Breakdown of relative systematic uncertainties in the measured ${t\bar{t}}$ cross-section. The quoted uncertainties are obtained by repeating the fit with a group of nuisance parameters fixed to their fitted values and subtracting in quadrature the resulting total uncertainty from the uncertainty of the complete fit. However, the total uncertainty is not the quadratic sum of the grouped impacts, as this approach neglects the correlation among the different groups.

The figure shows the measurement of the top quark pair production cross-section, $\sigma_{t\bar{t}}$, in lead-lead (Pb+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV, based on 1.9 nb$^{-1}$ of data.

The figure shows the post-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 1b$ $\mu$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.

The figure shows the pre-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 2bincl$ $e$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.

The figure shows the post-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 2bincl$ $e$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.

The figure shows the pre-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 2bincl$ $\mu$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.

The figure shows the post-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb$^{-1}$. The data correspond to the $1\ell 2bincl$ $\mu$+jets channel in a pre-fit configuration. The stacked histograms represent different processes contributing to the event yield, including top quark pair production ($t\bar{t}$), single top, $W$ boson production with $b$, $c$, and light quarks, $Z$ boson production with $b$, $c$, and light quarks, diboson, and fake lepton backgrounds.

The figure shows the pre-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb\(^{-1}\) in the 2\(\ell\)1b signal region. The histogram represents the number of events per GeV, with the data points shown as black dots and their associated uncertainties. The stacked colored histograms indicate different processes: \(t\bar{t}\) (red), single top (orange), \(Z+b\) (dark blue), \(Z+c\) (medium blue), \(Z+\)light (light blue), diboson (gray), and fake lepton (purple). The hatched area represents the uncertainty in the predictions.

The figure shows the post-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb\(^{-1}\) in the 2\(\ell\)1b signal region. The histogram represents the number of events per GeV, with the data points shown as black dots and their associated uncertainties. The stacked colored histograms indicate different processes: \(t\bar{t}\) (red), single top (orange), \(Z+b\) (dark blue), \(Z+c\) (medium blue), \(Z+\)light (light blue), diboson (gray), and fake lepton (purple). The hatched area represents the uncertainty in the predictions.

The figure shows the pre-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb\(^{-1}\) in the 2\(\ell\)2bincl signal region. The histogram represents the number of events per GeV, with the data points shown as black dots and their associated uncertainties. The stacked colored histograms indicate different processes: \(t\bar{t}\) (red), single top (orange), \(Z+b\) (dark blue), \(Z+c\) (medium blue), \(Z+\)light (light blue), diboson (gray), and fake lepton (purple). The hatched area represents the uncertainty in the predictions.

The figure shows the post-fit distribution of events as a function of $H_{\mathrm{T}}^{\ell,j} = \sum_{\ell,j} p_{T}^{\ell,j}$, scalar sum of $p_T$ for all jets and leptons in the $\ell+$jets channel, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, with an integrated luminosity of 165 nb\(^{-1}\) in the 2\(\ell\)2bincl signal region. The histogram represents the number of events per GeV, with the data points shown as black dots and their associated uncertainties. The stacked colored histograms indicate different processes: \(t\bar{t}\) (red), single top (orange), \(Z+b\) (dark blue), \(Z+c\) (medium blue), \(Z+\)light (light blue), diboson (gray), and fake lepton (purple). The hatched area represents the uncertainty in the predictions.

The correlation matrix of the fit parameters for the six combined regions, including the signal regions (electron+jets: 1-lepton 1-bjet and 1-lepton 2-bjet inclusive, muon+jets: 1-lepton 1-bjet and 1-lepton 2-bjet inclusive, dilepton: 2-lepton 1-bjet and 2-lepton 2-bjet inclusive) is shown.

The impact of systematic uncertainties on the fitted signal-strength parameter $\hat{\mu}$ for the combined (six signal regions ($e+$jets: $1\ell1b$ and $1\ell2b\mathrm{incl}$, $\mu+$jets: $1\ell1b$ and $1\ell2b\mathrm{incl}$, dilepton: $2\ell1b$ and $2\ell2b\mathrm{incl}$) fit of all channels. Only the 15 most significant systematic uncertainties are shown and listed in decreasing order of their impact on $\mu$ on the $y$-axis. The empty (filled) blue/cyan boxes correspond to the pre-fit (post-fit) impact on $\mu$, referring to the upper $x$-axis. The impact of each systematic uncertainty, $\Delta \mu$, is calculated by comparing the nominal best-fit value of $\mu$ with the result of the fit when fixing the corresponding nuisance parameter $\theta$ to its best-fit value $\hat{\theta}$ shifted by its pre-fit (post-fit) uncertainties $\hat{\theta} \pm \Delta \theta(\hat{\theta} \pm \Delta \hat{\theta})$. The black points, which refer to the lower $x$-axis, show the pulls of the fitted nuisance parameters, i.e., the deviations of the fitted parameters $\hat{\theta}$ from their nominal values $\theta_0$, normalized to their nominal uncertainties $\Delta \theta$. The black lines show the post-fit uncertainties of the nuisance parameters, relative to their nominal uncertainties, which are indicated by the dashed lines.

Breakdown of relative systematic uncertainties in the measured ${t\bar{t}}$ cross-section. The quoted uncertainties are obtained by repeating the fit with a group of nuisance parameters fixed to their fitted values and subtracting in quadrature the resulting total uncertainty from the uncertainty of the complete fit. However, the total uncertainty is not the quadratic sum of the grouped impacts, as this approach neglects the correlation among the different groups.

