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| CMS-BPH-18-003 ; CERN-EP-2021-085 | ||
| Measurement of prompt open-charm production cross sections in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 3 July 2021 | ||
| JHEP 11 (2021) 225 | ||
| Abstract: The production cross sections for prompt open-charm mesons in proton-proton collisions at a center-of-mass energy of 13 TeV are reported. The measurement is performed using a data sample collected by the CMS experiment corresponding to an integrated luminosity of 29 nb$^{-1}$. The differential production cross sections of the ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$, ${\mathrm{D^{\pm}}}$, and ${\mathrm{D^0}}$ ($\mathrm{\overline{D}{}^{0}}$) mesons are presented in ranges of transverse momentum and pseudorapidity 4 $ < {p_{\mathrm{T}}} < $ 100 GeV and $|{\eta}| < $ 2.1, respectively. The results are compared to several theoretical calculations and to previous measurements. | ||
| Links: e-print arXiv:2107.01476 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
The invariant mass distributions: $\Delta M = M(\mathrm{K^{-}} \pi^{+} {\pi ^+_{\mathrm {s}}}) - M(\mathrm{K^{-}} \pi^{+})$ (upper), $M(\mathrm{K^{-}} \pi^{+})$ (middle), and $M(\mathrm{K^{-}} \pi^{+} \pi^{+})$ (lower); charge conjugation is implied. Plots in the left column show the 5 $ < {p_{\mathrm {T}}} < $ 6 GeV bin, while the 16 $ < {p_{\mathrm {T}}} < $ 24 GeV bin is shown in the right column. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line, and, in the middle plots, the fit to the K/$\pi$ swapped candidates by the red dot-dashed line. |
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Figure 1-a:
The $\Delta M = M(\mathrm{K^{-}} \pi^{+} {\pi ^+_{\mathrm {s}}}) - M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the 5 $ < {p_{\mathrm {T}}} < $ 6 GeV bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line. |
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Figure 1-b:
The $\Delta M = M(\mathrm{K^{-}} \pi^{+} {\pi ^+_{\mathrm {s}}}) - M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the 16 $ < {p_{\mathrm {T}}} < $ 24 GeV bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line. |
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Figure 1-c:
The $M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the 5 $ < {p_{\mathrm {T}}} < $ 6 GeV bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line, and the fit to the K/$\pi$ swapped candidates by the red dot-dashed line. |
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Figure 1-d:
The $M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the 16 $ < {p_{\mathrm {T}}} < $ 24 GeV bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line, and the fit to the K/$\pi$ swapped candidates by the red dot-dashed line. |
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Figure 1-e:
The $M(\mathrm{K^{-}} \pi^{+} \pi^{+})$ invariant mass distribution in the 5 $ < {p_{\mathrm {T}}} < $ 6 GeV bin ;charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line. |
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Figure 1-f:
The $M(\mathrm{K^{-}} \pi^{+} \pi^{+})$ invariant mass distribution in the 16 $ < {p_{\mathrm {T}}} < $ 24 GeV bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, the fit to the combinatorial background by the dotted line. |
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Figure 2:
The invariant mass distributions: $\Delta M = M(\mathrm{K^{-}} \pi^{+} {\pi ^+_{\mathrm {s}}}) - M(\mathrm{K^{-}} \pi^{+})$ (upper), $M(\mathrm{K^{-}} \pi^{+})$ (middle), and $M(\mathrm{K^{-}} \pi^{+} \pi^{+})$ (lower); charge conjugation is implied. Plots in the left column show the $ {| \eta |} < $ 0.2 bin, while the 1.6 $ < {| \eta |} < $ 1.8 bin is shown in the right column. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line, and, in the middle plots, the fit to the K/$\pi$ swapped candidates by the red dot-dashed line. |
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Figure 2-a:
The $\Delta M = M(\mathrm{K^{-}} \pi^{+} {\pi ^+_{\mathrm {s}}}) - M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the $ {| \eta |} < $ 0.2 bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line. |
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Figure 2-b:
