The observed upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The observed upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The observed and expected upper limits at $95\%$ CL on the gluino pair production cross section for a gluino GMSB model with $m_{\tilde{g}}=2400$ GeV. The one (two) standard deviation variation in the expected limit is shown in the inner green (outer yellow) band. The blue solid line shows the observed limit obtained by the CMS displaced jet search

The distribution (normalized to unity) of number of ECAL cells hit in the jet for jets in a background enriched data sample (satisfying $|\eta| < 1.48$, $p_\mathrm{T}tf > 0.08$, $\mathrm{HEF} > 0.2$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$ and $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$) and for signal jets satisfying signal region requirements (except those on $E_{\mathrm{ECAL}}$ and $N^{\mathrm{cell}}_{\mathrm{ECAL}}$).

The distribution (normalized to unity) of $\mathrm{HEF}$ for a data sample enriched in beam halo and noise jets (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30 \,\mathrm{GeV}$, $p_\mathrm{T}tf < 0.08$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$) and for signal jets passing signal region selections (except on $\mathrm{HEF}$).

The distribution (normalized to unity) of $E_{\mathrm{HCAL}}$ for a data sample enriched in beam halo and noise jets (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30 \,\mathrm{GeV}$, $p_\mathrm{T}tf < 0.08$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$) and for signal jets passing signal region selections (except on $E_{\mathrm{HCAL}}$).

The distribution (normalized to unity) of $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}}$ for data sample enriched in jets from noise (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $p_\mathrm{T}tf > 0.08$, $\mathrm{HEF} > 0.2$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20 \,\mathrm{GeV}$ and $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$) and for signal jets passing signal region selections (except on $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}}$ and $t^{\mathrm{RMS}}_\mathrm{jet}$)

The distribution (normalized to unity) of $t^{\mathrm{RMS}}_\mathrm{jet}$ for data sample enriched in jets from noise (satisfying $|\eta| < 1.48$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $p_\mathrm{T}tf > 0.08$, $\mathrm{HEF} > 0.2$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20 \,\mathrm{GeV}$ and $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$) and for signal jets passing signal region selections (except on $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}}$ and $t^{\mathrm{RMS}}_\mathrm{jet}$)

The distribution (normalized to unity) of $p_\mathrm{T}tf$ for a data sample enriched in main bunch backgrounds (satisfying $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$, $|t_{\mathrm{jet}}| < 3\,\mathrm{ns}$ and $E_{\mathrm{ECAL}} >20\,\mathrm{GeV}$) and for signal jets passing signal selections (except on $p_\mathrm{T}tf$).

The distribution (normalized to unity) of $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}}$ for a data sample enriched in beam halo (satisfying $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $p_\mathrm{T}tf < 0.08$, $\mathrm{HEF} < 0.2$, $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$, $t_{\mathrm{jet}} < -3\,\mathrm{ns}$ and $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$) and for signal jets passing signal selections (except on $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}}$)

The distribution (normalized to unity) of $\mathrm{max}(\Delta \phi_{\mathrm{DT}})$ for a data sample enriched in cosmic muons (satisfying $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $p_\mathrm{T}tf < 0.08$, $\mathrm{HEF} > 0.2$, $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$, $t_{\mathrm{jet}} > 3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on $\mathrm{max}(\Delta \phi_{\mathrm{DT}})$).

The distribution (normalized to unity) of $\mathrm{max}(\Delta \phi_{\mathrm{RPC}})$ for a data sample enriched in cosmic muons (satisfying $E^{\mathrm{CSC}}_\mathrm{ECAL}/E_{\mathrm{ECAL}} < 0.8$, $p_\mathrm{T} > 30\,\mathrm{GeV}$, $|\eta| < 1.48$, $p_\mathrm{T}tf < 0.08$, $\mathrm{HEF} > 0.2$, $t^{\mathrm{RMS}}_\mathrm{jet}/t_{\mathrm{jet}} < 0.4$, $t_{\mathrm{jet}} > 3\,\mathrm{ns}$, $E_{\mathrm{ECAL}} > 20\,\mathrm{GeV}$ and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on $\mathrm{max}(\Delta \phi_{\mathrm{RPC}})$).

Distribution of $t_{\mathrm{jet}}$ for jets with the full Run 2 dataset with no cleaning selection applied (a) and after all jet cleaning selections are applied (b) in events satisfying the trigger requirements and satisfying $p_T^\mathrm{miss} > 300$. The jets are required to pass an inverted selection of $PV_{\rm track}^{\rm fraction} > 0.08$ to enrich the sample in those originating from main and satellite bunch backgrounds. The cleaning selections are shown to reduce the backgrounds by many orders of magnitude.

Distribution of $t_{\mathrm{jet}}$ for jets with the full Run 2 dataset in events satisfying the trigger requirements and satisfying $p_T^\mathrm{miss} < 300$. The jets are required to pass an inverted selection of $PV_{\rm track}^{\rm fraction} > 0.08$ to enrich the sample in those originating from main and satellite bunch backgrounds (all other jet cleaning selections are applied). Clear contributions from jets from satellite bunch collisions can be seen peaked around -5, 5 and 10 ns.