The signal strength $\mu_{t\bar{t}}$, defined as the ratio of the observed signal for the combined six signal regions ($e+$jets: $1\ell1b$ and $1\ell2b\mathrm{incl}$, $\mu+$jets: $1\ell1b$ and $1\ell2b\mathrm{incl}$, dilepton: $2\ell1b$ and $2\ell2b\mathrm{incl}$.) to the SM expectation with no nPDF effects included, is measured using a binned profile-likelihood method. The parameter $\mu_{t\bar{t}}$ is determined by the fit to the $H_{T}^{\ell,j}$ data distributions in the six signal regions, where the $H_{T}^{\ell,j}$ variable is defined as the scalar sum of the transverse momenta of the leptons and HI jets. Over all 9% uncertainties is observed

The figure shows the measurement of the top quark pair production cross-section, $\sigma_{t\bar{t}}$, in proton-lead (p+Pb) collisions at a center-of-mass energy of $\sqrt{s_{\mathrm{NN}}} = 8.16$ TeV, based on 165 nb$^{-1}$ of data. The central measured value is shown alongside theoretical predictions using various parton distribution functions (PDFs): MCFM TUJU21, MCFM nNNPDF30, MCFM nCTEQ15HQ, and MCFM EPPS21. The green and yellow bands represent the total and statistical uncertainties of the data, respectively. Additional measurements for comparison include the CMS result at 8.16 TeV for p+Pb collisions and an extrapolated ATLAS+CMS result for pp collisions at 8 TeV. Relevant references are indicated: PRL 119 (2017) 242001 and JHEP 07 (2023) 213.

The ATLAS measurement of \( R_{p\text{Pb}} \) as a function of the nuclear modification factor in proton-lead (\( p\) + Pb) collisions at a center-of-mass energy per nucleon pair \( \sqrt{s_{NN}} = 8.16 \) TeV, with an integrated luminosity of 165 nb\(^{-1}\). The black points represent theoretical predictions from various MCFM parton distribution functions (PDFs): TUJU21, nNNPDF30, nCTEQ15HQ, and EPPS21. The green band indicates the total uncertainty of the data, while the yellow band represents the statistical uncertainty. The dashed line at \( R_{p\text{Pb}} = 1 \) shows the expected value in the absence of nuclear modifications.

Figure 8(left) of the article. Differential fiducial cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 8(right) of the article. Differential fiducial cross-section of the leading $b$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 9 of the article. Differential fiducial cross-section of the $\Delta R$ between the $Z$ boson and the leading $b$-jet in events with $Z (\rightarrow ll) \ge 1 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 10(left) of the article. Differential fiducial cross-section of the $\Delta \phi$ between the leading and sub-leading $b$-jets in events with $Z (\rightarrow ll) \ge 2 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 10(right) of the article. Differential fiducial cross-section of the invariant mass of the leading and sub-leading $b$-jets in events with $Z (\rightarrow ll) \ge 2 $ b-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 11(left) of the article. Differential fiducial cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 11(right) of the article. Differential fiducial cross-section of the leading $c$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Figure 12 of the article. Differential fiducial cross-section of the leading $c$-jet $x_F$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. The thin inner band corresponds to the statistical uncertainty of the data, and the outer band to statistical and systematic uncertainties of the data, added in quadrature.

Correction factors from parton level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling (see Tables 18 & 24) for the differential cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties for what concerns the passage from hadron level flavour dressing to hadron level cone labelling, plus statistical uncertainty of Pythia8 simulations used for parton to hadron corrections. See Table 4.

Correction factors from parton level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling (see Tables 19 & 25) for the differential cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties for what concerns the passage from hadron level flavour dressing to hadron level cone labelling, plus statistical uncertainty of Pythia8 simulations used for parton to hadron corrections. See Table 9.

Correction factors from parton level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling (see Tables 20 & 26) for the differential cross-section of the leading $b$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties for what concerns the passage from hadron level flavour dressing to hadron level cone labelling, plus statistical uncertainty of Pythia8 simulations used for parton to hadron corrections. See Table 5.

Correction factors from parton level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling (see Tables 21 & 27) for the differential cross-section of the leading $c$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties for what concerns the passage from hadron level flavour dressing to hadron level cone labelling, plus statistical uncertainty of Pythia8 simulations used for parton to hadron corrections. See Table 10.

Correction factors from parton level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling (see Tables 22 & 28) for the differential cross-section of the leading $c$-jet $x_F$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties for what concerns the passage from hadron level flavour dressing to hadron level cone labelling, plus statistical uncertainty of Pythia8 simulations used for parton to hadron corrections. See Table 11.

Correction factors from parton level done with flavour dressing algorithms as seen in Ref. [2] of the paper of the paper to hadron level with R 0.3 cone labelling (see Tables 23 & 29) for the differential cross-section of $\Delta R$ between the $Z$ boson and the leading $b$-jet in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties for what concerns the passage from hadron level flavour dressing to hadron level cone labelling, plus statistical uncertainty of Pythia8 simulations used for parton to hadron corrections. See Table 6.

Correction factors from hadron level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level R 0.3 cone labelling for the differential cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties. See Table 12.

