file 

Measurements and predictions for the absolute prompt (top) $ D_{ s }^{+}$ , and (bottom) $ D^{*+}$ crosssections at $\sqrt{s} = \SI{13}{\TeV}$ . 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. In cases where this band spans more than two orders of magnitude only its upper edge is indicated. 
Fig6a.pdf [234 KiB] HiDef png [163 KiB] Thumbnail [59 KiB] *.C file 

Fig6b.pdf [239 KiB] HiDef png [218 KiB] Thumbnail [72 KiB] *.C file 

Measurements and predictions of the prompt $ D^{0}$ , $ D^{+}$ , $ D_{ s }^{+}$ , and $ D^{*+}$ crosssection ratios. The dashdotted lines indicate the unit ratio for each of the rapidity intervals and the dashed lines indicate a ratio of two. Each set of measurements and predictions in a given rapidity bin is offset by an additive constant $m$, which is shown on the plot. No prediction is available for the $ D_{ s }^{+}$ ratio. 
Fig7a.pdf [172 KiB] HiDef png [381 KiB] Thumbnail [141 KiB] *.C file 

Fig7b.pdf [171 KiB] HiDef png [326 KiB] Thumbnail [130 KiB] *.C file 

Fig7c.pdf [167 KiB] HiDef png [227 KiB] Thumbnail [112 KiB] *.C file 

Fig7d.pdf [200 KiB] HiDef png [316 KiB] Thumbnail [116 KiB] *.C file 

Ratios of crosssectiontimesbranchingfraction measurements 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 [40,41,42]. The ratios are given as a function of $ p_{\mathrm{T}}$ and different symbols indicate different ranges in $ y$ . The notation $\sigma( D \to f )$ is shorthand for $\sigma(D)\times\mathcal{B} ( D \to f )$ . 
Fig8a.pdf [236 KiB] HiDef png [258 KiB] Thumbnail [77 KiB] *.C file 

Fig8b.pdf [236 KiB] HiDef png [272 KiB] Thumbnail [83 KiB] *.C file 

Fig8c.pdf [236 KiB] HiDef png [279 KiB] Thumbnail [82 KiB] *.C file 

Integrated 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 $0 < p_{\mathrm{T}} < \SI{8}{\gevc}$ and (right) for measurements based on all four mesons for $1 < p_{\mathrm{T}} < \SI{8}{\gevc}$. The "absolute" predictions are based on calculations of the \SI{13}{\TeV} crosssection, while the "scaled" predictions are based on calculations of the $13$ to \SI{7}{\TeV} ratio multiplied with the LHCb measurement at \SI{7}{\TeV} [16]. 
Fig9a.pdf [225 KiB] HiDef png [241 KiB] Thumbnail [80 KiB] *.C file 

Fig9b.pdf [225 KiB] HiDef png [166 KiB] Thumbnail [57 KiB] *.C file 

Ratios of crosssectiontimesbranchingfraction measurements 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 [40,41,42]. The ratios are given as a function of $ p_{\mathrm{T}}$ and different symbols indicate different ranges in $ y$ . The notation $\sigma( D \to f )$ is shorthand for $\sigma(D)\times\mathcal{B} ( D \to f )$ . 
Fig10a.pdf [236 KiB] HiDef png [279 KiB] Thumbnail [84 KiB] *.C file 

Fig10b.pdf [236 KiB] HiDef png [274 KiB] Thumbnail [84 KiB] *.C file 

Fig10c.pdf [236 KiB] HiDef png [280 KiB] Thumbnail [82 KiB] *.C file 

Animated gif made out of all figures. 
PAPER2015041.gif Thumbnail 
Prompt signal yields in the fully selected dataset, summed over all ( $ p_{\mathrm{T}}$ , $ y$ ) bins in which a measurement is made. 
Table_1.pdf [51 KiB] HiDef png [108 KiB] Thumbnail [16 KiB] tex code 

Systematic uncertainties expressed as fractions of the crosssection measurements, 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. 
Table_2.pdf [47 KiB] HiDef png [93 KiB] Thumbnail [15 KiB] tex code 

Prompt charm production crosssections in the kinematic ranges given. The computation of the extrapolation factors is described in the text. The first uncertainty on the crosssection is statistical, and the second is systematic and includes the contribution from the extrapolation factor. No extrapolation factor is given for $ D^{+} _{( s )}$ as a measurement is available in every bin of the integrated phase space. 
Table_3.pdf [60 KiB] HiDef png [120 KiB] Thumbnail [21 KiB] tex code 

Ratios of integrated crosssectiontimesbranchingfraction measurements in the kinematic range $1 < p_{\mathrm{T}} < \SI{8}{\gevc}$ 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] 
Supplementary material full pdf 
supple[..].pdf [564 KiB] 

This ZIP file contains supplemetary material for the publication LHCbPAPER2014041. The files are: supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.jpg, *.eps : The figures in various formats 
Fig1aS.pdf [270 KiB] HiDef png [130 KiB] Thumbnail [43 KiB] *C file 

Fig1bS.pdf [273 KiB] HiDef png [143 KiB] Thumbnail [45 KiB] *C file 

Fig2aS.pdf [269 KiB] HiDef png [136 KiB] Thumbnail [44 KiB] *C file 

Fig2bS.pdf [268 KiB] HiDef png [137 KiB] Thumbnail [44 KiB] *C file 

Fig3aS.pdf [167 KiB] HiDef png [87 KiB] Thumbnail [38 KiB] *C file 

Fig3bS.pdf [167 KiB] HiDef png [86 KiB] Thumbnail [37 KiB] *C file 

Fig4aS.pdf [166 KiB] HiDef png [85 KiB] Thumbnail [34 KiB] *C file 

Fig4bS.pdf [165 KiB] HiDef png [83 KiB] Thumbnail [34 KiB] *C file 
Created on 16 February 2019.Citation count from INSPIRE on 16 February 2019.