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CMS-PAS-HIN-24-003
Constraining nuclear parton dynamics with the first measurement of D$ ^0 $-photoproduction in ultraperipheral heavy-ion collisions at the LHC
Abstract: This note presents the first measurement of photonuclear D$ ^0 $ meson production in ultraperipheral heavy-ion collisions. The measurement uses 1.38 nb$ ^{-1} $ of data collected in lead-lead collisions by the CMS experiment at $ \sqrt {\smash [b]{s_{_{\mathrm {NN}}}}} = $ 5.36 TeV. Events where one of the colliding nuclei breaks up and the other remains intact (Xn0n) are selected by using the zero degree calorimeters and requiring the presence of a large rapidity gap in the photon-going direction. D$ ^0 $ mesons are reconstructed via the two-pronged D$ ^0 \rightarrow $ K$ ^{-} \pi^{+} $ decay channel as a function of their transverse momentum and rapidity for 2 $ < p_\mathrm{T} < $ 12 GeV and $-$2.0 $ < y < $ 2.0. The results are compared to perturbative quantum chromodynamics calculations at fixed-to-next-to-the-leading order which include the most recent parametrizations of the nuclear parton distribution functions of lead nuclei. This measurement provides new experimental constraints on nuclear matter with heavy-quark observables in a large region of $ x $ and $ Q^2 $ in the clean environment provided by photonuclear collisions.
Figures Summary References CMS Publications
Figures

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Figure 1:
Examples of $ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn events. (Left) Invariant mass distribution for $ \rm D^{0} $ mesons with 2 $ < p_{\mathrm{T}} < $ 5 GeV and $ -$1 $ < y < $ 1. (Right) Invariant mass distribution of $ \rm D^{0} $ mesons with 5 $ < p_{\mathrm{T}} < $ 8 GeV and 0 $ < y < $ 1. The fit template is described in the text.

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Figure 1-a:
Examples of $ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn events. (Left) Invariant mass distribution for $ \rm D^{0} $ mesons with 2 $ < p_{\mathrm{T}} < $ 5 GeV and $ -$1 $ < y < $ 1. (Right) Invariant mass distribution of $ \rm D^{0} $ mesons with 5 $ < p_{\mathrm{T}} < $ 8 GeV and 0 $ < y < $ 1. The fit template is described in the text.

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Figure 1-b:
Examples of $ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn events. (Left) Invariant mass distribution for $ \rm D^{0} $ mesons with 2 $ < p_{\mathrm{T}} < $ 5 GeV and $ -$1 $ < y < $ 1. (Right) Invariant mass distribution of $ \rm D^{0} $ mesons with 5 $ < p_{\mathrm{T}} < $ 8 GeV and 0 $ < y < $ 1. The fit template is described in the text.

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Figure 2:
Cross section of $ \rm D^{0} $ meson production for $ \gamma $N (Xn0n combined with rapidity reflected 0nXn) events compared with the FONLL predictions with EPSS21 nuclear PDF parametrization [37]. The black boxes represent the systematic uncertainty on the data. The light blue solid band indicates the scale uncertainty on the FONLL calculation, while the hatched dark blue band represents the nPDF uncertainty. The 5.05% global uncertainty is the combined uncertainty due to the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 2-a:
Cross section of $ \rm D^{0} $ meson production for $ \gamma $N (Xn0n combined with rapidity reflected 0nXn) events compared with the FONLL predictions with EPSS21 nuclear PDF parametrization [37]. The black boxes represent the systematic uncertainty on the data. The light blue solid band indicates the scale uncertainty on the FONLL calculation, while the hatched dark blue band represents the nPDF uncertainty. The 5.05% global uncertainty is the combined uncertainty due to the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 2-b:
Cross section of $ \rm D^{0} $ meson production for $ \gamma $N (Xn0n combined with rapidity reflected 0nXn) events compared with the FONLL predictions with EPSS21 nuclear PDF parametrization [37]. The black boxes represent the systematic uncertainty on the data. The light blue solid band indicates the scale uncertainty on the FONLL calculation, while the hatched dark blue band represents the nPDF uncertainty. The 5.05% global uncertainty is the combined uncertainty due to the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 2-c:
Cross section of $ \rm D^{0} $ meson production for $ \gamma $N (Xn0n combined with rapidity reflected 0nXn) events compared with the FONLL predictions with EPSS21 nuclear PDF parametrization [37]. The black boxes represent the systematic uncertainty on the data. The light blue solid band indicates the scale uncertainty on the FONLL calculation, while the hatched dark blue band represents the nPDF uncertainty. The 5.05% global uncertainty is the combined uncertainty due to the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 3:
Multiplicity of charged tracks satisfying a high-purity criteria for events passing all selections, with at least one selected $ \rm D^{0} $ meson with 2 $ < p_{\mathrm{T}} < $ 12 GeV. Events passing (failing) the rapidity gap conditions are shown in red (blue).

