Results for the covariance matrix where the parameters a, b, c, and d are taken from a linear fit to the different CP-violating samples.

The elliptic flow $v_2\{SP\}$ for charged hadron as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{4\}$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{6\}$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{8\}$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{SP\}$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{4\}$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{6\}$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{8\}$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{SP\}$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{4\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{6\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{8\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{p-SP\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{Pb-SP\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{4\}$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{6\}$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{p-SP\}$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{Pb-SP\}$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{4\}$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{6\}$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{p-SP\}$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{Pb-SP\}$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{4,veto\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{6,veto\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The ratio $v_2\{4,veto\}/v_2\{4\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The ratio $v_2\{6,veto\}/v_2\{6\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{4,Sub\}$ for charged hadron as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{4,Sub\}$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{4,Sub\}$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The elliptic flow $v_2\{4,Sub\}$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{4,Sub\}$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The elliptic flow $v_2\{4,Sub\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The ratio $v_2\{4,Sub\}/v_2\{4\}$ for charged hadron as a function of $p_T$ in PbPb collision at 5.02 TeV.

The ratio $v_2\{4,Sub\}/v_2\{4\}$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The ratio $v_2\{4,Sub\}/v_2\{4\}$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The ratio $v_2\{4,Sub\}/v_2\{4\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The ratio $v_2\{4,Sub\}/v_2\{4\}$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The ratio $v_2\{4,Sub\}/v_2\{4\}$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The flow fluctuation $\sigma/\langle v_{2} \rangle$ for charged hadron as a function of $p_T$ in PbPb collision at 5.02 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ for $K_S^0$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ for $\Lambda$ as a function of $p_T$ in pPb collision at 8.16 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ using $v_2\{4\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ using $v_2\{6\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The flow fluctuation $\sigma/\langle v_2 \rangle$ using $v_2\{4,veto\}$ for charged hadron as a function of $p_T$ in pPb collision at 8.16 TeV.

The $v_2\{6\}/v_2\{4\}$ ratio for charged hadron as a function of $p_T$ in PbPb collision at 5.02 TeV.

The $v_2\{6\}/v_2\{4\}$ ratio for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The $v_2\{6\}/v_2\{4\}$ ratio for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The $v_2\{8\}/v_2\{4\}$ ratio for charged hadron as a function of $p_T$ in PbPb collision at 5.02 TeV.

The $v_2\{8\}/v_2\{4\}$ ratio for $K_S^0$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

The $v_2\{8\}/v_2\{4\}$ ratio for $\Lambda$ as a function of $p_T$ in PbPb collision at 5.02 TeV.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the dijet-1 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the dijet-2 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the dijet-3 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the untagged 1 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the untagged 2 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the untagged 3 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Fits to the $m_{\ell^+\ell^-\gamma}$ data distribution in the untagged 4 categories. In the upper panel, the red solid line shows the result of a signal-plus-background fit to the given category. The red dashed line shows the background component of the fit. The green and yellow bands represent the 68 and 95% CL uncertainties in the fit. Also plotted is the expected SM signal, scaled by a factor of 10. In the lower panel, the data minus the background component of the fit is shown.

Observed signal strength ($\mu$) for a SM Higgs boson at 125.38 GeV. The labels untagged combined,dijet combined and combined represent the results obtained from simultaneous fits of the untagged categories, dijet categories, and full set of categories, respectively. The black solid line shows $\mu=1$, and the red dashed line shows the best fit value $\hat{\mu}=2.4$ of all categories combined.

Upper limit (95% CL) on the signal strength ($\mu$) relative to the SM prediction, as a function of the assumed value of the Higgs boson mass used in the fit.

Upper limits on the production cross section times branching fraction of the b* RH hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Upper limits on the production cross section times branching fraction of the b* VL hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Upper limits on the production cross section times branching fraction of the B+b hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Upper limits on the production cross section times branching fraction of the B+t hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Exclusion limit for BrHZX_BrXee

Exclusion limit for BrHZX_BrXmumu

Exclusion limit for BrHZX_BrXll

Exclusion limit for cah

Exclusion limit for cZh

Exclusion limit for kappa

Dijet signal efficiencies as a function of the signal mass and lifetime for events satisfying all event and vertex requirements, with corrections based on systematic differences in the vertex reconstruction efficiency between data and simulation.