The $\Delta M = M(\mathrm{K^{-}} \pi^{+} {\pi ^+_{\mathrm {s}}}) - M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the 1.6 $ < {| \eta |} < $ 1.8 bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line. |
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Figure 2-c:
The $M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the $ {| \eta |} < $ 0.2 bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line, and the fit to the K/$\pi$ swapped candidates by the red dot-dashed line. |
png pdf |
Figure 2-d:
The $M(\mathrm{K^{-}} \pi^{+})$ invariant mass distribution in the 1.6 $ < {| \eta |} < $ 1.8 bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line, and the fit to the K/$\pi$ swapped candidates by the red dot-dashed line. |
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Figure 2-e:
The $M(\mathrm{K^{-}} \pi^{+} \pi^{+})$ invariant mass distribution in the $ {| \eta |} < $ 0.2 bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line. |
png pdf |
Figure 2-f:
The $M(\mathrm{K^{-}} \pi^{+} \pi^{+})$ invariant mass distribution in the 1.6 $ < {| \eta |} < $ 1.8 bin ; charge conjugation is implied. The vertical bars on the points represent the statistical uncertainties in the data. The overall result from the fit is shown by the solid line, and the fit to the combinatorial background by the dotted line. |
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Figure 3:
The nonprompt fractions found from simulation, as a function of ${p_{\mathrm {T}}}$ (left) and $ {| \eta |}$ (right) for $\mathrm{D^{*+}}$ (squares), ${\mathrm{D^0}}$ (circles), and ${\mathrm{D^+}}$ (triangles) mesons. The vertical lines represent the statistical uncertainties and the horizontal lines the bin widths. |
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Figure 3-a:
The nonprompt fractions found from simulation, as a function of ${p_{\mathrm {T}}}$ (squares), ${\mathrm{D^0}}$ (circles), and ${\mathrm{D^+}}$ (triangles) mesons. The vertical lines represent the statistical uncertainties and the horizontal lines the bin widths. |
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Figure 3-b:
The nonprompt fractions found from simulation, as a function of $ {| \eta |}$ for $\mathrm{D^{*+}}$ (squares), ${\mathrm{D^0}}$ (circles), and ${\mathrm{D^+}}$ (triangles) mesons. The vertical lines represent the statistical uncertainties and the horizontal lines the bin widths. |
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Figure 4:
Differential cross sections $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ (upper) and $ {\mathrm {d}}\sigma / {\mathrm {d}} {| \eta |}$ (lower) for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
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Figure 4-a:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
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Figure 4-b:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {| \eta |}$ for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
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Figure 5:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ (upper) and $ {\mathrm {d}}\sigma / {\mathrm {d}} {| \eta |}$ (lower) for prompt ${\mathrm{D^0}}$ ($\mathrm{\overline{D}{}^{0}}$) meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
png pdf |
Figure 5-a:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${\mathrm{D^0}}$ ($\mathrm{\overline{D}{}^{0}}$) meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
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Figure 5-b:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {| \eta |}$ for prompt ${\mathrm{D^0}}$ ($\mathrm{\overline{D}{}^{0}}$) meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
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Figure 6:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ (upper) and $ {\mathrm {d}}\sigma / {\mathrm {d}} {| \eta |}$ (lower) for prompt ${\mathrm{D^{\pm}}}$ meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
png pdf |
Figure 6-a:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${\mathrm{D^{\pm}}}$ meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
png pdf |
Figure 6-b:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {| \eta |}$ for prompt ${\mathrm{D^{\pm}}}$ meson production. Black markers represent the data and are compared with several MC simulation models and theoretical predictions. The statistical and total uncertainties are shown by the inner and outer vertical lines, respectively. The FONLL band represents the standard uncertainties in the prediction as detailed in the text. The lower panel gives the ratios of the predictions to the data. |