Contribution to the delayed time of jets from the $\beta$ of the gluino is plotted against the delay contribution from the difference (assuming straight line paths) between the path taken by the gluino and the particle forming the jet from the path length for a particle travelling directly to the same position on the ECAL barrel for gluino $c\tau_{0} = 10$ m and mass of 1000 Gev (top) and 3000 GeV (bottom). The dominant contribution is shown to be the gluino $\beta$.

Selection efficiencies for the GMSB model with $m_{\tilde{g}}=1000$ and various proper decay lengths

Selection efficiencies for the GMSB model with $m_{\tilde{g}}=2400$ and various proper decay lengths

Selection efficiencies for the GMSB model with $m_{\tilde{g}}=3000$ and various proper decay lengths

The observed upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected plus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected minus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section relative to the theoretical cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected plus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

The expected minus 1 $\sigma_{\mathrm{experiment}}$ upper limits at $95\%$ CL for the gluino pair production cross section in the GMSB model, shown in the plane of $m_{\tilde{g}}$ and $c\tau_{0}$. A branching fraction of $100\%$ for the gluino decay to a gluon and a gravitino is assumed. The area below the thick black curve represents the observed exclusion region, while the dashed red lines indicate the expected limits and their $\pm 1$ standard deviation ranges from experimental uncertainties. The thin black lines show the effect of the theoretical uncertainties on the signal cross section.

Upper limits at the 95% CL on the cross section for SSM $W^\prime$ production and decay to the muon+neutrino channel as a function of the $W^\prime$ pole mass.

Combined (electron and muon channels) upper limits at the 95% CL on the cross section for SSM $W^\prime$ production and decay to a single lepton generation as a function of the $W^\prime$ pole mass.

Observed upper limits at the 95% CL on the cross section for generic $W^\prime$ production and decay to the electron+neutrino channel as a function of the $W^\prime$ pole mass.

Observed upper limits at the 95% CL on the cross section for generic $W^\prime$ production and decay to the muon+neutrino channel as a function of the $W^\prime$ pole mass.

Combined (electron and muon channels) observed upper limits at the 95% CL on the cross section for generic $W^\prime$ production and decay to a single lepton generation as a function of the $W^\prime$ pole mass.

Observed upper limits at the 95% CL on the visible cross section in the electron+neutrino channel as a function of the transverse mass threshold.

Observed upper limits at the 95% CL on the visible cross section in the muon+neutrino channel as a function of the transverse mass threshold.

Product of acceptance and efficiency for the electron and muon selections as a function of the $W^\prime$ pole mass.

Expected upper limits at the 95% CL on the cross section for generic $W^\prime$ production and decay to the electron+neutrino channel as a function of the $W^\prime$ pole mass.

Expected upper limits at the 95% CL on the cross section for generic $W^\prime$ production and decay to the muon+neutrino channel as a function of the $W^\prime$ pole mass.

Combined (electron and muon channels) expected upper limits at the 95% CL on the cross section for generic $W^\prime$ production and decay to a single lepton generation as a function of the $W^\prime$ pole mass.

Impact of different components of systematic uncertainty on the measured fiducial cross section, without taking into account correlations. The impact of one source of systematic uncertainty is computed by first performing the fit with the corresponding nuisance parameter fixed to one standard deviation up or down from the value obtained in the nominal fit, then these up and down variations are symmetrized. The impacts of several sources of systematic uncertainty are added in quadrature for each component. The categorization of sources of systematic uncertainties into experimental and theory modeling correspond to those used for the measured fiducial cross section.

Efficiency correction factor $C_{WW}$, defined as the ratio of the number of reconstructed $W^{\pm}W^{\pm}jj$ electroweak events in the signal region over the number of events generated in the fiducial phase space, in bins of the dijet invariant mass, $m_{jj}$. The numbers are shown with their statistical and systematic uncertainties added in quadrature. The $C_{WW}$ factors have been calculated with Sherpa v2.2.2. The last bin includes the overflow.

Efficiency correction factor $C_{WW}$, defined as the ratio of the number of reconstructed $W^{\pm}W^{\pm}jj$ electroweak events in the signal region over the number of events generated in the fiducial phase space, in bins of the dilepton invariant mass, $m_{ll}$. The numbers are shown with their statistical and systematic uncertainties added in quadrature. The $C_{WW}$ factors have been calculated with Sherpa v2.2.2. The last bin includes the overflow.

Observed and expected 95% CL upper limits on the product of the cross section of a Z' resonance decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the cross section of a V' resonance decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the cross section of a V' resonance decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the cross section of a graviton decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the Z' cross section and the Z' -> WW branching fraction as a function of the Z' resonance mass.

Observed and expected 95% CL upper limits on the product of the bulk graviton cross section and the G -> WW branching fraction as a function of the G resonance mass.

Observed and expected 95% CL upper limits on the product of the W' cross section and the W' -> WZ branching fraction as a function of the W' resonance mass.

