The $\delta m=m_{3\ell}-m_{ell^+\ell^-}$ distributions for the $3\ell+jj$ category and $Z+\mu$ flavor channel.

The $\delta m=m_{3\ell}-m_{ell^+\ell^-}$ distributions for the $3\ell$-only category and $Z+e$ flavor channel.

The $\delta m=m_{3\ell}-m_{ell^+\ell^-}$ distributions for the $3\ell$-only category and $Z+\mu$ flavor channel.

95\% CL upper limits on the vector-like lepton cross section, for heavy vector-like leptons coupling exclusively to electrons.

95\% CL upper limits on the vector-like lepton cross section, for heavy vector-like leptons coupling exclusively to muons.

95% CL upper limits on the type-III seesaw production cross section, for the seesaw leptons coupling exclusively to electrons.

95% CL upper limits on the type-III seesaw production cross section, for the seesaw leptons coupling exclusively to muons.

95% CL upper limits on $\sigma_{\mathrm{vis}}$ for the $Z+e$ flavour channel, derived without dividing events into the three categories.

95% CL upper limits on $\sigma_{\mathrm{vis}}$ for the $Z+\mu$ flavour channel, derived without dividing events into the three categories.

95% CL upper limits on $\sigma_{\mathrm{vis}}$ for the $Z+e$ flavour channel, for events in the four lepton signal region.:.

95% CL upper limits on $\sigma_{\mathrm{vis}}$ for the $Z+\mu$ flavour channel, for events in the four lepton signal region.

95% CL upper limits on $\sigma_{\mathrm{vis}}$ for the $Z+e$ flavour channel, for events in the two-jet signal region.

95% CL upper limits on $\sigma_{\mathrm{vis}}$ for the $Z+\mu$ flavour channel, for events in the two-jet signal region.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)e^{\pm}$ decay in the inclusive category and $Z+e$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+e$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)\mu^{\pm}$ decay in the inclusive category and $Z+\mu$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+\mu$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)e^{\pm}$ decay in the $4\ell$ category and $Z+e$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+e$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)\mu^{\pm}$ decay in the $4\ell$ category and $Z+\mu$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+\mu$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)e^{\pm}$ decay in the $3\ell+jj$ category and $Z+e$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+e$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)\mu^{\pm}$ decay in the $3\ell+jj$ category and $Z+\mu$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+\mu$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)e^{\pm}$ decay in the $3\ell$-only category and $Z+e$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+e$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Efficiencies for reconstructing and correctly identifying the $L^{\pm}\rightarrow Z(\ell\ell)\mu^{\pm}$ decay in the $3\ell$-only category and $Z+\mu$ flavor channel, for events within the fiducial volume for the type-III seesaw model. One heavy lepton is required to decay to $Z+\mu$, with the $Z$ boson decaying leptonically. The efficiencies are shown separately for each decay mode of the second heavy lepton.

Selection efficiency x Acceptance for a spin-0 resonance.

Reconstructed m_tt spectrum for the boosted selections.

Reconstructed m_tt spectrum for the resolved selections.

Reconstructed m_tt spectrum for the all the selections.

Limits on the production cross-section x branching ratio to tt final states as a function of the mass of Z'TC2.

Limits on the production cross-section x branching ratio to tt final states as a function of the mass of bulk RS KK graviton.

Limits on the production cross-section x branching ratio to tt final states as a function of the mass of bulk RS KK gluon.

Limits on the production cross-section x branching ratio to tt final states as a function of the mass of a scalar.

Limits on the production cross-section x branching ratio to tt final states as a function of the width of a 1TeV bulk RS KK gluon.

Limits on the production cross-section x branching ratio to tt final states as a function of the width of a 2TeV bulk RS KK gluon.

Limits on the production cross-section x branching ratio to tt final states as a function of the width of a 3TeV bulk RS KK gluon.

Migration from the true mtt values to the reconstructed mtt values for the resolved selection.

Migration from the true mtt values to the reconstructed mtt values for the boosted selection.

Measured cross section in bins of $p_{\rm{T}}^{\rm{j}1}$.

Measured fractions in bins of $p_{\rm{T}}^{\rm{H}}$.

Measured fractions in bins of $|y^{\rm{H}}|$.