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Figure 7:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ (left) and ${\mathrm{D^{\pm}}}$ (right) meson production, comparing the production from CMS (black circles, prompt, this paper) at $\sqrt {s} = $ 13 TeV and ATLAS (red squares, prompt $+$ nonprompt) at $\sqrt {s} = $ 7 TeV [5]. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels in each plot give the ratios of the FONLL predictions to the CMS and ATLAS data, shown by circles and squares, respectively. |
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Figure 7-a:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ meson production, comparing the production from CMS (black circles, prompt, this paper) at $\sqrt {s} = $ 13 TeV and ATLAS (red squares, prompt $+$ nonprompt) at $\sqrt {s} = $ 7 TeV [5]. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and ATLAS data, shown by circles and squares, respectively. |
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Figure 7-b:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for ${\mathrm{D^{\pm}}}$ meson production, comparing the production from CMS (black circles, prompt, this paper) at $\sqrt {s} = $ 13 TeV and ATLAS (red squares, prompt $+$ nonprompt) at $\sqrt {s} = $ 7 TeV [5]. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and ATLAS data, shown by circles and squares, respectively. |
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Figure 8:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ (upper left), ${\mathrm{D^0}} + \mathrm{\overline{D}{}^{0}}$ (upper right) and ${\mathrm{D^{\pm}}}$ (lower) meson production with $ {p_{\mathrm {T}}} < $ 24 GeV from CMS (black circles, this paper) at $\sqrt {s} = $ 13 TeV and ALICE [7] (magenta squares) at $\sqrt {s} = $ 7 TeV and $ {| y |} < $ 0.5. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The cross section definition by ALICE includes a factor of 1/2 that accounts for the fact that the measured yields include particles and antiparticles while the cross sections are given for particles only. The same is true for the corresponding FONLL predictions, as well. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels in each plot give the ratios of the FONLL predictions to the CMS and ALICE data, shown by circles and squares, respectively. |
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Figure 8-a:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ meson production with $ {p_{\mathrm {T}}} < $ 24 GeV from CMS (black circles, this paper) at $\sqrt {s} = $ 13 TeV and ALICE [7] (magenta squares) at $\sqrt {s} = $ 7 TeV and $ {| y |} < $ 0.5. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The cross section definition by ALICE includes a factor of 1/2 that accounts for the fact that the measured yields include particles and antiparticles while the cross sections are given for particles only. The same is true for the corresponding FONLL predictions, as well. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and ALICE data, shown by circles and squares, respectively. |
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Figure 8-b:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${\mathrm{D^0}} + \mathrm{\overline{D}{}^{0}}$ meson production with $ {p_{\mathrm {T}}} < $ 24 GeV from CMS (black circles, this paper) at $\sqrt {s} = $ 13 TeV and ALICE [7] (magenta squares) at $\sqrt {s} = $ 7 TeV and $ {| y |} < $ 0.5. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The cross section definition by ALICE includes a factor of 1/2 that accounts for the fact that the measured yields include particles and antiparticles while the cross sections are given for particles only. The same is true for the corresponding FONLL predictions, as well. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and ALICE data, shown by circles and squares, respectively. |
png pdf |