Observed and expected 95% CL upper limits on the product of the bulk graviton cross section and the G -> ZZ branching fraction as a function of the G resonance mass.

Observed and expected 95% CL upper limits on the product of the W' cross section and the W' -> WH branching fraction as a function of the W' resonance mass.

Observed and expected 95% CL upper limits on the product of the Z' cross section and the Z' -> ZH branching fraction as a function of the Z' resonance mass.

Observed and expected 95% CL upper limits on the product of the bulk graviton cross section and the G -> HH branching fraction as a function of the G resonance mass.

Summary of typical systematic uncertainties for the signal.

Numbers of observed events for all signal regions, including predicted background contributions and expected signal yields.

Limits on anomalous quartic couplings at 95% CL.

Expected and observed 95% CL upper limits on the cross section times the branching ratio sigma(P P --> W+- a)B(a --> W+- W-+) as a function of ALP mass

Expected and observed 95% CL upper limits on the photophobic ALP model parameter 1/f_a as a function of ALP mass.

Observed signal strength, and observed signal cross section.

Measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_\text{T}^{\text{lead }\ell}$.

Statistical correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_\text{T}^{\text{lead }\ell}$.

Total correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_\text{T}^{\text{lead }\ell}$.

Measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $m_{e\mu}$.

Statistical correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $m_{e\mu}$.

Total correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $m_{e\mu}$.

Measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_{T}^{e\mu}$.

Statistical correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_{T}^{e\mu}$.

Total correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_{T}^{e\mu}$.

Measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|y_{e\mu}|$.

Statistical correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|y_{e\mu}|$.

Total correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|y_{e\mu}|$.

Measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $\Delta\phi_{e\mu}$.

Statistical correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $\Delta\phi_{e\mu}$.

Total correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $\Delta\phi_{e\mu}$.

Measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|cos(\theta^*)|$.

Statistical correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|cos(\theta^*)|$.

Total correlation between bins in data for the measured fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|cos(\theta^*)|$.

Measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_\text{T}^{\text{lead }\ell}$.

Statistical correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_\text{T}^{\text{lead }\ell}$.

Total correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_\text{T}^{\text{lead }\ell}$.

Measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $m_{e\mu}$.

Statistical correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $m_{e\mu}$.

Total correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $m_{e\mu}$.

Measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_{T}^{e\mu}$.

Statistical correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_{T}^{e\mu}$.

Total correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $p_{T}^{e\mu}$.

Measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|y_{e\mu}|$.

Statistical correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|y_{e\mu}|$.

Total correlation between bins in data for the measured normalized fiducial cross-section of $WW\rightarrow e\mu$ production for the observable $|y_{e\mu}|$.

Measured normalized fiducial cross section of $WW\rightarrow e\mu$ production for the observable $\Delta\phi_{e\mu}$.

Statistical correlation between bins in data for the measured normalized fiducial cross section of $WW\rightarrow e\mu$ production for the observable $\Delta\phi_{e\mu}$.

Total correlation between bins in data for the measured normalized fiducial cross section of $WW\rightarrow e\mu$ production for the observable $\Delta\phi_{e\mu}$.

Measured normalized fiducial cross section of $WW\rightarrow e\mu$ production for the observable $|cos(\theta^*)|$.

Statistical correlation between bins in data for the measured normalized fiducial cross section of $WW\rightarrow e\mu$ production for the observable $|cos(\theta^*)|$.

Total correlation between bins in data for the measured normalized fiducial cross section of $WW\rightarrow e\mu$ production for the observable $|cos(\theta^*)|$.

List of experimentally considered systematic uncertainties for the WW cross section measurement.

Extrapolated unfolded fiducial cross-section of $WW\rightarrow e\mu$ production as a function of $p_\text{T}^{\text{lead }\ell}$.

Extrapolated unfolded fiducial cross-section of $WW\rightarrow e\mu$ production as a function of $m_{e\mu}$.

Extrapolated unfolded fiducial cross-section of $WW\rightarrow e\mu$ production as a function of $p_{T}^{e\mu}$.

The measured fiducial production cross-sections times branching ratio for $W^+\rightarrow\mu^+\nu$ and $W^-\rightarrow\mu^-\bar{\nu}$, their sum, and their ratio for data

The measured fiducial production cross-sections times branching ratio for $W^+\rightarrow\mu^+ u$ and $W^-\rightarrow\mu^-\bar{\nu}$, their sum, and their ratio for the predictions from DYNNLO (CT14 NNLO PDF set)

Size of the $W^{+}$ the cross-section (differential in $\eta_{\mu}$, as a function of $|\eta_{\mu}|$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. gThe uncertainties are given in percent.

Size of the $W^{+}$ the cross-section (differential in $\eta_{\mu}$, as a function of $|\eta_{\mu}|$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. gThe uncertainties are given in percent.

Size of the asymmetry as a function of $|\eta_{\mu}|$. The central values are provided along with the statistical and systematic uncertainties together with the sign information. The uncertainties are given as an absolute difference from the nominal.