Correction factors from hadron level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling for the differential cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties. See Table 13.

Correction factors from hadron level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling for the differential cross-section of the leading $b$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties. See Table 14.

Correction factors from hadron level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling for the differential cross-section of the leading $c$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties. See Table 15.

Correction factors from hadron level done with flavour dressing algorithms as seen in Ref. [2] of the paper to hadron level with R 0.3 cone labelling for the differential cross-section of the leading $c$-jet $x_F$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties. See Table 16.

Correction factors from hadron level done with flavour dressing algorithms as seen in Ref. [2] of the paper of the paper to hadron level with R 0.3 cone labelling for the differential cross-section of $\Delta R$ between the $Z$ boson and the leading $b$-jet in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include Sherpa 2.2.11 and MGaMC+Py8 FxFx uncertainties. See Table 17.

Correction factors from parton level to hadron level for the differential cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors statistical uncertainty of Pythia8 simulations. See Table 12.

Correction factors from parton level to hadron level for the differential cross-section of the Z boson $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include statistical uncertainty of Pythia8 simulations. See Table 13.

Correction factors from parton level to hadron level for the differential cross-section of the leading $b$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include statistical uncertainty of Pythia8 simulations. See Table 14.

Correction factors from parton level to hadron level for the differential cross-section of the leading $c$-jet $p_T$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include statistical uncertainty of Pythia8 simulations. See Table 15.

Correction factors from parton level to hadron level for the differential cross-section of the leading $c$-jet $x_F$ in events with $Z (\rightarrow ll) \ge 1 $ c-jets. Systematic errors include statistical uncertainty of Pythia8 simulations. See Table 16.

Correction factors from parton level to hadron level for the differential cross-section of $\Delta R$ between the $Z$ boson and the leading $b$-jet in events with $Z (\rightarrow ll) \ge 1 $ b-jets. Systematic errors include statistical uncertainty of Pythia8 simulations. See Table 17.

The Bose-Einstein correlation (BEC) parameter R as a function of n_ch for HMT events using different MC generators in the calculation of R₂(Q). The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The Bose-Einstein correlation (BEC) parameter R as a function of k_T for MB events using different MC generators in the calculation of R₂(Q). The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The Bose-Einstein correlation (BEC) parameter λ as a function of k_T for MB events using different MC generators in the calculation of R₂(Q). The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The two-particle double-ratio correlation function, R₂(Q), for pp collisions for track p_T >100 MeV at √s=13 TeV in the multiplicity interval 71 ≤ n_ch < 80 for the minimum-bias (MB) events. The blue dashed and red solid lines show the results of the exponential and Gaussian fits, respectively. The region excluded from the fits is shown. The statistical uncertainty and the systematic uncertainty for imperfections in the data reconstruction procedure are added in quadrature.

The two-particle double-ratio correlation function, R₂(Q), for pp collisions for track p_T >100 MeV at √s=13 TeV in the multiplicity interval 231 ≤ n_ch < 300 for the high-multiplicity track (HMT) events. The blue dashed and red solid lines show the results of the exponential and Gaussian fits, respectively. The region excluded from the fits is shown. The statistical uncertainty and the systematic uncertainty for imperfections in the data reconstruction procedure are added in quadrature.

The dependence of the correlation strength, λ(m_ch), on rescaled multiplicity, m_ch, obtained from the exponential fit of the R₂(Q) correlation functions for tracks with p_T > 100  MeV and p_T > 500 MeV at √s = 13  TeV for the minimum-bias (MB) and high multiplicity track (HMT) data. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the exponential fit of λ(m_ch) for p_T >100 MeV and p_T >500 MeV, respectively.

The dependence of the correlation strength, λ(m_ch), on rescaled multiplicity, m_ch, obtained from the exponential fit of the R₂(Q) correlation functions for tracks with p_T > 100  MeV and p_T > 500 MeV at √s = 13  TeV for the minimum-bias (MB) and high multiplicity track (HMT) data. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the exponential fit of λ(m_ch) for p_T >100 MeV and p_T >500 MeV, respectively.

The dependence of the correlation strength, λ(m_ch), on rescaled multiplicity, m_ch, obtained from the exponential fit of the R₂(Q) correlation functions for tracks with p_T > 100  MeV and p_T > 500 MeV at √s = 13  TeV for the minimum-bias (MB) and high multiplicity track (HMT) data. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the exponential fit of λ(m_ch) for p_T >100 MeV and p_T >500 MeV, respectively.

The dependence of the correlation strength, λ(m_ch), on rescaled multiplicity, m_ch, obtained from the exponential fit of the R₂(Q) correlation functions for tracks with p_T > 100  MeV and p_T > 500 MeV at √s = 13  TeV for the minimum-bias (MB) and high multiplicity track (HMT) data. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the exponential fit of λ(m_ch) for p_T >100 MeV and p_T >500 MeV, respectively.

The dependence of the source radius, R(m_ch), on m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively.

The dependence of the source radius, R(m_ch), on m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively.

The dependence of the source radius, R(m_ch), on m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively.

The dependence of the source radius, R(m_ch), on m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively.

