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CMS-PAS-FTR-18-026
Predictions on the precision achievable for small system flow observables in the context of the HL-LHC
Abstract: In this note, we discuss how the future HL-LHC program will enable highly precise measurements of flow observables in small systems. Projections of the statistical uncertainties achievable for symmetric cumulant analyses at $\sqrt{\text{s}} = $ 13 TeV for pp collisions and at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV for pPb collisions are presented. The improvement in the symmetric cumulant precision by increasing the pp beam energy to 14 TeV, while extending the CMS tracker pseudorapidity coverage to $|\eta| < $ 4, is also shown. In addition, we show how the HL-LHC will allow for elliptic flow measurements of $\mathrm{D}^0$ and $\mathrm{J}/\psi$ mesons in 8.16 TeV pPb collisions that are a factor of two more precise than currently possible.
Figures Summary References CMS Publications
Figures

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Figure 1:
SC(2,3) as a function of total multiplicity in pp collisions at 13 TeV (left) and pPb collisions at 5.02 TeV (right). Only statistical uncertainties are displayed. The open circles show the current CMS results standard 4-particle cumulant method [2]. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The color-shaded areas show the HL-LHC projections for 2-, 3- and 4-subevent symmetric cumulant analyses, as indicated.

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Figure 1-a:
SC(2,3) as a function of total multiplicity in pp collisions at 13 TeV (left) and pPb collisions at 5.02 TeV (right). Only statistical uncertainties are displayed. The open circles show the current CMS results standard 4-particle cumulant method [2]. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The color-shaded areas show the HL-LHC projections for 2-, 3- and 4-subevent symmetric cumulant analyses, as indicated.

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Figure 1-b:
SC(2,3) as a function of total multiplicity in pp collisions at 13 TeV (left) and pPb collisions at 5.02 TeV (right). Only statistical uncertainties are displayed. The open circles show the current CMS results standard 4-particle cumulant method [2]. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The color-shaded areas show the HL-LHC projections for 2-, 3- and 4-subevent symmetric cumulant analyses, as indicated.

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Figure 2:
SC(2,3) as a function of total multiplicity in pp collisions at 14 TeV. Only statistical uncertainties are displayed. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The open circles are the current CMS results at 13 TeV [2]. The color-shaded areas show the HL-LHC projections for 2-, 3- and 4-subevent symmetric cumulant analyses, as indicated.

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Figure 3:
SC(2,3) as a function of total multiplicity in pp collisions at 13 and 14 TeV using the 3-subevent method. Only statistical uncertainties are displayed. The open circles show the current CMS results using the standard 4-particle cumulant method [2]. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The blue shaded area is the projection for the current CMS tracker acceptance and the gray shaded area is the projection for CMS extended tracker acceptance.

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Figure 3-a:
SC(2,3) as a function of total multiplicity in pp collisions at 13 and 14 TeV using the 3-subevent method. Only statistical uncertainties are displayed. The open circles show the current CMS results using the standard 4-particle cumulant method [2]. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The blue shaded area is the projection for the current CMS tracker acceptance and the gray shaded area is the projection for CMS extended tracker acceptance.

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Figure 3-b:
SC(2,3) as a function of total multiplicity in pp collisions at 13 and 14 TeV using the 3-subevent method. Only statistical uncertainties are displayed. The open circles show the current CMS results using the standard 4-particle cumulant method [2]. The vertical dashed line shows the multiplicity range above which data were collected using a high-multiplicity trigger. The blue shaded area is the projection for the current CMS tracker acceptance and the gray shaded area is the projection for CMS extended tracker acceptance.

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Figure 4:
(Left) HL-LHC projections for $\mathrm{D}^0$ and $\mathrm{J}/\psi$ elliptic flow as a function of $p_{\mathrm{T}}$. (Right) Elliptic flow projections scaled by the number of constituent quarks ($n_{\text {q}}$) as a function of the similarly scaled transverse kinetic energy ($KE_{\text {T}}/n_{\text {q}}$). Only statistical uncertainties are displayed.

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Figure 4-a:
(Left) HL-LHC projections for $\mathrm{D}^0$ and $\mathrm{J}/\psi$ elliptic flow as a function of $p_{\mathrm{T}}$. (Right) Elliptic flow projections scaled by the number of constituent quarks ($n_{\text {q}}$) as a function of the similarly scaled transverse kinetic energy ($KE_{\text {T}}/n_{\text {q}}$). Only statistical uncertainties are displayed.

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Figure 4-b:
(Left) HL-LHC projections for $\mathrm{D}^0$ and $\mathrm{J}/\psi$ elliptic flow as a function of $p_{\mathrm{T}}$. (Right) Elliptic flow projections scaled by the number of constituent quarks ($n_{\text {q}}$) as a function of the similarly scaled transverse kinetic energy ($KE_{\text {T}}/n_{\text {q}}$). Only statistical uncertainties are displayed.
Summary
In this note, we have presented projections for symmetric cumulant and heavy particle elliptic flow analyses in the context of the HL-LHC. The increase of luminosity significantly reduces the experimental uncertainties compared to existing results. Such measurements will provide a better understanding of the "ridge'' structure observed in small colliding system. In terms of its theoretical understanding, this is among the most controversial behaviors found in relativistic heavy-ion collisions.
References
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2 CMS Collaboration Observation of Correlated Azimuthal Anisotropy Fourier Harmonics in $ pp $ and $ p+Pb $ Collisions at the LHC PRL 120 (2018), no. 9, 092301 CMS-HIN-16-022
1709.09189
3 CMS Collaboration Elliptic flow of charm and strange hadrons in high-multiplicity pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 8.16 TeV PRL 121 (2018), no. 8, 082301 CMS-HIN-17-003
1804.09767
4 CMS Collaboration Measurement of correlated azimuthal anisotropy Fourier harmonics with subevent cumulants in pPb collisions at 8.16 TeV CDS
5 CMS Collaboration Observation of prompt J/$ \psi $ meson elliptic flow in high-multiplicity pPb collisions at $ \sqrt{s_\mathrm{NN}} = $ 8.16 TeV Submitted to: PL(2018) CMS-HIN-18-010
1810.01473
6 CMS Collaboration The CMS Experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
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8 CMS Collaboration The Phase-2 Upgrade of the CMS Tracker CDS
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10 CMS Collaboration The Phase-2 Upgrade of the CMS Endcap Calorimeter CDS
11 CMS Collaboration The Phase-2 Upgrade of the CMS Muon Detectors CDS
12 CMS Collaboration CMS Phase-2 Object Performance
13 ATLAS Collaboration Correlated long-range mixed-harmonic fluctuations in $ pp $, $ p $+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector ATLAS-CONF-2018-012, CERN, Geneva, May
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