Corrected $m(HH)$ distribution in the resolved $4b$ signal region (dots), after the fit under the background-only hypothesis. The error bars on the $4b$ points represent the Poisson uncertainties corresponding to their event yields. The background model (teal histogram) is shown with its total post-fit uncertainty (gray band). The final bin includes overflow. Representative spin-0 signal hypotheses (dashed, dotted, and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. The bottom panel shows the difference between the $4b$ distribution and the background model, relative to the background model. No significant excess of data relative to the SM background is observed.

Corrected $m(HH)$ distribution in the resolved $4b$ signal region (dots), after the fit under the background-only hypothesis. The error bars on the $4b$ points represent the Poisson uncertainties corresponding to their event yields. The background model (teal histogram) is shown with its total post-fit uncertainty (gray band). The final bin includes overflow. Representative spin-2 signal hypotheses (dashed, dotted, and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. The bottom panel shows the difference between the $4b$ distribution and the background model, relative to the background model. No significant excess of data relative to the SM background is observed.

Cumulative signal acceptance times efficiency as a function of the resonance mass for various selection steps in the boosted channel. The steps up to the $b$-tag categorization are shown for the spin-0.

Cumulative signal acceptance times efficiency as a function of the resonance mass for various selection steps in the boosted channel. The steps up to the $b$-tag categorization are shown for the spin-2.

Cumulative signal acceptance times efficiency as a function of the resonance mass for various selection steps in the boosted channel. The efficiencies of the three b-tag categories are shown for the spin-0 scenario; this efficiency is obtained after the other selection steps including the SR definition. The signal efficiency in the 4b region has a maximum around 1.5 TeV. Above that value the track-jets start to merge together, and for the highest resonance masses the 2b category becomes the most efficient.

Cumulative signal acceptance times efficiency as a function of the resonance mass for various selection steps in the boosted channel. The efficiencies of the three b-tag categories are shown for the spin-2 scenario; this efficiency is obtained after the other selection steps including the SR definition. The signal efficiency in the 4b region has a maximum around 1.5 TeV. Above that value the track-jets start to merge together, and for the highest resonance masses the 2b category becomes the most efficient.

Comparison of the background model (stacked histograms) with data (dots) in the $2b$ validation region. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background uncertainty (gray band) is computed by adding all individual components in quadrature and is not allowed to extend below zero.

Comparison of the background model (stacked histograms) with data (dots) in the $3b$ validation region. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background uncertainty (gray band) is computed by adding all individual components in quadrature and is not allowed to extend below zero.

Comparison of the background model (stacked histograms) with data (dots) in the $4b$ validation region. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background uncertainty (gray band) is computed by adding all individual components in quadrature and is not allowed to extend below zero.

The $m(HH)$ distributions in the boosted $2b$ signal regions (dots), after the fit under the background-only hypothesis. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background model (stacked histogram) is shown with its total post-fit uncertainty (gray band). The uncertainty bands are defined using an ensemble of curves constructed by sampling a multivariate Gaussian probability density function built from the covariance matrix of the fit. Representative spin-0 signal hypotheses (dashed and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. No significant excess of data relative to the SM background is observed.

The $m(HH)$ distributions in the boosted $2b$ signal regions (dots), after the fit under the background-only hypothesis. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background model (stacked histogram) is shown with its total post-fit uncertainty (gray band). The uncertainty bands are defined using an ensemble of curves constructed by sampling a multivariate Gaussian probability density function built from the covariance matrix of the fit. Representative spin-2 signal hypotheses (dashed and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. No significant excess of data relative to the SM background is observed.

The $m(HH)$ distributions in the boosted $3b$ signal regions (dots), after the fit under the background-only hypothesis. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background model (stacked histogram) is shown with its total post-fit uncertainty (gray band). The uncertainty bands are defined using an ensemble of curves constructed by sampling a multivariate Gaussian probability density function built from the covariance matrix of the fit. Representative spin-0 signal hypotheses (dashed and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. No significant excess of data relative to the SM background is observed.

The $m(HH)$ distributions in the boosted $3b$ signal regions (dots), after the fit under the background-only hypothesis. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background model (stacked histogram) is shown with its total post-fit uncertainty (gray band). The uncertainty bands are defined using an ensemble of curves constructed by sampling a multivariate Gaussian probability density function built from the covariance matrix of the fit. Representative spin-2 signal hypotheses (dashed and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. No significant excess of data relative to the SM background is observed.