The dependence of the R(m_ch) on ∛m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively

The dependence of the R(m_ch) on ∛m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively

The dependence of the R(m_ch) on ∛m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively

The dependence of the R(m_ch) on ∛m_ch. The uncertainties represent the sum in quadrature of the statistical and asymmetric systematic contributions. The black and blue solid curves represent the fit of R(m_ch) for ∛m_ch < 1.2 for p_T >100 MeV and p_T >500 MeV, respectively. The black and blue dotted curves are extensions of the black and blue solid curves beyond ∛m_ch > 1.2, respectively. The black and brown dashed curves represent the saturation value of R(m_ch) for ∛m_ch > 1.45 with p_T >100 MeV and for ∛m_ch > 1.6 with p_T >500 MeV, respectively

Comparison of single-ratio two-particle correlation functions, using the unlike-charge particle (UCP) pair reference sample, for minimum-bias (MB) events, showing C₂^data(Q) (top panel) at 13 TeV (black circles) and 7 TeV (open blue circles), and the ratio of C₂^7 TeV (Q) to C₂^13 TeV (Q) (bottom panel). Comparison of C₂^data (Q) for representative multiplicity region 3.09 < m_ch ≤ 3.86. The statistical and systematic uncertainties, combined in quadrature, are presented. The systematic uncertainties include track efficiency, Coulomb correction, non-closure and multiplicity-unfolding uncertainties.

Comparison of single-ratio two-particle correlation functions, using the unlike-charge particle (UCP) pair reference sample, for minimum-bias (MB) events, showing C₂^data(Q) (top panel) at 13  TeV (black circles) and 7  TeV (open blue circles), and the ratio of C₂^7 TeV (Q) to C₂^13 TeV (Q) (bottom panel). Comparison of C₂^data (Q) for representative k_T region 400 < k_T ≤500  MeV. The statistical and systematic uncertainties, combined in quadrature, are presented. The systematic uncertainties include track efficiency, Coulomb correction, non-closure and multiplicity-unfolding uncertainties.

The k_T dependence of the correlation strength, λ(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to λ(k_T).

The k_T dependence of the correlation strength, λ(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to λ(k_T).

The k_T dependence of the correlation strength, λ(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to λ(k_T).

The k_T dependence of the correlation strength, λ(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to λ(k_T).

The k_T dependence of the source radius, R(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to R(k_T).

The k_T dependence of the source radius, R(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to R(k_T).

The k_T dependence of the source radius, R(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to R(k_T).

The k_T dependence of the source radius, R(k_T), obtained from the exponential fit to the R₂(Q) correlation functions for events with multiplicity n_ch ≥ 2 and transfer momentum of tracks with p_T >100 MeV and p_T >500 MeV at √s=13 TeV for the minimum-bias (MB) and high-multiplicity track (HMT) events. The uncertainties represent the sum in quadrature of the statistical and systematic contributions. The curves represent the exponential fits to R(k_T).

The two-dimensional dependence on m_ch and k_T for p_T > 100 MeV for the correlation strength, λ, obtained from the exponential fit to the R₂(Q) correlation functions using the MB sample for m_ch ≤ 3.08 and the HMT sample for m_ch > 3.08.

The two-dimensional dependence on m_ch and k_T for p_T > 100 MeV for the source radius, R, obtained from the exponential fit to the R₂(Q) correlation functions using the MB sample for m_ch ≤ 3.08 and the HMT sample for m_ch > 3.08.

The parameter λ for p_T > 100 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.1 and 0.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.1 and 0.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.1 and 0.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.1 and 0.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 100 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The fit parameter μ describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter μ on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter μ describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter μ on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter μ describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter μ on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter μ describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter μ on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter ν describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter ν on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter ν describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter ν on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter ν describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter ν on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The fit parameter ν describing the dependence of the correlation strength, λ, on charged-particle scaled multiplicity, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid (blue dashed) curve represents the exponential fit of the dependence of parameter ν on m_ch for tracks with p_T >100 MeV (p_T >500 MeV).

The parameter ξ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the saturated value of the parameter ξ for m_ch > 3.0 for tracks with p_T >100 MeV and for m_ch > 2.8 for tracks with p_T >500 MeV, respectively.

The parameter ξ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the saturated value of the parameter ξ for m_ch > 3.0 for tracks with p_T >100 MeV and for m_ch > 2.8 for tracks with p_T >500 MeV, respectively.

The parameter ξ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the saturated value of the parameter ξ for m_ch > 3.0 for tracks with p_T >100 MeV and for m_ch > 2.8 for tracks with p_T >500 MeV, respectively.

The parameter ξ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the saturated value of the parameter ξ for m_ch > 3.0 for tracks with p_T >100 MeV and for m_ch > 2.8 for tracks with p_T >500 MeV, respectively.

The parameter κ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the exponential fit to the parameter κ for tracks with p_T >100 MeV and for tracks with p_T >500 MeV, respectively.

The parameter κ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the exponential fit to the parameter κ for tracks with p_T >100 MeV and for tracks with p_T >500 MeV, respectively.

The parameter κ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the exponential fit to the parameter κ for tracks with p_T >100 MeV and for tracks with p_T >500 MeV, respectively.

The parameter κ describing the dependence of the source radius, R, on charged-particle scaled multiplicity, m_ch, for track p_T>100 MeV and track p_T>500 MeV in the minimum-bias (MB) and high-multiplicity track (HMT) samples at √s = 13 TeV. The error bars and boxes represent the statistical and systematic contributions, respectively. The black solid and blue dashed curves represent the exponential fit to the parameter κ for tracks with p_T >100 MeV and for tracks with p_T >500 MeV, respectively.