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Figure 4:
(Left) Correlation between the ZDC energies in the ZDC plus and minus detectors measured for empty-bunch-crossing (EBX) events. (Right) Distribution of the signals for the two ZDCs. The ZDC energies are here obtained subtracts for the out of time pileup (OOTPU) contribution by subtracting from the time slice containing the signal of interest (TS2) the ZDC energy sum in the preceding time slide (TS1).

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Figure 4-a:
(Left) Correlation between the ZDC energies in the ZDC plus and minus detectors measured for empty-bunch-crossing (EBX) events. (Right) Distribution of the signals for the two ZDCs. The ZDC energies are here obtained subtracts for the out of time pileup (OOTPU) contribution by subtracting from the time slice containing the signal of interest (TS2) the ZDC energy sum in the preceding time slide (TS1).

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Figure 4-b:
(Left) Correlation between the ZDC energies in the ZDC plus and minus detectors measured for empty-bunch-crossing (EBX) events. (Right) Distribution of the signals for the two ZDCs. The ZDC energies are here obtained subtracts for the out of time pileup (OOTPU) contribution by subtracting from the time slice containing the signal of interest (TS2) the ZDC energy sum in the preceding time slide (TS1).

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Figure 5:
(Left) $ \mathrm{E}^{\text{max}} $ distributions obtained in empty-bunch-crossing (EBX) events for both HF Plus and Minus. (Right) Cumulative distribution of $ \mathrm{E}^{\text{max}} $ in EBX events for both HF plus and minus. An energy threshold of 9.2 (8.6) GeV is considered for the rapidity gap requirement on the HF detector located at positive (negative) pseudorapidity.

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Figure 5-a:
(Left) $ \mathrm{E}^{\text{max}} $ distributions obtained in empty-bunch-crossing (EBX) events for both HF Plus and Minus. (Right) Cumulative distribution of $ \mathrm{E}^{\text{max}} $ in EBX events for both HF plus and minus. An energy threshold of 9.2 (8.6) GeV is considered for the rapidity gap requirement on the HF detector located at positive (negative) pseudorapidity.

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Figure 5-b:
(Left) $ \mathrm{E}^{\text{max}} $ distributions obtained in empty-bunch-crossing (EBX) events for both HF Plus and Minus. (Right) Cumulative distribution of $ \mathrm{E}^{\text{max}} $ in EBX events for both HF plus and minus. An energy threshold of 9.2 (8.6) GeV is considered for the rapidity gap requirement on the HF detector located at positive (negative) pseudorapidity.

