Forward-backward asymmetry, $N_{\ell}(+\eta_{\textrm{lab}})/ N_{\ell}(-\eta_{\textrm{lab}})$, for the negative leptons.

Forward-backward asymmetry, $N_{\ell}(+\eta_{\textrm{lab}})/ N_{\ell}(-\eta_{\textrm{lab}})$, for the positive leptons.

Forward-backward asymmetry, $N_{\ell}(+\eta_{\textrm{lab}})/ N_{\ell}(-\eta_{\textrm{lab}})$, for the charged-summed W bosons, as a function of the lepton pseudorapidity.

95% CL intervals on the double ratio of measured yields, $(N_{\varUpsilon(3S)} / N_{\varUpsilon(1S)})_{\mathrm{PbPb}} / (N_{\varUpsilon(3S)} / N_{\varUpsilon(1S)})_{pp}$, as a function of centrality, for upsilon $|y|<2.4$ and $p_T<30$GeV, and $p_{T}^{\mu}>4$GeV.

68% CL intervals on the double ratio of measured yields, $(N_{\varUpsilon(3S)} / N_{\varUpsilon(1S)})_{\mathrm{PbPb}} / (N_{\varUpsilon(3S)} / N_{\varUpsilon(1S)})_{pp}$, as a function of centrality, for upsilon $|y|<2.4$ and $p_T<30$GeV, and $p_{T}^{\mu}>4$GeV.

RMS of raw subtracted $p_T$ for jets reconstructed in PbPb collisions (in different centrality bins) with the anti-k$_T$ algorythm with a distance parameter $R=0.3$, in $|\eta|<0.2$.

Inclusive jet cross section in pp collisions, for anti-k$_T$ jets with a distance parameter $R=0.2, 0.3, 0.4$, reconstructed in $|\eta|<0.2$. The '3.7%' luminosity uncertainty is a fully correlated uncertainty, and not included in the point-to-point uncertainty.

Inclusive jet spectra in different centrality bins of PbPb collisions, for anti-k$_T$ jets of distance parameter $R=0.2$, reconstructed in $|\eta|<0.2$. The PbPb spectra in each case are scaled by TAA. The uncertainty on the TAA is considered as global uncertainty (common to all points for a given centrality), and it is not included in the point-to-point uncertainties.

Inclusive jet spectra in different centrality bins of PbPb collisions, for anti-k$_T$ jets of distance parameter $R=0.3$, reconstructed in $|\eta|<0.2$. The PbPb spectra in each case are scaled by TAA. The uncertainty on the TAA is considered as global uncertainty (common to all points for a given centrality), and it is not included in the point-to-point uncertainties.

Inclusive jet spectra in different centrality bins of PbPb collisions, for anti-k$_T$ jets of distance parameter $R=0.4$, reconstructed in $|\eta|<0.2$. The PbPb spectra in each case are scaled by TAA. The uncertainty on the TAA is considered as global uncertainty (common to all points for a given centrality), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, with $|\eta|<2$, for 0-5\% PbPb centrality. The '5.5%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, with $|\eta|<2$, for 5-10\% PbPb centrality. The '5.9%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, with $|\eta|<2$, for 10-30\% PbPb centrality. The '6.9%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, with $|\eta|<2$, for 30-50\% PbPb centrality. The '10%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, with $|\eta|<2$, for 50-70\% PbPb centrality. The '15%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, with $|\eta|<2$, for 70-90\% PbPb centrality. The '18%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Inclusive jet RAA as a function of average Npart, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, reconstructed in the range $80< p_T < 90$GeV/c and $|\eta|<2$.

Inclusive jet RAA as a function of average Npart, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3, 0.4$, reconstructed in the range $130< p_T < 150$GeV/c and $|\eta|<2$.

Inclusive jet RAA as a function of jet $p_T$, for anti-k$_T$ jets with distance parameter $R=0.2, 0.3$, reconstructed in the range $|\eta|<2$, for 0-10\% PbPb centrality. The '5.7%' combined uncertainty on the pp luminosity and PbPb TAA is considered as global uncertainty (common to all points), and it is not included in the point-to-point uncertainties.

Prompt J/$\psi$ $R_{\rm AA}$ as a function of centrality. The average ${N}_{\rm part}$ values correspond to events flatly distributed across centrality.

Prompt J/$\psi$ $R_{\rm AA}$ as a function of rapidity.

Prompt J/$\psi$ $R_{\rm AA}$ as a function of $p_{\rm T}$.

