Observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance. The acceptance $\mathcal{A}$ is defined as $\mathcal{A} = N$(events with $m_{X}^{GEN} > 85\% m_{X}^{input}$) / $N$(events generated in the full phase space defined by the CMS default generator settings). Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Mass exclusion ranges of the benchmark signal scenarios are depicted with hatched areas inside the black contours.

Observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance. The acceptance $\mathcal{A}$ is defined as $\mathcal{A} = N$(events with $m_{X}^{GEN} > 85\% m_{X}^{input}$) / $N$(events generated in the full phase space defined by the CMS default generator settings). Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Mass exclusion ranges of the benchmark signal scenarios are depicted with hatched areas inside the black contours.

Efficiencies of the selection requirements on the benchmark signal processes: $Z_{R} \to ggg$ with nominal width ($\Gamma_{X}/m_{X}\sim 3\%$). A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $Z_{R} \to ggg$ with narrow width ($\Gamma_{X}/m_{X}\sim 0.01\%$). A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $G_{KK} \to {\varphi}(gg)g$, where $\varphi$ is the radion. A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $q^{*} \to V(qq)q$, where $V$ is a beyond-the-SM vector boson. A value of -1 means that the corresponding efficiency is not calculated for this year.

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $Z_{R} \to ggg$. The acceptance is defined as $\mathcal{A} = N$(events with $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$)/$N$(events generated in the full phase space defined by the CMS default generator settings).

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $G_{KK} \to {\varphi}(gg)g$.

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $q^{*} \to V(qq)q$.

Observed local significance for a 3-body decay $ggg$ resonance, shown for resonances with nominal width (blue solid line) and narrow width (red dashed line).

Observed local significance for a cascade decay $ggg$ resonance.

Observed local significance for a cascade decay $qqq$ resonance.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.2$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.3$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.4$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.5$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.6$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.7$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.8$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance $m_{Y} / m_{X} = 0.2$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.3$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.4$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.5$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.6$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.7$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.8$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal

Cut flow table of the selection requirments for the $Z_{R}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Cut flow table of the selection requirments for the $G_{KK}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Cut flow table of the selection requirments for the $q^{*}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Predicted production cross section of the benchmark signal process $pp \to Z_{R} \to ggg$.

Predicted production cross section of the benchmark signal process $pp \to G_{KK} \to \varphi(gg)g$.

Predicted production cross section of the benchmark signal process $pp \to q^{*} \to V(qq)q$.

Post-fit distributions of $M_{\ell v jj}$ in the $R2B_A$ subregion for electrons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RW'_A$ subregion for muons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RW'_A$ subregion for electrons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RT_A$ subregion for muons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Post-fit distributions of $M_{\ell v jj}$ in the $RT_A$ subregion for electrons. All process yields and nuisance parameters are set to the values obtained from the background plus signal fit. The signal considered for the fit corresponds to the purely right-handed production of a W' with $m_{W'}$ of 3.6 TeV and a relative width of 1$\%$ of the $m_{W'}$, and is represented by the solid red line. The lower panels show the data minus the expected number of events, normalized to the statistical uncertainty of the data. The orange band represents the systematic uncertainties, also normalized to the statistical uncertainty of the data.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 10%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 20%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a left-handed production of a tb quark pair in the $s$-channel, mediated by a W or W' bosons and including interference terms, given as functions of $m_{W'}$ for a relative width of 30%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 10%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 20%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of $m_{W'}$ for a relative width of 30%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed 95% CL upper limit on the production cross section for a left-handed W' boson in the tb final state, as functions of $m_{W'}$ and relative width $\Gamma/m_{W'}$. Numbers in red, written diagonally, represent values of the excluded cross sections that are lower than the theoretical ones for the analyzed model.

Observed 95% CL upper limit on the production cross section for a right-handed W' boson in the tb final state, as functions of $m_{W'}$ and relative width $\Gamma/m_{W'}$. Numbers in red, written diagonally, represent values of the excluded cross sections that are lower than the theoretical ones for the analyzed model.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 2 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 2.8 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 3.6 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 4.4 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 5.2 TeV.

Observed 95% CL upper limit on the production cross section for a generalized left-right coupling of the W' boson to a t and a b quark for a mass of the W' boson of 6 TeV.

Expected 95% CL lower limit on $m_{W'}$ for a generalized left-right coupling of the W' boson to a t and a b quark.

Observed 95% CL lower limit on $m_{W'}$ for a generalized left-right coupling of the W' boson to a t and a b quark.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of the $m_{W'}$ for a relative width of 10%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid curves show the theoretical expectation at LO in the case that the couplings, and thus the partial widths, are varied together with the total width. In this interpretation the branching fraction of the W' --> tb decays is the same for each value of the width of the W' boson.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of the $m_{W'}$ for a relative width of 20%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid curves show the theoretical expectation at LO in the case that the couplings, and thus the partial widths, are varied together with the total width. In this interpretation the branching fraction of the W' --> tb decays is the same for each value of the width of the W' boson.