The $m(HH)$ distributions in the boosted $4b$ signal regions (dots), after the fit under the background-only hypothesis. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background model (stacked histogram) is shown with its total post-fit uncertainty (gray band). The uncertainty bands are defined using an ensemble of curves constructed by sampling a multivariate Gaussian probability density function built from the covariance matrix of the fit. Representative spin-0 signal hypotheses (dashed and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. No significant excess of data relative to the SM background is observed.

The $m(HH)$ distributions in the boosted $4b$ signal regions (dots), after the fit under the background-only hypothesis. The error bars on the data points represent the Poisson uncertainties corresponding to their event yields. The background model (stacked histogram) is shown with its total post-fit uncertainty (gray band). The uncertainty bands are defined using an ensemble of curves constructed by sampling a multivariate Gaussian probability density function built from the covariance matrix of the fit. Representative spin-2 signal hypotheses (dashed and dashed-dotted lines) are overlaid, normalized to the overall expected limits on their cross-sections. No significant excess of data relative to the SM background is observed.

Expected (dashed black lines) and observed (solid black lines) 95% CL upper limits on the cross-section of resonant $HH$ production in the spin-0 signal models. The $\pm 1 \sigma$ and $\pm 2 \sigma$ uncertainty ranges for the expected limits (colored bands) are shown. Expected limits using each of the resolved and boosted channels individually (dashed colored lines) are shown. The nominal $H\rightarrow b\bar{b}$ branching ratio is taken as 0.582.

Expected (dashed black lines) and observed (solid black lines) 95% CL upper limits on the cross-section of resonant $HH$ production in the spin-2 signal models. The $\pm 1 \sigma$ and $\pm 2 \sigma$ uncertainty ranges for the expected limits (colored bands) are shown. Expected limits using each of the resolved and boosted channels individually (dashed colored lines) are shown. The theoretical prediction for the bulk RS model with $k/\bar{M}_{\text{Pl}} = 1$ (solid red line) is shown; the decrease below 350 GeV is due to a sharp reduction in the $G^{*}_{\text{KK}} \rightarrow HH$ branching ratio. The nominal $H\rightarrow b\bar{b}$ branching ratio is taken as 0.582.

Distribution of $m_{\mathrm{T},3l}$ in the JNLow SR after the background-only fit. The uncertainty on the expected number of background events includes all statistical and systematic post-fit uncertainties with the correlations between various background sources taken into account.

Distribution of $H_\text{T} + E_\text{T}^\text{miss}$ in the Q0 SR after the background-only fit. The uncertainty on the expected number of background events includes all statistical and systematic post-fit uncertainties with the correlations between various background sources taken into account.

Distribution of $H_\text{T} + E_\text{T}^\text{miss}$ in the Q2 SR after the background-only fit. The uncertainty on the expected number of background events includes all statistical and systematic post-fit uncertainties with the correlations between various background sources taken into account.

Distribution of $m_{\mathrm{T},3l}$ in the ZL-CR after the background-only fit.

Distribution of $m_{\mathrm{T},3l}$ in the Fake-CR after the background-only fit.

Distribution of $H_\text{T} + E_\text{T}^\text{miss}$ in the Q0 DB-CR after the background-only fit.

Distribution of $H_\text{T} + E_\text{T}^\text{miss}$ in the Q0 RT-CR after the background-only fit.

Expected and observed exclusion limit for the combination of the two- (from Ref. EXOT-2018-33), three- and four-lepton channels, for the type-III seesaw process with the corresponding one- and two-standard-deviation uncertainty bands, showing the 95% CL upper limit on the cross-section.

Expected and observed 95% ( $CL_s$ ) exclusion limits in the three lepton channel for the type-III seesaw process with the corresponding one- and two-standard-deviation bands, showing the 95% CL upper limit on the cross-section.

Expected and observed 95% ( $CL_s$ ) exclusion limits in the four lepton channel for the type-III seesaw process with the corresponding one- and two-standard-deviation bands, showing the 95% CL upper limit on the cross-section.

Cross-sections of signal Monte Carlo samples for each mass point considered in this analysis. Leading order cross-sections ( $\sigma_{LO}$ ) are computed by the generator and then rescaled to next-to-leading cross-sections ( $\sigma_{NLO+NLL}$ ), with their corresponding uncertainties, using information taken from Refs. C1C1 and N2C1.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the ZL SR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the ZLVeto SR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the JNLow SR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the Q0 SR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the Q2 SR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the ZL CR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the Q0-DB CR. Preselection represents events with at least three leptons.