Prompt J/$\psi$ $R_{\rm AA}$ as a function of centrality at high $p_{\rm T}$, 6.5$<p_{\rm T}<$30 GeV/c, in three different $|y|$ regions.

Prompt J/$\psi$ $R_{\rm AA}$ as a function of centrality, at forward rapidity, 1.6$<|y|<$2.4, for two different $p_{\rm T}$ regions.

Nonprompt J/$\psi$ $v_{2}$ as a function of $p_{\rm T}$.

Nonprompt J/$\psi$ $R_{\rm AA}$ as a function of centrality. The average ${N}_{\rm part}$ values correspond to events flatly distributed across centrality.

Nonprompt J/$\psi$ $R_{\rm AA}$ as a function of rapidity.

Nonprompt J/$\psi$ $R_{\rm AA}$ as a function of $p_{\rm T}$.

Nonprompt J/$\psi$ $R_{\rm AA}$ as a function of centrality. The average ${N}_{\rm part}$ values correspond to events flatly distributed across centrality.

Nonprompt J/$\psi$ $R_{\rm AA}$ as a function of centrality. The average ${N}_{\rm part}$ values correspond to events flatly distributed across centrality.

Differential cross section for Y(1S) states as a function of their transverse momentum and per unit of rapidity in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(2S) states as a function of their transverse momentum and per unit of rapidity in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(1S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(2S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(3S) states as a function of their rapidity and integrated over transverse momentum in pp collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 3.7% are not displayed.

Differential cross section for Y(1S) states as a function of their rapidity and integrated over transverse momentum in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Differential cross section for Y(2S) states as a function of their rapidity and integrated over transverse momentum in PbPb collisions. Statistical (systematic) uncertainties are displayed as error bars (boxes). Global relative uncertainties of 6.5% are not displayed.

Nuclear modification factor for Υ(1S) states in PbPb collisions as a function of pT. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(2S) states in PbPb collisions as a function of pT. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(1S) states in PbPb collisions as a function of |y|. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factor for Υ(2S) states in PbPb collisions as a function of |y|. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainty (7.5%) is displayed as a grey box at unity.

Nuclear modification factors for Υ(1S) meson production in PbPb collisions, as a function of centrality, displayed as the average number of participating nucleons. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainties from the PbPb data (3.2%) or from the pp reference (6.3%) are displayed at unity as empty and filled red black boxes, respectively.

Nuclear modification factors for Υ(2S) meson production in PbPb collisions, as a function of centrality, displayed as the average number of participating nucleons. Statistical (systematic) uncertainties are displayed as error bars (boxes), while the global (fully correlated) uncertainties from the PbPb data (3.2%) or from the pp reference (6.9%) are displayed at unity as empty and filled black black boxes, respectively.

Nuclear modification factors for Υ(1S), Υ(2S) and Υ(3S) meson production in PbPb collisions, integrated over centrality. For the Υ(3S), the upper limit derived on the nuclear modification factor is given.

95% CL intervals on the double ratio of measured yields, $(N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{\mathrm{PbPb}} / (N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{pp}$, as a function of pT, for the forward rapidity analysis bin.

Double ratio of measured yields, $(N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{\mathrm{PbPb}} / (N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{pp}$, as a function of centrality, for the midrapidity analysis bin.

95% CL intervals on the double ratio of measured yields, $(N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{\mathrm{PbPb}} / (N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{pp}$, as a function of centrality, for the midrapidity analysis bin.

Double ratio of measured yields, $(N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{\mathrm{PbPb}} / (N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{pp}$, as a function of centrality, for the forward rapidity analysis bin.

95% CL intervals on the double ratio of measured yields, $(N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{\mathrm{PbPb}} / (N_{\psi\mathrm{(2S)}} / N_{J/\psi})_{pp}$, as a function of centrality, for the forward rapidity analysis bin.

Differential cross section of J/psi mesons from b hadrons as a function of dimuon pT in pp and PbPb collisions. The PbPb cross sections are normalised by TAA for direct comparison. Global uncertainties arise from the integrated luminosity uncertainty in pp collisions, and the number of minimum bias events and TAA uncertainties for PbPb collisions.

Differential cross section of prompt J/psi mesons as a function of dimuon rapidty in pp and PbPb collisions. The PbPb cross sections are normalised by TAA for direct comparison. Global uncertainties arise from the integrated luminosity uncertainty in pp collisions, and the number of minimum bias events and TAA uncertainties for PbPb collisions.