Observed and expected 95% CL upper limits on the product of the production cross section for a right-handed W' boson and the W' --> tb branching fraction, as functions of the $m_{W'}$ for a relative width of 30%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid curves show the theoretical expectation at LO in the case that the couplings, and thus the partial widths, are varied together with the total width. In this interpretation the branching fraction of the W' --> tb decays is the same for each value of the width of the W' boson.

Product of detector efficiency and analysis acceptance for signal samples with various $m_a$ values for the muon channel.

Data of the decay $\bar{B}^+ \to D^* \mu \nu_\mu$.

The full experimental (statistical and systematical) correlations of the angular coefficients are shown. The elements are ordered as: Entry 0 - 47: B0 -> D* e nu_e: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 48 - 95: B0 -> D* mu nu_mu: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 96 - 143: B+ -> D* e nu_e: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 144 - 191: B+ -> D* mu nu_mu: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ...

Data of the B+/B0 average $B \to D^* e \nu_e$.

Data of the B+/B0 average $B \to D^* \mu \nu_\mu$.

The full experimental (statistical and systematical) correlations of the angular coefficients are shown. The elements are ordered as: Entry 0 - 47: B -> D* e nu_e: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ... Entry 48 - 95: B -> D* mu nu_mu: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], .....

Data of the B+/B0 and e/mu average $B \to D^* \ell \nu_\ell$.

The full experimental (statistical and systematical) correlations of the angular coefficients are shown. The elements are ordered as: Entry 0 - 47: B -> D* l nu_l: DJ1s/Dw [w_bin0, w_bin1, w_bin2, w_bin3], DJ1c/Dw [w_bin0, w_bin1, w_bin2, w_bin3], ...

Post-fit distributon of BDT discriminants for $\rho_{tc}=1.0$ with $m_A$ = 350 GeV interfered with H.($m_A - m_H$ = 50 GeV)

Observed and expected 95% CL upper limit on the signal strength as a function of $m_A$ for the g2HDM signal model using different coupling assumptions: $\rho_{tu}$ = 0.1, 0.4, 1.0.

Observed and expected 95% CL upper limit on the signal strength as a function of $m_A$ for the g2HDM signal model using different coupling assumptions: $\rho_{tc}$ = 0.1, 0.4, 1.0.

Observed and expected 95% CL upper limit on the signal strength as a function of $m_A$ for the g2HDM signal model using different coupling assumptions: $\rho_{tu}$ = 0.1, 0.4, 1.0 with A–H interference assuming $m_A$ − $m_H$ = 50 GeV.

Observed and expected 95% CL upper limit on the signal strength as a function of $m_A$ for the g2HDM signal model using different coupling assumptions: $\rho_{tc}$ = 0.1, 0.4, 1.0 with A–H interference assuming $m_A$ − $m_H$ = 50 GeV.

Observed 95% CL upper limit on the signal strength as a function of $m_A$ and $\rho_{tu}$ for the g2HDM signal model.

Expected exclusion as a function of $m_A$ and $\rho_{tu}$ for the g2HDM signal model

Observed exclusion as a function of $m_A$ and $\rho_{tu}$ for the g2HDM signal model

Observed 95% CL upper limit on the signal strength as a function of $m_A$ and $\rho_{tc}$ for the g2HDM signal model.

Expected exclusion as a function of $m_A$ and $\rho_{tc}$ for the g2HDM signal model

Observed exclusion as a function of $m_A$ and $\rho_{tc}$ for the g2HDM signal model

Observed 95% CL upper limit on the signal strength as a function of $m_A$ and $\rho_{tu}$ for the g2HDM signal model with A–H interference assuming $m_A$ − $m_H$ = 50 GeV.

Expected exclusion as a function of $m_A$ and $\rho_{tu}$ for the g2HDM signal model with A–H interference assuming $m_A$ − $m_H$ = 50 GeV

Observed exclusion as a function of $m_A$ and $\rho_{tu}$ for the g2HDM signal model with A–H interference assuming $m_A$ − $m_H$ = 50 GeV

Observed 95% CL upper limit on the signal strength as a function of $m_A$ and $\rho_{tc}$ for the g2HDM signal model with A–H interference assuming $m_A$ − $m_H$ = 50 GeV.

Expected exclusion as a function of $m_A$ and $\rho_{tc}$ for the g2HDM signal model with A–H interference assuming $m_A$ − $m_H$ = 50 GeV

Observed exclusion as a function of $m_A$ and $\rho_{tc}$ for the g2HDM signal model with A–H interference assuming $m_A$ − $m_H$ = 50 GeV

The ratios between the hydrodynamic probes and their Taylor expansions. The ratios are plotted as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The ratios between the hydrodynamic probes and their Taylor expansions. The ratios are plotted as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The magnitudes of the measured skewness $\gamma_1^\textrm{exp}$ and "corrected" skewness $\gamma_{1,\textrm{corr}}^\textrm{exp}$ as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The magnitudes of the measured kurtosis $\gamma_2^\textrm{exp}$ and "corrected" kurtosis $\gamma_{2,\textrm{corr}}^\textrm{exp}$ as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The magnitudes of the measured superskewness $\gamma_3^\textrm{exp}$ and "corrected" superskewness $\gamma_{3,\textrm{corr}}^\textrm{exp}$ as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

$z^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in minimum-bias (MB) pp collisions for jet resolution parameter ($R$) = 0.2.