Measured fractions in bins of $N_{\rm{jets}}$.

Measured fractions in bins of $p_{\rm{T}}^{\rm{j1}}$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $p_{\rm{T}}^{\rm{H}}$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $|y^{\rm{H}}|$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $N_{\rm{jets}}$.

Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $p_{\rm{T}}^{\rm{j1}}$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $p_{\rm{T}}^{\rm{H}}$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $|y^{\rm{H}}|$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $N_{\rm{jets}}$.

Correlation matrix for the total uncertainty of the differential shape measurement in bins of $p_{\rm{T}}^{\rm{j1}}$.

The total $pp\to H$ cross section in the $H\to\gamma\gamma$ and $H\to ZZ^*\to 4\ell$ channels and their combination.

Vertex-level efficiency if no re-tracking is performed, as a function of the vertex radial position for an RPV SUSY model of squark production with $\tilde{q}\to q[\tilde{\chi}_1^0\to\mu qq]$, where $m(\tilde{q}) = 700$ GeV, $m(\tilde{\chi}_1^0) = 494$ GeV and $c\tau(\tilde{\chi}_1^0)$ = 175 mm. The result with re-tracking is tabulated in http://hepdata.cedar.ac.uk/view/ins1362183/d1.

Upper limits (95% CL) on the number of DV+muon displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 7a) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark or gluino pair production, with masses in GeV as indicated, with either $\tilde{q}\to q[\tilde{\chi}_1^0\to\mu qq]$ or $\tilde{g}\to qq[\tilde{\chi}_1^0\to\mu qq]$ decays, respectively.

Upper limits (95% CL) on the number of DV+muon displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 7b) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark or gluino pair production, with masses in GeV as indicated, with either $\tilde{q}\to q\tilde{\chi}_1^0$ or $\tilde{g}\to qq\tilde{\chi}_1^0$ decays, respectively.

Upper limits (95% CL) on the number of DV+electron displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 7c) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark or gluino pair production, with masses in GeV as indicated, with either $\tilde{q}\to q[\tilde{\chi}_1^0\to e qq]$ or $\tilde{g}\to qq[\tilde{\chi}_1^0\to e qq]$ decays, respectively.

Upper limits (95% CL) on the number of DV+electron displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 7d) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark or gluino pair production, with masses in GeV as indicated, with either $\tilde{q}\to q\tilde{\chi}_1^0$ or $\tilde{g}\to qq\tilde{\chi}_1^0$ decays, respectively.

Upper limits (95% CL) on the number of dilepton $e^+e^-$ displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 5a) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to ee\nu]$ decays and masses in GeV as indicated. A dash indicates results omitted due to limited statistical precision.

Upper limits (95% CL) on the number of dilepton $e^{\pm}\mu^{\mp}$ displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 5b) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to e\mu\nu]$ decays and masses in GeV as indicated.

Upper limits (95% CL) on the number of $\mu^+\mu^-$ displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 5c) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to \mu\mu\nu]$ decays and masses in GeV as indicated. A dash indicates results omitted due to limited statistical precision.

Upper limits (95% CL) on the number of dilepton ($e^+e^-+e^{\pm}\mu^{\mp}+\mu^+\mu^-$) displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 5d) for two GGM SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV and $m(\tilde{\chi}_1^0)$ = 400 GeV.

Upper limits (95% CL) on the number of dilepton ($e^+e^-+e^{\pm}\mu^{\mp}+\mu^+\mu^-$) displaced vertices in 20.3 fb$^{-1}$ and the corresponding vertex-level efficiencies (from Auxiliary Figure 5d) for two GGM SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV and $m(\tilde{\chi}_1^0)$ = 1000 GeV.

Upper limits (95% CL) from the dilepton $e^+e^-+e^{\pm}\mu^{\mp}$ channels on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 6a) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to e\mu\nu/ee\nu]$ decays and masses in GeV as indicated. For comparison, the production cross-sections for $m(\tilde{g})$ = 600 GeV and 1300 GeV are $1280\pm230$ fb and $1.7\pm0.7$ fb, respectively.