Differential cross section of J/psi mesons from b hadrons as a function of dimuon rapidty in pp and PbPb collisions. The PbPb cross sections are normalised by TAA for direct comparison. Global uncertainties arise from the integrated luminosity uncertainty in pp collisions, and the number of minimum bias events and TAA uncertainties for PbPb collisions.

Nuclear modification factor of prompt J/psi mesons as a function of dimuon rapidity. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of collision centrality. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of dimuon pT. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of dimuon pT in the mid-rapidity interval. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of dimuon pT in the most forward rapidity interval. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of collision centrality in the mid- and most forward rapidity intervals. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of pT in three centrality bins. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of collision centrality in the most forward rapidity range at moderate and high pT. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of collision centrality in the mid-rapidity range. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt psi(2S) mesons as a function of collision centrality in the mid-rapidity range. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

95% CL intervals on the nuclear modification factor of prompt psi(2S) mesons as a function of collision centrality in the mid-rapidity range. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt J/psi and psi(2S) mesons as a function of dimuon pT in the mid-rapidity range. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of collision centrality in the forward rapidity range. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt psi(2S) mesons as a function of collision centrality in the forward rapidity range. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

95% CL intervals on the nuclear modification factor of prompt psi(2S) mesons as a function of collision centrality in the forward rapidity range. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of prompt J/psi mesons as a function of dimuon pT in the forward rapidity range. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of prompt psi(2S) mesons as a function of dimuon pT in the forward rapidity range. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

95% CL intervals on the nuclear modification factor of prompt psi(2S) mesons as a function of dimuon pT in the forward rapidity range. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of dimuon rapidity. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of collision centrality. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of dimuon pT. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of dimuon pT in the mid-rapidity interval. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of dimuon pT in the most forward rapidity interval. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of collision centrality in the mid- and most forward rapidity intervals. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of pT in three centrality bins. Global uncertainties arise from the integrated luminosity uncertainty of the pp data, and the number of minimum bias events and TAA uncertainties of the PbPb data.

Nuclear modification factor of nonprompt J/psi mesons as a function of collision centrality in the most forward rapidity range at moderate and high pT. Global uncertainties arise from the full pp statistical and systematic uncertainties (including integrated luminosity uncertainty), and the number of minimum bias events uncertainty of the PbPb data.

Bayesian upper exclusion limits on the ratio $g_{W'}/g_{W}$ for an SSM-like W$\prime$ boson are shown. The unity coupling ratio (blue dotted curve) corresponds to the SSM common benchmark. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian lower exclusion limits on the NUGIM G(221) mixing angle $\cot(\theta_{E})$ are shown as a function of the W$\prime$ boson mass. The theoretically excluded region is shaded in grey. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian upper exclusion limits at 95% CL on the product of the production cross section and branching fraction of a QBH in an associated $ au$ lepton and neutrino final state. Minimum threshold masses $m_{th}$ of up to 6.6 TeV are excluded at 95% CL. The observed limit (solid line) is obtained from the intersection with the LO QBH cross section (blue dotted curve). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian upper limits at 95% CL on the cross section of the process $pp\rightarrow\tau\nu$ mediated via LQ exchange in the t-channel. 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 predicted LQ cross section at LO in the three coupling benchmark scenarios is depicted in different colors for $g_{U}=1$. The uncertainty bandy correspond to the sum in quadrature of PDF and scale variations. The first benchmark scenario considers only couplings to left-handed SM fermions (i.e. $\beta_{\text{R}}^{ij}=0$) and is referred to as "best fit LH". The second benchmark, referred to as "best fit LH+RH", considers $|\beta_{\text{R}}^{\text{b}\tau}|=1$ and all other $\beta_{\text{R}}^{ij}=0$. In the third "democratic" benchmark, equal couplings only to LH fermions are assumed, i.e. $\beta_{\text{L}}^{ij}=1$ and $\beta_{\text{R}}^{ij}=0$ for all $i$ and $j$.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the LH scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the LH+RH scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the democratic scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Bayesian upper exclusion limits at 95% CL on each of the Wilson coefficients described by the EFT model based on 2016-2018 data. The three different coupling types represent a left-handed vector coupling ($\epsilon^{cb}_{L}$), tensor-like coupling ($\epsilon^{cb}_{T}$), and scalar-tensor-like coupling ($\epsilon^{cb}_{S_{L}}$). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

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.