The two-dimensional dependence on m_ch and k_T for p_T > 500 MeV for the correlation strength, λ, obtained from the exponential fit to the R₂(Q) correlation functions using the MB sample for m_ch ≤ 3.08 and the HMT sample for m_ch > 3.08.

The two-dimensional dependence on m_ch and k_T for p_T > 500 MeV for the source radius, R, obtained from the exponential fit to the R₂(Q) correlation functions using the MB sample for m_ch ≤ 3.08 and the HMT sample for m_ch > 3.08.

The parameter λ for p_T > 500 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 500 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 500 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 500 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 500 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter λ for p_T > 500 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 500 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 500 MeV as a function of k_T in selected low m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 500 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 500 MeV as a function of k_T in selected high m_ch intervals. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 500 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

The parameter R for p_T > 500 MeV as a function of m_ch in k_T intervals between 0.5 and 1.5 GeV. The error bars and boxes represent the statistical and systematic contributions, respectively.

ATLAS and CMS results for the source radius R as a function of n_ch in pp interactions at 13 TeV. The CMS results (open circles) have been adjusted (by the CMS collaboration) to the ATLAS kinematic region∶ p_T > 100 MeV and |η|<2.5. The ATLAS uncertainties are the sum in quadrature of the statistical and asymmetric systematic uncertainties. For CMS, only the systematic uncertainties are shown since the statistical uncertainties are smaller than the marker size. The dashed blue (ATLAS) and black (CMS) lines represent the fit to ∛n_ch at low multiplicity, continued as dotted lines beyond the fit range. The solid green (ATLAS) and broken black (CMS) lines indicate the plateau level at high multiplicity.

ATLAS and CMS results for the source radius R as a function of n_ch in pp interactions at 13 TeV. The CMS results (open circles) have been adjusted (by the CMS collaboration) to the ATLAS kinematic region∶ p_T > 100 MeV and |η|<2.5. The ATLAS uncertainties are the sum in quadrature of the statistical and asymmetric systematic uncertainties. For CMS, only the systematic uncertainties are shown since the statistical uncertainties are smaller than the marker size. The dashed blue (ATLAS) and black (CMS) lines represent the fit to ∛n_ch at low multiplicity, continued as dotted lines beyond the fit range. The solid green (ATLAS) and broken black (CMS) lines indicate the plateau level at high multiplicity.

ATLAS and CMS results for the source radius R as a function of n_ch in pp interactions at 13 TeV. The CMS results (open circles) have been adjusted (by the CMS collaboration) to the ATLAS kinematic region∶ p_T > 100 MeV and |η|<2.5. The ATLAS uncertainties are the sum in quadrature of the statistical and asymmetric systematic uncertainties. For CMS, only the systematic uncertainties are shown since the statistical uncertainties are smaller than the marker size. The dashed blue (ATLAS) and black (CMS) lines represent the fit to ∛n_ch at low multiplicity, continued as dotted lines beyond the fit range. The solid green (ATLAS) and broken black (CMS) lines indicate the plateau level at high multiplicity.

ATLAS and CMS results for the source radius R as a function of ∛n_ch in pp interactions at 13 TeV. The CMS results (open circles) have been adjusted (by the CMS collaboration) to the ATLAS kinematic region∶ p_T > 100 MeV and |η|<2.5. The ATLAS uncertainties are the sum in quadrature of the statistical and asymmetric systematic uncertainties. For CMS, only the systematic uncertainties are shown since the statistical uncertainties are smaller than the marker size. The dashed blue (ATLAS) and black (CMS) lines represent the fit to ∛n_ch at low multiplicity, continued as dotted lines beyond the fit range. The solid green (ATLAS) and broken black (CMS) lines indicate the plateau level at high multiplicity.

ATLAS and CMS results for the source radius R as a function of ∛n_ch in pp interactions at 13 TeV. The CMS results (open circles) have been adjusted (by the CMS collaboration) to the ATLAS kinematic region∶ p_T > 100 MeV and |η|<2.5. The ATLAS uncertainties are the sum in quadrature of the statistical and asymmetric systematic uncertainties. For CMS, only the systematic uncertainties are shown since the statistical uncertainties are smaller than the marker size. The dashed blue (ATLAS) and black (CMS) lines represent the fit to ∛n_ch at low multiplicity, continued as dotted lines beyond the fit range. The solid green (ATLAS) and broken black (CMS) lines indicate the plateau level at high multiplicity.

ATLAS and CMS results for the source radius R as a function of ∛n_ch in pp interactions at 13 TeV. The CMS results (open circles) have been adjusted (by the CMS collaboration) to the ATLAS kinematic region∶ p_T > 100 MeV and |η|<2.5. The ATLAS uncertainties are the sum in quadrature of the statistical and asymmetric systematic uncertainties. For CMS, only the systematic uncertainties are shown since the statistical uncertainties are smaller than the marker size. The dashed blue (ATLAS) and black (CMS) lines represent the fit to ∛n_ch at low multiplicity, continued as dotted lines beyond the fit range. The solid green (ATLAS) and broken black (CMS) lines indicate the plateau level at high multiplicity.