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Figure 6:
Charged-hadron multiplicity $ p_{\mathrm{T}} $ for high-purity tracks with $ |\eta| < $2.4 in events with a $ \rm D^{0} $ mesons in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 6-a:
Charged-hadron multiplicity $ p_{\mathrm{T}} $ for high-purity tracks with $ |\eta| < $2.4 in events with a $ \rm D^{0} $ mesons in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 6-b:
Charged-hadron multiplicity $ p_{\mathrm{T}} $ for high-purity tracks with $ |\eta| < $2.4 in events with a $ \rm D^{0} $ mesons in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 7:
Transverse momentum $ p_{\mathrm{T}} $ for high-purity tracks with $ |\eta| < $2.4 in events, with a $ \rm D^{0} $ mesons in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 7-a:
Transverse momentum $ p_{\mathrm{T}} $ for high-purity tracks with $ |\eta| < $2.4 in events, with a $ \rm D^{0} $ mesons in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 7-b:
Transverse momentum $ p_{\mathrm{T}} $ for high-purity tracks with $ |\eta| < $2.4 in events, with a $ \rm D^{0} $ mesons in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 8:
Pseudorapidity distribution of charged tracks with $ p_{\mathrm{T}} > $ 0.5 GeV for events passing all event selections, for events with a $ \rm D^{0} $ meson in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 8-a:
Pseudorapidity distribution of charged tracks with $ p_{\mathrm{T}} > $ 0.5 GeV for events passing all event selections, for events with a $ \rm D^{0} $ meson in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 8-b:
Pseudorapidity distribution of charged tracks with $ p_{\mathrm{T}} > $ 0.5 GeV for events passing all event selections, for events with a $ \rm D^{0} $ meson in different $ p_{\mathrm{T}} $ and rapidity intervals. The distributions obtained in Pythia+EvGen simulations are shown in blue. CMS data, corrected on an event-by-event basis for the trigger selection efficiency, are shown in red.

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Figure 9:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn N$ \gamma $ events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 5-8 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 9-a:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn N$ \gamma $ events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 5-8 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 9-b:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn N$ \gamma $ events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 5-8 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 9-c:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn N$ \gamma $ events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 5-8 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 10:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn $ \gamma $N events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 8-12 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, 0 $ < y < $ 1, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 10-a:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn $ \gamma $N events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 8-12 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, 0 $ < y < $ 1, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 10-b:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn $ \gamma $N events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 8-12 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, 0 $ < y < $ 1, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 10-c:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn $ \gamma $N events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 8-12 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, 0 $ < y < $ 1, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 10-d:
$ \rm D^{0} $ meson candidate invariant mass distributions in 0nXn $ \gamma $N events in UPC PbPb collisions at 5.36 TeV. The $ \rm D^{0} $ meson candidates are selected for $ p_{\mathrm{T}} $ in the interval 8-12 GeV, covering rapidities of $-$2 $ < y < $ $-$1, $-$1 $ < y < $ 0, 0 $ < y < $ 1, and 1 $ < y < $ 2. Fit template includes exponential modeling of combinatoric background, double-Gaussian modeling of signal and single-Gaussian modeling of swapped components of $ \rm D^{0} $ meson mass peak, and Crystal Ball modeling of K$ ^{+} $K$ ^{-} $ and $ \pi^{+}\pi^{-} $ mass peaks.

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Figure 11:
Trigger efficiency corrections (1 $ /\varepsilon_\mathrm{trig} $) as a function of $ \rm D^{0} $ rapidity for $ \rm D^{0} $ with 5$ < p_{\mathrm{T}} < $ 8 GeV (left) and 8$ < p_{\mathrm{T}} < $ 12 GeV (right).

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Figure 11-a:
Trigger efficiency corrections (1 $ /\varepsilon_\mathrm{trig} $) as a function of $ \rm D^{0} $ rapidity for $ \rm D^{0} $ with 5$ < p_{\mathrm{T}} < $ 8 GeV (left) and 8$ < p_{\mathrm{T}} < $ 12 GeV (right).

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Figure 11-b:
Trigger efficiency corrections (1 $ /\varepsilon_\mathrm{trig} $) as a function of $ \rm D^{0} $ rapidity for $ \rm D^{0} $ with 5$ < p_{\mathrm{T}} < $ 8 GeV (left) and 8$ < p_{\mathrm{T}} < $ 12 GeV (right).

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Figure 12:
Trigger efficiency as a function of $ \rm D^{0} $ rapidity for $ \rm D^{0} $ with 5$ < p_{\mathrm{T}} < $ 8 GeV (left) and 8$ < p_{\mathrm{T}} < $ 12 GeV (right).