Expected signal and background yields after each of the analysis selection cuts for the 800 GeV mass hypothesis in the Q0-RT CR. Preselection represents events with at least three leptons.

Expected background yields and observed data after the background-only fit, in the three-lepton CRs and VRs.

Expected background yields and observed data after the background-only fit, in the four-lepton CRs and VRs.

Expected and observed 95% ( $CL_s$ ) exclusion limits in the three and four lepton channels for the type-III seesaw process with the corresponding one- and two-standard-deviation bands, showing the 95% CL upper limit on the cross-section.

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.

Ratio of charged-particle jet yield measured in different multiplicity classes with respect to that in MB events as a function of pT for different resolution parameters R from 0.2 to 0.7. Statistical and total systematic uncertainties are shown as vertical error bars and boxes around the data points, respectively.

Ratios of charged-particle jet spectra with R = 0.2 to that with other jet resolution parameters R from 0.3 to 0.7, shown in different V0M multiplicity classes. Statistical and systematic uncertainties are shown as vertical error bars and boxes around the data points, respectively

a) Integrated jet yields, and b) $<p_T>$ of jets with 5 $<p^{ch}_{T,jet}<$ 100 GeV/$c$ as a function of selfnormalised charged-particle multiplicity for different resolution parameters R varied from 0.2 to 0.7, with the charged-particle multiplicities provided in Ref. [67]. Statistical and systematic uncertainties are shown as vertical error bars and boxes around the data points, respectively.

Self-normalised jet yields as a function of the self-normalised charged-particle multiplicity for different resolution parameters R varied from 0.2 to 0.7 in different jet pT intervals: a) 5 $<p^{ch}_{T,jet}<$ 7 GeV/$c$, b) 9 $<p^{ch}_{T,jet}<$ 12 GeV/$c$, c) 30 $<p^{ch}_{T,jet}<$ 50 GeV/$c$, and d) 70 $<p^{ch}_{T,jet}<$ 100 GeV/$c$. The charged-particle multiplicities are taken from Ref. [67]. Statistical and systematic uncertainties are shown as vertical error bars and boxes around the data points, respectively.

Inclusive charged-particle jet cross sections in pp collisions at $\sqrt{s}$ = 13 TeV using the anti-kT algorithm for different jet resolution parameters R from 0.2 to 0.7, without UE subtraction. Statistical uncertainties are displayed as vertical error bars. The total systematic uncertainties are shown as solid boxes around the data points.

Ratio of charged-particle jet cross section for resolution parameter R = 0.2 to other radii R = X, with X ranging from 0.3 to 0.7, without UE subtraction. Data are compared with LO (PYTHIA) and NLO (POWHEG+PYTHIA8) predictions as shown in the bottom panels. The systematic uncertainties of the cross section ratios from data are indicated by solid boxes around data points in the upper panel and shaded bands around unity in the mid and lower panels. No uncertainties are shown for theoretical predictions for better visibility.

Raw primary antihelium3-to-helium3 ratio from Geant4-based MC simulations as a function of the momentum p_primary with sigma_inel(3Hebar)x1.5.

Raw primary antihelium3-to-helium3 ratio as a function of the momentum p_primary.

Raw primary antihelium3-to-helium3 ratio from Geant4-based MC simulations as a function of the momentum p_primary with default sigma_inel(3Hebar).

Raw primary antihelium3-to-helium3 ratio from Geant4-based MC simulations as a function of the momentum p_primary with sigma_inel(3Hebar)x0.5.

Raw primary antihelium3-to-helium3 ratio from Geant4-based MC simulations as a function of the momentum p_primary with sigma_inel(3Hebar)x1.5.

Inelastic interaction cross section of antihelium-3 on an averaged material element of the ALICE detector (ITS+TPC analysis).

Inelastic interaction cross section of antihelium-3 on an averaged material element of the ALICE detector (ITS+TPC+TOF analysis).

Inelastic interaction cross section of antihelium-3 on an averaged material element of the ALICE detector (ITS+TPC+TOF analysis).

Antihelium-3 cosmic-ray flux from background before the solar modulation

Antihelium-3 cosmic-ray flux from dark matter before the solar modulation

Transparency of the galaxy to antihelium-3 nuclei from background before the solar modulation

Transparency of the galaxy to antihelium-3 nuclei from dark matter before the solar modulation

Antihelium-3 cosmic-ray flux from background after the solar modulation

Antihelium-3 cosmic-ray flux from dark matter after the solar modulation

Transparency of the galaxy to antihelium-3 nuclei from background after the solar modulation

Transparency of the galaxy to antihelium-3 nuclei from dark matter after the solar modulation

Inelastic interaction cross section of antihelium-3 on proton from the fit to the ALICE data.