$z^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in minimum-bias (MB) pp collisions for jet resolution parameter ($R$) = 0.3.

$z^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in minimum-bias (MB) pp collisions for jet resolution parameter ($R$) = 0.4.

$z^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in high-multiplicity (HM) pp collisions for jet resolution parameter ($R$) = 0.2.

$z^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in high-multiplicity (HM) pp collisions for jet resolution parameter ($R$) = 0.3.

$z^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in high-multiplicity (HM) pp collisions for jet resolution parameter ($R$) = 0.4.

The ratio of $z^{\mathrm{ch}}$ distributions for $10 < p_{\mathrm{T}}^{\mathrm{jet, ch}} < 20$ GeV/c between high-multiplicity (HM) and minimum-bias (MB) events in pp collisions.

The ratio of $z^{\mathrm{ch}}$ distributions for $30 < p_{\mathrm{T}}^{\mathrm{jet, ch}} < 40$ GeV/c between high-multiplicity (HM) and minimum-bias (MB) events in pp collisions.

The ratio of $z^{\mathrm{ch}}$ distributions for $60 < p_{\mathrm{T}}^{\mathrm{jet, ch}} < 80$ GeV/c between high-multiplicity (HM) and minimum-bias (MB) events in pp collisions.

$\xi^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in minimum-bias (MB) pp collisions for jet resolution parameter ($R$) = 0.2.

$\xi^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in minimum-bias (MB) pp collisions for jet resolution parameter ($R$) = 0.3.

$\xi^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in minimum-bias (MB) pp collisions for jet resolution parameter ($R$) = 0.4.

$\xi^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in high-multiplicity (HM) pp collisions for jet resolution parameter ($R$) = 0.2.

$\xi^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in high-multiplicity (HM) pp collisions for jet resolution parameter ($R$) = 0.3.

$\xi^{\mathrm{ch}}$ distributions in leading jets for different $p_{T}^{\mathrm{jet, ch}}$ intervals in high-multiplicity (HM) pp collisions for jet resolution parameter ($R$) = 0.4.

The ratio of $\xi^{\mathrm{ch}}$ distributions for $10 < p_{\mathrm{T}}^{\mathrm{jet, ch}} < 20$ GeV/c between high-multiplicity (HM) and minimum-bias (MB) events in pp collisions.

The ratio of $\xi^{\mathrm{ch}}$ distributions for $30 < p_{\mathrm{T}}^{\mathrm{jet, ch}} < 40$ GeV/c between high-multiplicity (HM) and minimum-bias (MB) events in pp collisions.

The ratio of $\xi^{\mathrm{ch}}$ distributions for $60 < p_{\mathrm{T}}^{\mathrm{jet, ch}} < 80$ GeV/c between high-multiplicity (HM) and minimum-bias (MB) events in pp collisions.

K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function in HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV (1.8<$m_T$<2.0 GeV/$c^{2}$).

Extracted radii from the fit as a function of \mt for the HM analysis of the K$^+$p (K$^+$p $\oplus$ K$^-\overline{\mathrm p}$) correlation function.

Extracted radii from the fit as a function of \mt for the HM analysis of the same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function. For the extraction two types of backgrounds were assumed either a pol1 or pol2. The assumption of pol1 exhibits a greater or equivalent compatibility with the data compared to the pol2 assumption.

Extracted radii from the fit as a function of \mt for the MB analysis of the same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function. For the extraction two types of backgrounds were assumed either a pol1 or pol2. The assumption of pol2 exhibits a greater or equivalent compatibility with the data compared to the pol1 assumption.

Extracted radii from the fit as a function of \mt for the MB analysis of the same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function. For the extraction two types of backgrounds were assumed either a pol1 or pol2. The assumption of pol2 exhibits a greater or equivalent compatibility with the data compared to the pol1 assumption.

Extracted radii from the fit as a function of \mt for the MB analysis of the same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function. For the extraction two types of backgrounds were assumed either a pol1 or pol2. The assumption of pol2 exhibits a greater or equivalent compatibility with the data compared to the pol1 assumption.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}>$ 0.7.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $1\leq N_{\mathrm{ch}} \leq 18$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $19\leq N_{\mathrm{ch}} \leq 30$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.50\leq k_{\mathrm{T}} \leq 0.70$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for $N_{\mathrm{ch}}\geq~31$ and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$ in MB pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV with selection on the event sphericiy $S_{\mathrm{T}}$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.15\leq k_{\mathrm{T}} \leq 0.30$ GeV/$c$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.30\leq k_{\mathrm{T}} \leq 0.50$ GeV/$c$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.70\leq k_{\mathrm{T}} \leq 0.90$ GeV/$c$.

The same sign $\uppi$--$\uppi$ $\oplus$ $\overline{\uppi}$--$\overline{\uppi}$ correlation function for HM pp collisions at $\sqrt{s_{\mathrm {NN}}}=13 $ TeV and $0.90\leq k_{\mathrm{T}} \leq 1.50$ GeV/$c$.