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.

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.

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.

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.

Measurements and predictions for the absolute prompt (top) $ D ^0$ , and (bottom) $ D ^+$ cross-sections 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.

Measurements and predictions for the absolute prompt (top) $ D ^+_ s $ , and (bottom) $ D ^{*+}$ cross-sections 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.

Measurements and predictions of the prompt $ D ^0$ , $ D ^+$ , $ D ^+_ s $ , and $ D ^{*+}$ cross-section 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.

Ratios of the measurements of cross-section 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 $\sigma(D)\times\mathcal{B} ( D \to f )$ .

Ratios of the measurements of cross-section times branching fraction of (top) $ D ^{*+}$ , and (middle) $ D ^+_ s $ mesons with respect to $ D ^+$ cross-sections, 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 $\sigma(D)\times\mathcal{B} ( D \to f )$ .

Integrated $ c \overline c $ cross-sections (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 $1 < p_{\mathrm{T}} < \SI{8}{ {\mathrm{Ge V /}c}}$.

Animated gif made out of all figures.

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.

Fractional systematic uncertainties, in percent. Uncertainties that are computed bin-by-bin 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.

Prompt { $ D$ }-meson production cross-sections in the kinematic ranges given. The computation of the extrapolation factors is described in Ref [22]. The first uncertainty on the cross-section 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.

Ratios of integrated prompt { $ D$ }-meson production cross-sections 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.

Ratios of the measurements of cross-section 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 $\sigma(D)\times\mathcal{B} ( D \to f )$ .

Differential production cross-sections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, 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.

Differential production cross-sections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, 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.

Differential production cross-sections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, 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.

Differential production cross-sections, $\text{d}^2\sigma/(\text{d} p_{\mathrm{T}} \text{d}y)$, 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.

The ratios of differential production cross-sections, $R_{13/5}$, 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.

The ratios of differential production cross-sections, $R_{13/5}$, for prompt $ D ^+ + D ^- $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic.

The ratios of differential production cross-sections, $R_{13/5}$, 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.

The ratios of differential production cross-sections, $R_{13/5}$, for prompt $ D ^{*+} + D ^{*-} $ mesons in bins of $ ( p_{\mathrm{T}} , y )$ . The first uncertainty is statistical, and the second is the total systematic.

The ratios of the measurements of cross-section 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.

The ratios of the measurements of cross-section 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.

The ratios of the measurements of cross-section 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.

The ratios of the measurements of cross-section 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.

The ratios of the measurements of cross-section 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.

The ratios of the measurements of cross-section 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.

Supplementary material full pdf

This ZIP file contains supplemetary material for the publication LHCb-PAPER-2016-042. The files are: supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.jpg, *.eps : The figures in various formats