The distribution of $d_{\mathrm{BV}}$ for $\geq$5-track one-vertex events in data and three simulated multijet signal samples each with a mass of 1600 GeV. The production cross section for each signal model is assumed to be the lower limit excluded by CMS-EXO-17-018, corresponding to values of 0.8, 0.25, and 0.15 fb for the samples with $c\tau =$ 0.3, 1.0, and 10 mm, respectively. The last bin includes the overflow events. This bin includes one event in data with a vertex with large $d_{\mathrm{BV}}$ that appears to arise from tracks originating from separate pp interaction vertices, consistent with background.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized to the number of two-vertex events in data with two 3-track vertices. The two vertical red dashed lines separate the regions used in the fit.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized to the number of two-vertex events in data which have exactly one 4-track vertex and one 3-track vertex. The two vertical red dashed lines separate the regions used in the fit.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized to the number of two-vertex events in data with two 4-track vertices. The two vertical red dashed lines separate the regions used in the fit.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized using $\geq$5-track one-vertex event information. The two vertical red dashed lines separate the regions used in the fit.

Predicted yields for the background-only normalized template, predicted yields for three simulated multijet signals each with a mass of 1600 GeV, and the observed yield in each $d_{\mathrm{VV}}$ bin. The production cross section for each signal model is assumed to be the lower limit excluded by CMS-EXO-17-018, corresponding to values of 0.8, 0.25, and 0.15 fb for samples with $c\tau =$ 0.3, 1.0, and 10 mm, respectively. The uncertainties in the signal yields and the systematic uncertainties in the background prediction reflect the systematic uncertainties given in the text.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the multijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the neutralino (red) and gluino (purple) with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the multijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the neutralino (red) and gluino (purple) with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the multijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the neutralino (red) and gluino (purple) with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the dijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the top squark with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the dijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the top squark with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for multijet signals, for a fixed $c\tau$ of 300um in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for dijet signals, for a fixed $c\tau$ of 300um in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for multijet signals, for a fixed $c\tau$ of 1 mm in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for dijet signals, for a fixed $c\tau$ of 1 mm in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for multijet signals, for a fixed $c\tau$ of 10 mm in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for dijet signals, for a fixed $c\tau$ of 10 mm in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for multijet signals, for a fixed mass of 800 GeV in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for dijet signals, for a fixed mass of 800 GeV in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for multijet signals, for a fixed mass of 1600 GeV in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for dijet signals, for a fixed mass of 1600 GeV in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for multijet signals, for a fixed mass of 2400 GeV in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals. For $m$ = 2400 GeV, the expected neutralino cross section is $\approx 8\times 10^{-5}$ fb and is not shown.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for dijet signals, for a fixed mass of 2400 GeV in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Data-to-simulation efficiency correction factors, shown for multijet and dijet signal topologies in several ranges of $c\tau$. Note that these correction factors account for the two long-lived particles in the simulated events, and are therefore the total correction factors used to scale event yields rather than the correction factors one would apply to individual vertices.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from 3-track one-vertex events in data, and is normalized to the number of 3-track two-vertex events in data.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from 4-track and 3-track one-vertex events in data, and is normalized to the number of two-vertex events in data which have exactly one 4-track vertex and one 3-track vertex.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from 4-track one-vertex events in data, and is normalized to the number of 4-track two-vertex events in data.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from $\geq$5-track one-vertex events in data, and is normalized using one-vertex event information. No $\geq$5-track two-vertex data events pass the selection.

The Z boson differential cross section as a function of |yZ|.

The Z boson differential cross section as a function of |yZ|.

The Z boson differential cross section as a function of |yZ|.

The Z boson differential cross section as a function of pTZ.

The Z boson differential cross section as a function of pTZ.

The Z boson differential cross section as a function of pTZ.

The TAA-normalized yields of Z bosons as a function of centrality.

The TAA-normalized yields of Z bosons as a function of centrality.

The TAA-normalized yields of Z bosons as a function of centrality.