Figure 8-c:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${\mathrm{D^{\pm}}}$ meson production with $ {p_{\mathrm {T}}} < $ 24 GeV from CMS (black circles, this paper) at $\sqrt {s} = $ 13 TeV and ALICE [7] (magenta squares) at $\sqrt {s} = $ 7 TeV and $ {| y |} < $ 0.5. The corresponding predictions from FONLL are shown by the unfilled and filled boxes, respectively. The cross section definition by ALICE includes a factor of 1/2 that accounts for the fact that the measured yields include particles and antiparticles while the cross sections are given for particles only. The same is true for the corresponding FONLL predictions, as well. The vertical lines on the points give the total uncertainties in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and ALICE data, shown by circles and squares, respectively. |
png pdf |
Figure 9:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for the prompt ${\mathrm{D^0}} +\mathrm{\overline{D}{}^{0}} $ meson production from CMS at $\sqrt {s} = $ 13 TeV (black circles, this paper) and 5.02 TeV [4] (light blue squares) for $ {| y |} < $ 1. The corresponding FONLL predictions are shown by the unfilled and filled boxes, respectively. The vertical lines on the points give the total uncertainty in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS data at $\sqrt {s} = $ 13 TeV and 5.02 TeV, shown by circles and squares, respectively. |
png pdf |
Figure 10:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ (upper left), ${\mathrm{D^0}} + \mathrm{\overline{D}{}^{0}}$ (upper right) and ${\mathrm{D^{\pm}}}$ (lower) meson production at $\sqrt {s} = $ 13 TeV with $ {p_{\mathrm {T}}} < $ 16 GeV for CMS (black circles, this paper) for $ {| \eta |} < $ 2.1 and LHCb [11] (blue squares) for 2 $ < {| y |} < $ 2.5. The corresponding FONLL predictions are shown by the unfilled and filled boxes, respectively. To simplify the results representation, the equivalence between $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for 2 $ < {| y |} < $ 2.5 and $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} dy$ for 2 $ < y < $ 2.5, as in the original publication, has been used. The vertical lines on the points give the total uncertainty in the data, and the horizontal lines show the bin widths. The two lower panels in each plot give the ratios of the FONLL predictions to the CMS and LHCb data, shown by circles and squares, respectively. |
png pdf |
Figure 10-a:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${{\mathrm{D}^{\ast}(2010)^{\pm}}}$ meson production at $\sqrt {s} = $ 13 TeV with $ {p_{\mathrm {T}}} < $ 16 GeV for CMS (black circles, this paper) for $ {| \eta |} < $ 2.1 and LHCb [11] (blue squares) for 2 $ < {| y |} < $ 2.5. The corresponding FONLL predictions are shown by the unfilled and filled boxes, respectively. To simplify the results representation, the equivalence between $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for 2 $ < {| y |} < $ 2.5 and $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} dy$ for 2 $ < y < $ 2.5, as in the original publication, has been used. The vertical lines on the points give the total uncertainty in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and LHCb data, shown by circles and squares, respectively. |
png pdf |
Figure 10-b:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${\mathrm{D^0}} + \mathrm{\overline{D}{}^{0}}$ meson production at $\sqrt {s} = $ 13 TeV with $ {p_{\mathrm {T}}} < $ 16 GeV for CMS (black circles, this paper) for $ {| \eta |} < $ 2.1 and LHCb [11] (blue squares) for 2 $ < {| y |} < $ 2.5. The corresponding FONLL predictions are shown by the unfilled and filled boxes, respectively. To simplify the results representation, the equivalence between $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for 2 $ < {| y |} < $ 2.5 and $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} dy$ for 2 $ < y < $ 2.5, as in the original publication, has been used. The vertical lines on the points give the total uncertainty in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and LHCb data, shown by circles and squares, respectively. |
png pdf |
Figure 10-c:
Differential cross section $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for prompt ${\mathrm{D^{\pm}}}$ meson production at $\sqrt {s} = $ 13 TeV with $ {p_{\mathrm {T}}} < $ 16 GeV for CMS (black circles, this paper) for $ {| \eta |} < $ 2.1 and LHCb [11] (blue squares) for 2 $ < {| y |} < $ 2.5. The corresponding FONLL predictions are shown by the unfilled and filled boxes, respectively. To simplify the results representation, the equivalence between $ {\mathrm {d}}\sigma / {\mathrm {d}} {p_{\mathrm {T}}} $ for 2 $ < {| y |} < $ 2.5 and $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} dy$ for 2 $ < y < $ 2.5, as in the original publication, has been used. The vertical lines on the points give the total uncertainty in the data, and the horizontal lines show the bin widths. The two lower panels give the ratios of the FONLL predictions to the CMS and LHCb data, shown by circles and squares, respectively. |
| Tables | |
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Table 1:
The selection requirements for each charm meson. |
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Table 2:
The signal yields in data for $\mathrm{D^{*+}}$, ${\mathrm{D^0}}$, and ${\mathrm{D^+}}$ mesons in ${p_{\mathrm {T}}}$ bins for $ {| \eta |} < $ 2.1. The uncertainties are statistical only. |
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Table 3:
The signal yields in data for $\mathrm{D^{*+}}$, ${\mathrm{D^0}}$, and ${\mathrm{D^+}}$ mesons with 4 $ < {p_{\mathrm {T}}} < $ 100 GeV in $ {| \eta |}$ bins. The uncertainties are statistical only. |
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Table 4:
Summary of the systematic uncertainties (%) in the $\mathrm{D^{*+}}$, ${\mathrm{D^0}}$, and ${\mathrm{D^+}}$ meson cross sections. For the bin-dependent systematic uncertainties in the table, the weighted average is shown. The total uncertainty is the sum in quadrature of the individual contributions. |
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Table 5:
The differential cross sections of prompt $\mathrm{D^{*+}} + \mathrm{D^{*-}}$, ${\mathrm{D^0}} + \mathrm{\overline{D}{}^{0}}$, and ${\mathrm{D^+}} + \mathrm{D^{-}}$ production in ${p_{\mathrm {T}}}$ bins with $ {| \eta |} < $ 2.1; the first uncertainty is statistical, the second is systematic. |
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Table 6:
The differential cross sections of prompt $\mathrm{D^{*+}} + \mathrm{D^{*-}}$, ${\mathrm{D^0}} + \mathrm{\overline{D}{}^{0}}$, and ${\mathrm{D^+}} + \mathrm{D^{-}}$ production in $ {| \eta |}$ bins with 4 $ < {p_{\mathrm {T}}} < $ 100 GeV; the first uncertainty is statistical, the second is systematic. |
| Summary |
|
The differential cross sections ${\mathrm{d}}\sigma/{\mathrm{d}}{p_{\mathrm{T}}}$ and ${\mathrm{d}}\sigma/{\mathrm{d}}|{\eta}|$ for prompt charm meson (${{\mathrm{D}^{\ast}(2010)^{\pm}}}$, ${\mathrm{D^0}}$ ($\mathrm{\overline{D}{}^{0}}$), and ${\mathrm{D^{\pm}}}$) production are measured in the transverse momentum range 4 $ < {p_{\mathrm{T}}} < $ 100 GeV and pseudorapidity $|{\eta}| < $ 2.1, using data collected by the CMS experiment in proton-proton collisions in 2016 at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 29 nb$^{-1}$. The charm mesons were identified with signal invariant mass peaks of high statistical significance. The contamination arising from nonprompt D mesons originating from b hadron decays was removed using Monte Carlo event simulations, validated by measurements. The measured cross section values are compared to predictions from a theoretical calculation and several different Monte Carlo generators. The agreement with the various models can be considered fair, but no single Monte Carlo simulation or theoretical prediction describes the data well over the entire kinematic range. The measurements tend to favor a higher cross section than predicted by the FONLL calculations [15,16] and lower than estimated by the PYTHIA event generators [13,14]. The cross section predictions from the different PYTHIA tunes differ in both normalization and shape, which confirms that the description of the data provided by the models is sensitive to further model improvements. Overall, the best description is obtained by the upper edge of the FONLL uncertainty band, which could be taken as a reference prediction for background estimations for other processes, over the full kinematic range covered by all the LHC measurements. By confirming this finding in kinematic regions not previously covered, this measurement makes a contribution to the understanding of charm meson production in hadronic collisions, which is still dominated by large uncertainties in the present theoretical models. |
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