Upper limits (95% CL) from the dilepton $e^{\pm}\mu^{\mp}+\mu^+\mu^-$ channels on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 6b) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to e\mu\nu/\mu\mu\nu]$ decays and masses in GeV as indicated. For comparison, the production cross-sections for $m(\tilde{g})$ = 600 GeV and 1300 GeV are $1280\pm230$ fb and $1.7\pm0.7$ fb, respectively. A dash indicates results omitted due to limited statistical precision.

Upper limits (95% CL) from the dilepton $e^+e^-+e^{\pm}\mu^{\mp}+\mu^+\mu^-$ channels on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 6c) for two GGM SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV and $m(\tilde{\chi}_1^0)$ = 400 GeV. For comparison, the production cross-section for $m(\tilde{g})$ = 1100 GeV is $7.6\pm2.8$ fb.

Upper limits (95% CL) from the dilepton $e^+e^-+e^{\pm}\mu^{\mp}+\mu^+\mu^-$ channels on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 6c) for two GGM SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV and $m(\tilde{\chi}_1^0)$ = 1000 GeV. For comparison, the production cross-section for $m(\tilde{g})$ = 1100 GeV is $7.6\pm2.8$ fb.

Upper limits (95% CL) from the DV+jets channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 8a) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark pair production, with $\tilde{q}\to q\tilde{\chi}_1^0$ decays, $m(\tilde{q})$ = 700 GeV and $m(\tilde{\chi}_1^0)$ = 494 GeV. For comparison, the production cross-section for $m(\tilde{q})$ = 700 GeV is $124\pm17$ fb. A dash indicates where the limit-setting procedure did not converge.

Upper limits (95% CL) from the DV+jets channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 8b) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark pair production, with $\tilde{q}\to q\tilde{\chi}_1^0$ decays, $m(\tilde{q})$ = 1000 GeV and $m(\tilde{\chi}_1^0)$ = 108 GeV. For comparison, the production cross-section for $m(\tilde{q})$ = 1000 GeV is $11.9\pm1.5$ fb. A dash indicates where the limit-setting procedure did not converge.

Upper limits (95% CL) from the DV+$E_T^{miss}$ channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 9a) for two GGM SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV and a $\tilde{\chi}_1^0$ mass in GeV as indicated. For comparison, the production cross-section for $m(\tilde{g})$ = 1100 GeV is $7.6\pm2.8$ fb.

Upper limits (95% CL) from the DV+jets channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 9b) for two GGM SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV and a $\tilde{\chi}_1^0$ mass in GeV as indicated. For comparison, the production cross-section for $m(\tilde{g})$ = 1100 GeV is $7.6\pm2.8$ fb. A dash indicates where the limit-setting procedure did not converge.

Upper limits (95% CL) from the DV+$E_T^{miss}$ channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 10a) for four split-SUSY models as a function of the $\tilde{g}$ proper decay distance $c\tau$. The models consider gluino pair production, with $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays, $\tilde{g}$ masses in GeV as indicated and $m(\tilde{\chi}_1^0)$ = 100 GeV. For comparison, the production cross-sections for $m(\tilde{g})$ = 400 GeV, 800 GeV and 1400 GeV are $18700\pm2800$ fb, $149\pm31$ fb and $0.71\pm0.32$ fb, respectively.

Upper limits (95% CL) from the DV+jets channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 10b) for four split-SUSY models as a function of the $\tilde{g}$ proper decay distance $c\tau$. The models consider gluino pair production, with $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays, $\tilde{g}$ masses in GeV as indicated and $m(\tilde{\chi}_1^0)$ = 100 GeV. For comparison, the production cross-sections for $m(\tilde{g})$ = 400 GeV, 800 GeV and 1400 GeV are $18700\pm2800$ fb, $149\pm31$ fb and $0.71\pm0.32$ fb, respectively. A dash indicates where the limit-setting procedure did not converge or the limit is greater than $10^8$ fb.

Upper limits (95% CL) from the DV+$E_T^{miss}$ channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 10c) for three split-SUSY models as a function of the $\tilde{g}$ proper decay distance $c\tau$. The models consider gluino pair production, with $[\tilde{g}\to tt \tilde{\chi}_1^0]$ decays, $\tilde{g}$ masses in GeV as indicated and $m(\tilde{\chi}_1^0)$ = 100 GeV. For comparison, the production cross-sections for $m(\tilde{g})$ = 600 GeV, 1000 GeV and 1400 GeV are $1270\pm230$ fb, $22\pm6$ fb and $0.71\pm0.32$ fb, respectively.