Systematic uncertainties (in percent) in the correlation strength, λ, and source radius, R, for the exponential fit of the two-particle double-ratio correlation functions, R₂(Q), for p_T > 100 MeV at √s= 13 TeV for the MB and HMT events. The choice of MC generator gives rise to asymmetric uncertainties, denoted by uparrow and downarrow. This asymmetry propagates through to the cumulative uncertainty. The columns under ‘Uncertainty range’ show the range of systematic uncertainty from the fits in the various n_ch intervals.

The results of the fits to the dependencies of the correlation strength, λ, and source radius, R, on the average rescaled charged-particle multiplicity, m_ch, for |η| < 2.5 and both p_T > 100 MeV and p_T > 500 MeV at √s = 13 TeV for the minimum-bias (MB) and the high-multiplicity track (HMT) events. The parameters γ and δ resulting from a joint fit to the MB and HMT data are presented. The total uncertainties are shown.

The results of the fits to the dependencies of the correlation strength, λ, and source radius, R, on the pair average transverse momentum, k_T, for various functional forms and for minimum-bias (MB) and high-multiplicity track (HMT) events for p_T > 100 MeV and p_T > 500 MeV at √s = 13 TeV. The total uncertainties are shown.

The Bose-Einstein correlation (BEC) parameters λ and R as a function of n_ch and k_T using different MC generators in the calculation of R₂(Q). (a) λ versus n_ch for MB events, (b) λ versus n_ch for HMT events, (c) λ versus k_T and (d) R versus k_T for MB events. The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The Bose-Einstein correlation (BEC) parameters λ and R as a function of n_ch and k_T using different MC generators in the calculation of R₂(Q). (a) λ versus n_ch for MB events, (b) λ versus n_ch for HMT events, (c) λ versus k_T and (d) R versus k_T for MB events. The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The Bose-Einstein correlation (BEC) parameters λ and R as a function of n_ch and k_T using different MC generators in the calculation of R₂(Q). (a) λ versus n_ch for MB events, (b) λ versus n_ch for HMT events, (c) λ versus k_T and (d) R versus k_T for MB events. The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The Bose-Einstein correlation (BEC) parameters λ and R as a function of n_ch and k_T using different MC generators in the calculation of R₂(Q). (a) λ versus n_ch for MB events, (b) λ versus n_ch for HMT events, (c) λ versus k_T and (d) R versus k_T for MB events. The uncertainties shown are statistical. The lower panel of each plot shows the ratio of the BEC parameters obtained using EPOS LHC (red circles), Pythia 8 Monash (blue squares) and Herwig++ UE-EE-5 (green triangles) compared with the parameters obtained using Pythia 8 A2. The gray band in the lower panels is the MC systematic uncertainty, obtained as explained in the text.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 10, (b) 11 < n_ch ≤ 20, (c) 21 < n_ch ≤ 30, (d) 31 < n_ch ≤ 40, (e) 41 < n_ch ≤ 50, (f) 51 < n_ch ≤ 60, (g) 61 < n_ch ≤ 70, (h) 71 < n_ch ≤ 80 and (i) 81 < n_ch ≤ 90. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 91 < n_ch ≤ 100, (b) 101 < n_ch ≤ 125, (c) 126 < n_ch ≤ 150, (d) 151 < n_ch ≤ 200, (e) 201 < n_ch ≤ 250. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 91 < n_ch ≤ 100, (b) 101 < n_ch ≤ 125, (c) 126 < n_ch ≤ 150, (d) 151 < n_ch ≤ 200, (e) 201 < n_ch ≤ 250. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 91 < n_ch ≤ 100, (b) 101 < n_ch ≤ 125, (c) 126 < n_ch ≤ 150, (d) 151 < n_ch ≤ 200, (e) 201 < n_ch ≤ 250. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 91 < n_ch ≤ 100, (b) 101 < n_ch ≤ 125, (c) 126 < n_ch ≤ 150, (d) 151 < n_ch ≤ 200, (e) 201 < n_ch ≤ 250. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 91 < n_ch ≤ 100, (b) 101 < n_ch ≤ 125, (c) 126 < n_ch ≤ 150, (d) 151 < n_ch ≤ 200, (e) 201 < n_ch ≤ 250. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 101 < n_ch ≤ 110, (b) 111 < n_ch ≤ 120, (c) 121 < n_ch ≤ 130, (d) 131 < n_ch ≤ 140, (e) 141 < n_ch ≤ 155, (f) 156 < n_ch ≤ 175, (g) 176 < n_ch ≤ 200, (h) 201 < n_ch ≤ 230 and (i) 231 < n_ch ≤ 300. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), for the high-multiplicity track (HMT) events using the unlike-charge particle (UCP) pairs reference sample for k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample for n_ch - intervals∶ (a) 2 < n_ch ≤ 9, (b) 10 < n_ch ≤ 18, (c) 19 < n_ch ≤ 27, (d) 28 < n_ch ≤ 36, (e) 37 < n_ch ≤ 45, (f) 46 < n_ch ≤ 54, (g) 55 < n_ch ≤ 63, (h) 64 < n_ch ≤ 72, (i) 73 < n_ch ≤ 81, (j) 82 < n_ch ≤ 90, (k) 91 < n_ch ≤ 113, and (l) 114 < n_ch ≤ 136. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The single-ratio two-particle correlation functions, C₂^data(Q), at 7 TeV for the minimum-bias (MB) events using the unlike-charge particle (UCP) pairs reference sample k_T - intervals∶ (a) 100 < k_T ≤ 200 MeV, (b) 200 < k_T ≤ 300 MeV, (c) 300 < k_T ≤ 400 MeV, (d) 400 < k_T ≤ 500 MeV, (e) 500 < k_T ≤ 600 MeV, (f) 600 < k_T ≤ 700 MeV, (g) 700 < k_T ≤ 1000 MeV, and (h) 1000 < k_T ≤ 1500 MeV. The error bars represent the statistical uncertainties. The boxes represent the systematic uncertainties, which are the sum in quadrature of a variation of the Coulomb correction, the track reconstruction efficiency and the unfolding matrix.