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Figure 12-a:
Trigger efficiency as a function of $ \rm D^{0} $ rapidity for $ \rm D^{0} $ with 5$ < p_{\mathrm{T}} < $ 8 GeV (left) and 8$ < p_{\mathrm{T}} < $ 12 GeV (right).

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Figure 12-b:
Trigger efficiency as a function of $ \rm D^{0} $ rapidity for $ \rm D^{0} $ with 5$ < p_{\mathrm{T}} < $ 8 GeV (left) and 8$ < p_{\mathrm{T}} < $ 12 GeV (right).

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Figure 13:
Reconstruction and selection efficiencies for prompt and non-prompt $ \rm D^{0} $ mesons as a function of the $ \rm D^{0} $ rapidity, in intervals of $ \rm D^{0} p_{\mathrm{T}} $. Prompt $ \rm D^{0} $ mesons, shown in red, originate from c-quarks, while non-prompt $ \rm D^{0} $ mesons, shown in blue originate from b-quarks. Inclusive (nominal) efficiencies are included in black for reference.

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Figure 14:
Examples of template fits for the extraction of the prompt fraction in data in intervals of $ \rm D^{0} p_{\mathrm{T}} $ and y. (Left) Distance-of-closest-approach (DCA) distribution for $ \rm D^{0} $ in the binning of 2 $ < p_{\mathrm{T}} < $ 5 GeV and $-$1 $ < y < $ 1. (Right) DCA distribution for $ \rm D^{0} $ in the binning of 5 $ < p_{\mathrm{T}} < $ 8 GeV and $-$1 $ < y < $ 0. In both panels, data and MC distributions are plotted with templates for prompt and non-prompt distributions overlaid

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Figure 14-a:
Examples of template fits for the extraction of the prompt fraction in data in intervals of $ \rm D^{0} p_{\mathrm{T}} $ and y. (Left) Distance-of-closest-approach (DCA) distribution for $ \rm D^{0} $ in the binning of 2 $ < p_{\mathrm{T}} < $ 5 GeV and $-$1 $ < y < $ 1. (Right) DCA distribution for $ \rm D^{0} $ in the binning of 5 $ < p_{\mathrm{T}} < $ 8 GeV and $-$1 $ < y < $ 0. In both panels, data and MC distributions are plotted with templates for prompt and non-prompt distributions overlaid

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Figure 14-b:
Examples of template fits for the extraction of the prompt fraction in data in intervals of $ \rm D^{0} p_{\mathrm{T}} $ and y. (Left) Distance-of-closest-approach (DCA) distribution for $ \rm D^{0} $ in the binning of 2 $ < p_{\mathrm{T}} < $ 5 GeV and $-$1 $ < y < $ 1. (Right) DCA distribution for $ \rm D^{0} $ in the binning of 5 $ < p_{\mathrm{T}} < $ 8 GeV and $-$1 $ < y < $ 0. In both panels, data and MC distributions are plotted with templates for prompt and non-prompt distributions overlaid