Upper limits (95% CL) from the DV+jets channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 10d) for three split-SUSY models as a function of the $\tilde{g}$ proper decay distance $c\tau$. The models consider gluino pair production, with $[\tilde{g}\to tt \tilde{\chi}_1^0]$ decays, $\tilde{g}$ masses in GeV as indicated and $m(\tilde{\chi}_1^0)$ = 100 GeV. For comparison, the production cross-sections for $m(\tilde{g})$ = 600 GeV, 1000 GeV and 1400 GeV are $1270\pm230$ fb, $22\pm6$ fb and $0.71\pm0.32$ fb, respectively. A dash indicates where the limit-setting procedure did not converge.

Upper limits (95% CL) from the DV+$E_T^{miss}$ channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 10e) for four split-SUSY models as a function of the $\tilde{g}$ proper decay distance $c\tau$. The models consider gluino pair production, with $[\tilde{g}\to tt \tilde{\chi}_1^0]$ decays, $\tilde{g}$ masses in GeV as indicated and $m(\tilde{\chi}_1^0)$ = $m(\tilde{g}) - 480$ GeV. For comparison, the production cross-sections for $m(\tilde{g})$ = 500 GeV, 800 GeV and 1400 GeV are $4450\pm700$ fb, $149\pm31$ fb and $0.71\pm0.32$ fb, respectively.

Upper limits (95% CL) from the DV+jets channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 10f) for four split-SUSY models as a function of the $\tilde{g}$ proper decay distance $c\tau$. The models consider gluino pair production, with $[\tilde{g}\to tt \tilde{\chi}_1^0]$ decays, $\tilde{g}$ masses in GeV as indicated and $m(\tilde{\chi}_1^0)$ = $m(\tilde{g}) - 480$ GeV. For comparison, the production cross-sections for $m(\tilde{g})$ = 500 GeV, 800 GeV and 1400 GeV are $4450\pm700$ fb, $149\pm31$ fb and $0.71\pm0.32$ fb, respectively. A dash indicates where the limit-setting procedure did not converge.

Observed 95% CL exclusion contour in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY model with gluino production, $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays and $m(\tilde{\chi}_1^0)$ = 100 GeV. These results are obtained from the DV+$E_T^{miss}$ and DV+jets channels, see http://hepdata.cedar.ac.uk/view/ins1362183/d34 for details.

Expected 95% CL exclusion contour in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY model with gluino production, $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays and $m(\tilde{\chi}_1^0)$ = 100 GeV. These results are obtained from the DV+$E_T^{miss}$ and DV+jets channels, see http://hepdata.cedar.ac.uk/view/ins1362183/d34 for details.

Observed 95% CL exclusion contour in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY model with gluino production, $[\tilde{g}\to tt \tilde{\chi}_1^0]$ decays and $m(\tilde{\chi}_1^0)$ = 100 GeV. These results are obtained from the DV+$E_T^{miss}$ and DV+jets channels, see http://hepdata.cedar.ac.uk/view/ins1362183/d34 for details.

Expected 95% CL exclusion contour in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY model with gluino production, $[\tilde{g}\to tt \tilde{\chi}_1^0]$ decays and $m(\tilde{\chi}_1^0)$ = 100 GeV. These results are obtained from the DV+$E_T^{miss}$ and DV+jets channels, see http://hepdata.cedar.ac.uk/view/ins1362183/d34 for details.

Observed 95% CL exclusion contour in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY model with gluino production, $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays and $m(\tilde{\chi}_1^0)$ = $m(\tilde{g})$ - 480 GeV. These results are obtained from the DV+$E_T^{miss}$ and DV+jets channels, see http://hepdata.cedar.ac.uk/view/ins1362183/d34 for details.

Expected 95% CL exclusion contour in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY model with gluino production, $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays and $m(\tilde{\chi}_1^0)$ = $m(\tilde{g})$ - 480 GeV. These results are obtained from the DV+$E_T^{miss}$ and DV+jets channels, see http://hepdata.cedar.ac.uk/view/ins1362183/d34 for details.