The correlation strength, λ, and source radius, R, of the exponential fits to the two-particle double-ratio correlation functions, R₂(Q), in dependence on the multiplicity, m_ch, intervals for the minimum-bias (MB) and the high-multiplicity track (HMT) events for p_T > 100 MeV at √s = 13 TeV. Statistical uncertainties for √χ²/ndf>1 are corrected by the √χ²/ndf. The total uncertainties are shown.

The correlation strength, λ, and source radius, R, of the exponential fits to the two-particle double-ratio correlation functions, R₂(Q), in dependence on the multiplicity, m_ch, intervals for the minimum-bias (MB) and the high-multiplicity track (HMT) events for p_T > 500 MeV at √s = 13 TeV. Statistical uncertainties for √χ²/ndf>1 are corrected by the √χ²/ndf. The total uncertainties are shown.

The correlation strength, λ, and source radius, R, of the exponential fits to the two-particle double-ratio correlation functions, R₂(Q), in dependence on the pair transverse momentum, k_T, intervals for the minimum-bias (MB) and the high-multiplicity track (HMT) events for p_T > 100 MeV at √s = 13 TeV. Statistical uncertainties for √χ²/ndf>1 are corrected by the √χ²/ndf. The total uncertainties are shown.

The correlation strength, λ, and source radius, R, of the exponential fits to the two-particle double-ratio correlation functions, R₂(Q), in dependence on the pair transverse momentum, k_T, intervals for the minimum-bias (MB) and the high-multiplicity track (HMT) events for p_T > 500 MeV at √s = 13 TeV. Statistical uncertainties for √χ²/ndf>1 are corrected by the √χ²/ndf. The total uncertainties are shown.

Final state radiation correction used in the $\phi_{\eta}^{*}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.

Final state radiation correction used in the $y^{Z}-p_{T}^{Z}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.

Final state radiation correction used in the $y^{Z}-\phi_{\eta}^{*}$ cross-section measurement. The first uncertainty is statistical and the second is systematic.

Correlation matrix of statistical uncertainty for one-dimensional $y^Z$ measurement.

Correlation matrix of statistical uncertainty for one-dimensional $p_{T}^{Z}$ measurement.

Correlation matrix of statistical uncertainty for one-dimensional $\phi_{\eta}^{*}$ measurement.

Correlation matrix of statistical uncertainty for two-dimensional $y^Z-p_{T}^{Z}$ measurement.

Correlation matrix of statistical uncertainty for two-dimensional $y^Z-\phi_{\eta}^{*}$ measurement.

Correlation matrix of efficiency uncertainty for one-dimensional $y^Z$ measurement.

Correlation matrix of efficiency uncertainty for one-dimensional $p_{T}^{Z}$ measurement.

Correlation matrix of efficiency uncertainty for one-dimensional $\phi_{\eta}^{*}$ measurement.

Correlation matrix of efficiency uncertainty for two-dimensional $y^Z-p_{T}^{Z}$ measurement.

Correlation matrix of efficiency uncertainty for two-dimensional $y^Z-\phi_{\eta}^{*}$ measurement.

Measured total $Z$-boson cross-section for different datasets. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured single differential cross-sections in interval regions of $y^{Z}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured single differential cross-sections in interval regions of $p_{T}^{Z}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured single differential cross-sections in interval regions of $\phi_{\eta}^{*}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured double differential cross-sections in interval regions of $y^{Z}$ and $p_{T}^{Z}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Measured double differential cross-sections in interval regions of $y^{Z}$ and $\phi_{\eta}^{*}$. The first uncertainty is statistical, the second systematic, and the third is due to the luminosity.

Systematic uncertainties in the single differential cross-sections in interval regions of $y^{Z}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the single differential cross-sections in interval regions of $p_{T}^{Z}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the single differential cross-sections in interval regions of $\phi_{\eta}^{*}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the double differential cross-sections in interval regions of $y^{Z}$ and $p_{T}^{Z}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Systematic uncertainties in the double differential cross-sections in interval regions of $y^{Z}$ and $\phi_{\eta}^{*}$, presented in percentage. The contributions from efficiency (Eff), background (BKG), final state radiation (FSR), closure test (Closure), and alignment and calibration (Alignment) are shown.

Post-fit background and signal yields in the full signal region. The total systematic uncertainty differs from the sum in quadrature of the different uncertainties due to correlations. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair. HF $e$ (HF $\mu$) refers to events with one non-prompt electron (muon) from heavy-flavour hadron decay, LF refers to events with a lepton originating from light-meson decay, and 'Other $t\bar{t}X$' includes events coming from $t\bar{t}WZ$, $t\bar{t}Z$+jets, $t\bar{t}WH$, $t\bar{t}HH$.