Inelastic interaction cross section of antihelium-3 on helium-4 from the fit to the ALICE data.

Measured differential cross section with associated uncertainties as a function of $N$($b$-jets). Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate. For the meaning of the bins please refer to the figure.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{j1}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>30\ \mathrm{GeV}}=0)$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of $m_{jj}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of $\Delta\phi_{jj}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma}$ in bins of $|y_{\gamma\gamma}|$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Measured differential cross section with associated uncertainties as a function of $\Delta\phi_{jj}$ in the VBF fiducial region. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Observed statistical correlations, evaluated with a bootstrapping technique, between $p_\mathrm{T}^{\gamma\gamma}$, $N_\mathrm{jets}$, $m_{jj}$, $\Delta\phi_{jj}$, and $p_\mathrm{T}^{j1}$

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma}$.

Post-fit correlation matrix for the differential cross section measured as a function of $N_\mathrm{jets}$.

Post-fit correlation matrix for the differential cross section measured as a function of $N$($b$-jets).

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{j1}$.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>30\ \mathrm{GeV}}=0)$.

Post-fit correlation matrix for the differential cross section measured as a function of $m_{jj}$.

Post-fit correlation matrix for the differential cross section measured as a function of $\Delta\phi_{jj}$.

Post-fit correlation matrix for the differential cross section measured as a function of $\Delta\phi_{jj}$ in the VBF fiducial region.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma}$ in bins of $|y_{\gamma\gamma}|$. The bins are the same as in the corresponding plot of the differential cross section.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma1}/m_{\gamma\gamma}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma1}/m_{\gamma\gamma}$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma2}/m_{\gamma\gamma}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma2}/m_{\gamma\gamma}$.

Measured differential cross section with associated uncertainties as a function of $|y_{\gamma\gamma}|$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $|y_{\gamma\gamma}|$.

Measured differential cross section with associated uncertainties as a function of $m_{\gamma\gamma j}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $m_{\gamma\gamma j}$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma j}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma j}$.

Measured differential cross section with associated uncertainties as a function of $H_{T}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $H_{T}$.

Measured differential cross section with associated uncertainties as a function of $\tau_{C,j1}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $\tau_{C,j1}$.

Measured differential cross section with associated uncertainties as a function of $\sum\tau_{C,j}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $\sum\tau_{C,j}$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>40\ \mathrm{GeV}}=0)$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>40\ \mathrm{GeV}}=0)$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>50\ \mathrm{GeV}}=0)$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>50\ \mathrm{GeV}}=0)$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>60\ \mathrm{GeV}}=0)$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma} (N_\mathrm{jets}^{p_T>60\ \mathrm{GeV}}=0)$.

Measured differential cross section with associated uncertainties as a function of $\pi - |\Delta\phi_{\gamma\gamma,jj}|$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $\pi - |\Delta\phi_{\gamma\gamma,jj}|$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma jj}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma jj}$.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma}$ in bins of $p_{T}^{\gamma\gamma j}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma}$ in bins of $p_{T}^{\gamma\gamma j}$. The bins are the same as in the corresponding plot of the differential cross section.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma}$ in bins of $\tau_{C,j1}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma}$ in bins of $\tau_{C,j1}$. The bins are the same as in the corresponding plot of the differential cross section.

Measured differential cross section with associated uncertainties as a function of $(p_{T}^{\gamma1}-p_{T}^{\gamma2})/m_{\gamma\gamma}$ in bins of $(p_{T}^{\gamma1}+p_{T}^{\gamma2})/m_{\gamma\gamma}$. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $(p_{T}^{\gamma1}-p_{T}^{\gamma2})/m_{\gamma\gamma}$ in bins of $(p_{T}^{\gamma1}+p_{T}^{\gamma2})/m_{\gamma\gamma}$. The bins are the same as in the corresponding plot of the differential cross section.

Measured differential cross section with associated uncertainties as a function of $|\eta^*|$ in the VBF fiducial region. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $|\eta^*|$ in the VBF fiducial region.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{\gamma\gamma jj}$ in the VBF fiducial region. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{\gamma\gamma jj}$ in the VBF fiducial region.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{j1}$ in the VBF fiducial region. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{j1}$ in the VBF fiducial region.