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Figure 15:
Fully corrected double-differential cross sections for the $ \gamma $+N (left) and N+$ \gamma $ (right) production of $ \rm D^{0} $. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 15-a:
Fully corrected double-differential cross sections for the $ \gamma $+N (left) and N+$ \gamma $ (right) production of $ \rm D^{0} $. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 15-b:
Fully corrected double-differential cross sections for the $ \gamma $+N (left) and N+$ \gamma $ (right) production of $ \rm D^{0} $. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 16:
Fully corrected cross section for the $ \gamma $+N combined with the reflected N+$ \gamma $ production of $ \rm D^{0} $ as a function of $ \rm D^{0} p_{\mathrm{T}} $ and rapidity. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 17:
Cross section of $ \rm D^{0} $ meson production for the various $ p_{\mathrm{T}} $ bins of the analysis. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 17-a:
Cross section of $ \rm D^{0} $ meson production for the various $ p_{\mathrm{T}} $ bins of the analysis. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 17-b:
Cross section of $ \rm D^{0} $ meson production for the various $ p_{\mathrm{T}} $ bins of the analysis. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 17-c:
Cross section of $ \rm D^{0} $ meson production for the various $ p_{\mathrm{T}} $ bins of the analysis. Systematic uncertainties are represented as rectangular boxes around the data points. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 18:
Cross section of $ \rm D^{0} $ meson production compared with the theoretical predictions provided by FONLL with proton CT18 PDF parametrization. Each plot corresponds to a different $ p_{\mathrm{T}} $ bin: 2-5 GeV (top left), 5-8 GeV (top right), and 8-12 GeV (bottom). Points are plotted as a function of $ \rm D^{0} y $. A ratio of data over theory is provided in the bottom panel. Theory uncertainty is represented by shaded band, while experimental uncertainty is represented by the black box. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 18-a:
Cross section of $ \rm D^{0} $ meson production compared with the theoretical predictions provided by FONLL with proton CT18 PDF parametrization. Each plot corresponds to a different $ p_{\mathrm{T}} $ bin: 2-5 GeV (top left), 5-8 GeV (top right), and 8-12 GeV (bottom). Points are plotted as a function of $ \rm D^{0} y $. A ratio of data over theory is provided in the bottom panel. Theory uncertainty is represented by shaded band, while experimental uncertainty is represented by the black box. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 18-b:
Cross section of $ \rm D^{0} $ meson production compared with the theoretical predictions provided by FONLL with proton CT18 PDF parametrization. Each plot corresponds to a different $ p_{\mathrm{T}} $ bin: 2-5 GeV (top left), 5-8 GeV (top right), and 8-12 GeV (bottom). Points are plotted as a function of $ \rm D^{0} y $. A ratio of data over theory is provided in the bottom panel. Theory uncertainty is represented by shaded band, while experimental uncertainty is represented by the black box. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 18-c:
Cross section of $ \rm D^{0} $ meson production compared with the theoretical predictions provided by FONLL with proton CT18 PDF parametrization. Each plot corresponds to a different $ p_{\mathrm{T}} $ bin: 2-5 GeV (top left), 5-8 GeV (top right), and 8-12 GeV (bottom). Points are plotted as a function of $ \rm D^{0} y $. A ratio of data over theory is provided in the bottom panel. Theory uncertainty is represented by shaded band, while experimental uncertainty is represented by the black box. The 5.05% global uncertainty is the combined uncertainty of the integrated luminosity and $ \rm D^{0} $ branching ratio.

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Figure 19:
No-nuclear-breakup probability as a function of $ \rm D^{0} p_{\mathrm{T}} $ and $ y $, estimated using Pythia 8 and Starlight simulations. The effective photon flux parametrization is taken from Ref. [49].
Summary
This note presents the first cross section measurement of the production of inclusive (prompt and nonprompt) $ \rm D^{0} $ mesons as a function of their transverse momentum $ p_{\mathrm{T}} $ and rapidity $ y $ in ultraperipheral heavy-ion collisions. The measurement uses lead-lead collision data collected by the CMS experiment at a collision energy of $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.36 TeV at the LHC. The events of interest are selected using the zero degree calorimeters (ZDC) of the CMS experiment, which measure the forward neutrons produced from the nuclear breakup. Such events are selected such that exactly one of the outgoing lead ion remains intact (no neutron signal in the ZDC) and the other lead ion breaks up (neutron signal in the other ZDC), leading to a ``0nXn'' topology. In addition, a large rapidity interval devoid of particle activity in the direction of the intact lead ion is required to increase the fraction of photonuclear interactions in the sample, $ \gamma^* N \to \rm D^{0} + $ X. The measured $ \rm D^{0} $ meson yields are corrected for detector acceptance and efficiency. The measurement is compared to theoretical calculations at next-to-leading order using recent parametrizations of nuclear parton distribution functions. The predictions are in good agreement with the data within the experimental and theoretical uncertainties. This measurement provides new experimental constraints on nuclear matter with heavy-quark observables over a large range of $ x $ and $ Q^{2} $, and opens the way for a vast experimental program exploiting fully-reconstructed heavy-flavor hadrons and heavy-flavor jets in ultraperipheral heavy-ion collisions at the LHC.
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