Ranking of the nuisance parameters included in the fit according to their impact on the signal strength $\mu$. Only the 20 most highly ranked nuisance parameters are shown in the thumbnail figure. The empty blue rectangles correspond to the pre-fit impact on $\mu$ and the filled blue ones to the post-fit impact on $\mu$, both referring to the upper $x$-axis scale. The impact of each nuisance parameter, $\Delta\mu$, is computed by comparing the nominal best-fit value of $\mu$ with the result of the fit when fixing the nuisance parameter to its best-fit value, $\hat{\theta}$, shifted by its pre-fit (post-fit) uncertainties $\pm \Delta\theta$ ($\pm \Delta\hat{\theta}$). The black points show the pulls of the parameter relative to their nominal values, $\theta_0$. The nominal value for all parameters is $\theta_0 = 0$. The pulls of the most impactful parameters and their relative post-fit errors, $\Delta\hat{\theta}/\Delta\theta$, are referenced to the lower $x$-axis scale. In the table, POI means Parameter of Interest.

Comparison between data and prediction before the fit ('Pre-Fit') for the 'HF e' control region. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction before the fit ('Pre-Fit') for the 'HF mu' control region. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction before the fit ('Pre-Fit') for the $m_{ee}^{PV}$ variable in the 'Conv.' control region. The first and last bins contain underflow and overflow events, respectively. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction before the fit ('Pre-Fit') for the $\Sigma p_{T}^{l}$ variable in the 'ttW' control region. The first and last bins contain underflow and overflow events, respectively. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction after the fit ('Post-Fit') for the 'HF e' control region. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction after the fit ('Post-Fit') for the 'HF mu' control region. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction after the fit ('Post-Fit') for the $m_{ee}^{PV}$ variable in the 'Conv.' control region. The first and last bins contain underflow and overflow events, respectively. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction after the fit ('Post-Fit') for the $\Sigma p_{T}^{l}$ variable in the in 'ttW' control region. The first and last bins contain underflow and overflow events, respectively. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction before the fit ('Pre-Fit') for the BDT score in the signal region. The first and last bins contain underflow and overflow events, respectively. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

Comparison between data and prediction after the fit ('Post-Fit') for the BDT score in the signal region. The first and last bins contain underflow and overflow events, respectively. Q mis-id refers to the charge misassignment background. Mat. Conv. and Low $m_{\gamma^*}$ refer respectively to events with one non-prompt electron originating from photon conversion in the detector material and to events with a virtual photon leading to an $e^+e^-$ pair.

The absolute differential cross-section measured in the fiducial phase-space as a function of the minimum $\Delta R$ between the photon and the leptons in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The absolute differential cross-section measured in the fiducial phase-space as a function of the $\Delta\phi$ between the two leptons in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The absolute differential cross-section measured in the fiducial phase-space as a function of the $|\Delta\eta|$ between the two leptons in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The normalised differential cross-section measured in the fiducial phase-space as a function of the photon pT in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The normalised differential cross-section measured in the fiducial phase-space as a function of the photon $|\eta|$ in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The normalised differential cross-section measured in the fiducial phase-space as a function of the minimum $\Delta R$ between the photon and the leptons in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The normalised differential cross-section measured in the fiducial phase-space as a function of the $\Delta\phi$ between the two leptons in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The normalised differential cross-section measured in the fiducial phase-space as a function of the $|\Delta\eta|$ between the two leptons in the electron-muon channel. The uncertainty is decomposed into four components which are the signal modelling uncertainty, the background modelling uncertainty, the experimental uncertainty, and the data statistical uncertainty.

The total correlation matrix of the absolute differential cross-section measured in the fiducial phase-space as a function of the photon pT in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the absolute differential cross-section measured in the fiducial phase-space as a function of the photon $|\eta|$ in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the absolute differential cross-section measured in the fiducial phase-space as a function of the minimum $\Delta R$ between the photon and the leptons in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the absolute differential cross-section measured in the fiducial phase-space as a function of the $\Delta\phi$ between the two leptons in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the absolute differential cross-section measured in the fiducial phase-space as a function of the $|\Delta\eta|$ between the two leptons in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the normalised differential cross-section measured in the fiducial phase-space as a function of the photon pT in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the normalised differential cross-section measured in the fiducial phase-space as a function of the photon $|\eta|$ in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the normalised differential cross-section measured in the fiducial phase-space as a function of the minimum $\Delta R$ between the photon and the leptons in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the normalised differential cross-section measured in the fiducial phase-space as a function of the $\Delta\phi$ between the two leptons in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The total correlation matrix of the normalised differential cross-section measured in the fiducial phase-space as a function of the $|\Delta\eta|$ between the two leptons in the electron-muon channel. The individual systematic uncertainties are symmetrized before deriving the correlation matrix.

The statistical correlation matrix of all the absolute differential cross-sections measured in the fiducial phase-space in the electron-muon channel.

The statistical correlation matrix of all the normalised differential cross-sections measured in the fiducial phase-space in the electron-muon channel.

Fiducial region definition.

Impact of different categories of systematic uncertainties on the fiducial and inclusive measurements. The quoted values are obtained by repeating the fit, fixing a set of nuisance parameters of the sources corresponding to the considered category, and subtracting in quadrature the resulting uncertainty from the total uncertainty of the nominal fit. The total uncertainty is different from the sum in quadrature of the different components due to correlations between nuisance parameters built by the fit.

Fiducial region definition