Measured differential cross section with associated uncertainties as a function of $p_{T}^{j1}$ in bins of $\Delta\phi_{jj}$ in the VBF fiducial region. Each systematic uncertainty source is fully uncorrelated with the other sources and fully correlated across bins, except for the background modelling systematics for which an uncorrelated treatment across bins is more appropriate.

Post-fit correlation matrix for the differential cross section measured as a function of $p_{T}^{j1}$ in bins of $\Delta\phi_{jj}$ in the VBF fiducial region. The bins are the same as in the corresponding plot of the differential cross section.

Observed yields in the boost_1_ge2J signal region category of the hh channel.

Observed yields in the boost_2 signal region category of the hh channel.

Observed yields in the boost_3 signal region category of the hh channel.

Observed yields in the ttH_0 signal region category of the hh channel.

Observed yields in the ttH_1 signal region category of the hh channel.

Observed yields in the VH_0 signal region category of the hh channel.

Observed yields in the VH_1 signal region category of the hh channel.

Observed yields in the VBF_0 signal region category of the hh channel.

Observed yields in the VBF_1 signal region category of the hh channel.

Observed yields in the boost_0_1J signal region category of the lh channel.

Observed yields in the boost_0_ge2J signal region category of the lh channel.

Observed yields in the boost_1_1J signal region category of the lh channel.

Observed yields in the boost_1_ge2J signal region category of the lh channel.

Observed yields in the boost_2 signal region category of the lh channel.

Observed yields in the boost_3 signal region category of the lh channel.

Observed yields in the VH_0 signal region category of the lh channel.

Observed yields in the VH_1 signal region category of the lh channel.

Observed yields in the VBF_0 signal region category of the lh channel.

Observed yields in the VBF_1 signal region category of the lh channel.

Observed yields in the boost_0_1J signal region category of the ll channel.

Observed yields in the boost_0_ge2J signal region category of the ll channel.

Observed yields in the boost_1_1J signal region category of the ll channel.

Observed yields in the boost_1_ge2J signal region category of the ll channel.

Observed yields in the boost_2 signal region category of the ll channel.

Observed yields in the boost_3 signal region category of the ll channel.

Observed yields in the VH_0 signal region category of the ll channel.

Observed yields in the VH_1 signal region category of the ll channel.

Observed yields in the VBF_0 signal region category of the ll channel.

Observed yields in the VBF_1 signal region category of the ll channel.

Best-fit values and uncertainties for the pp $\rightarrow H\rightarrow\tau\tau$ cross-section measurement and the measurement in the four dominant production modes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately.

The measured correlations between each parameter of interest in the measurement of the cross-sections per production mode

Best-fit values and uncertainties for the $H\rightarrow\tau\tau$ cross-sections, in the reduced stage 1.2 STXS scheme. The EW production mode includes vector-boson fusion and qq$\rightarrow$V($\rightarrow$qq)H processes. All measurements include the branching ratio of $H\rightarrow\tau\tau$ and are performed with true Higgs boson rapidity $|y_{H}|<2.5$. The SM predictions for each region, computed using the inclusive cross-section calculations and the simulated event samples are also shown. The contributions to the total uncertainty in the measurements from statistical (Stat. unc.) or systematic uncertainties (Syst. unc.) are given separately. The asterisk symbol (*) indicates that the criteria for m$_{jj}$ only apply to events with at least two reconstructed jets.

The measured correlations between each pair of parameters of interest in the STXS measurement. The asterisk symbol (*) indicates that the criteria for mjj only apply to events with at least two reconstructed jets.

Observed and expected 95% CL lower limits on the $T$-quark mass as a function of the $T$-quark width-to-mass ratio and the branching fraction of the $T \rightarrow Ht$ decay ($\Gamma_{T}$ is the $T$-quark width).

Cutflow table listing the number of events passing each criterion for a $T$-quark hypothesis with a mass of 1.6 TeV and $\kappa_{T} = 0.5$. The initial signal event yield is the predicted number of $T$-quark events inclusive in the Higgs-boson and top-quark decays for 139 fb$^{-1}$.

Observed 95% CL upper limits on the single $T$-quark production cross-section as a function of the $T$-quark coupling $\kappa_{T}$ and $m_{T}$.

Expected 95% CL upper limits on the single $T$-quark production cross-section as a function of the $T$-quark coupling $\kappa_{T}$ and $m_{T}$.

Observed and expected 95% CL lower limits on the $T$-quark mass as a function of the $T$-quark width-to-mass ratio and the branching fraction of the $T \rightarrow Wb$ decay ($\Gamma_{T}$ is the $T$-quark width).