Choice of signal region in the $m(\tilde{g})$-$c\tau$ plane for the split-SUSY models with gluino decays and neutralino masses in GeV as indicated. A value of 1 indicates that the DV+$E_T^{miss}$ channel provided the best expected constraint for that point, while a value of -1 indicates the DV+jets channel. A dash indicates where results were not calculated for a particular mass/lifetime combination.

Upper limits (95% CL) from the DV+$E_T^{miss}$ channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 11a) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark or gluino pair production, with masses in GeV as indicated, with either $\tilde{q}\to q[\tilde{\chi}_1^0\to \nu qq]$ or $\tilde{g}\to qq[\tilde{\chi}_1^0\to \nu qq]$ decays, respectively. For comparison, the production cross-sections for $m(\tilde{g})$ = 700 GeV, $m(\tilde{q})$ = 700 GeV and $m(\tilde{q})$ = 1000 GeV are $430\pm80$ fb, $124\pm17$ fb and $11.9\pm1.5$ fb, respectively.

Upper limits (95% CL) from the DV+$E_T^{miss}$ channel on the production cross-section and the corresponding event-level efficiencies (from Auxiliary Figure 11b) for four RPV SUSY models as a function of the $\tilde{\chi}_1^0$ proper decay distance $c\tau$. The models consider squark pair production, with $\tilde{q}\to q\tilde{\chi}_1^0$ decays and masses in GeV as indicated. For comparison, the production cross-sections for $m(\tilde{q})$ = 700 GeV and 1000 GeV are $124\pm17$ fb and $11.9\pm1.5$ fb, respectively.

Vertex mass distributions in data and one RPV SUSY signal model, for vertices with 3, 4 and $\geq$5 tracks in the DV+muon channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for squark pair production, with $\tilde{q}\to q[\tilde{\chi}_1^0\to\mu qq]$ decays, $m(\tilde{q})$ = 700 GeV, $m(\tilde{\chi}_1^0)$ = 494 GeV and $c\tau(\tilde{\chi}_1^0)$ = 175 mm.

Vertex mass distributions in data and one GGM SUSY signal model, for vertices with 3, 4 and $\geq$5 tracks in the DV+jets channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to Z\tilde{G}]$ decays, $m(\tilde{g})$ = 1100 GeV, $m(\tilde{\chi}_1^0)$ = 400 GeV and $c\tau(\tilde{\chi}_1^0)$ = 175 mm.

Vertex mass distributions in data and one RPV SUSY signal model, for vertices with 3, 4 and $\geq$5 tracks in the DV+electron channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for squark pair production, with $\tilde{q}\to q[\tilde{\chi}_1^0\to e qq]$ decays, $m(\tilde{q})$ = 700 GeV, $m(\tilde{\chi}_1^0)$ = 494 GeV and $c\tau(\tilde{\chi}_1^0)$ = 175 mm.

Vertex mass distributions in data and one split-SUSY signal model, for vertices with 3, 4 and $\geq$5 tracks in the DV+$E_T^{miss}$ channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for gluino pair production, with $[\tilde{g}\to g/qq \tilde{\chi}_1^0]$ decays, $m(\tilde{g})$ = 1400 GeV, $m(\tilde{\chi}_1^0)$ = 100 GeV and $c\tau(\tilde{g})$ = 175 mm.

Vertex mass distributions in data and one RPV SUSY signal model, for vertices with 0, 1 and $\geq$2 charged leptons in the dilepton $e^+e^-$ channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to e\mu\nu/ee\nu]$ decays, $m(\tilde{g})$ = 1300 GeV, $m(\tilde{\chi}_1^0)$ = 50 GeV and $c\tau(\tilde{\chi}_1^0)$ = 30 mm.

Vertex mass distributions in data and one RPV SUSY signal model, for vertices with 0, 1 and $\geq$2 charged leptons in the dilepton $e^{\pm}\mu^{\mp}$ channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to e\mu\nu/ee\nu]$ decays, $m(\tilde{g})$ = 1300 GeV, $m(\tilde{\chi}_1^0)$ = 50 GeV and $c\tau(\tilde{\chi}_1^0)$ = 30 mm.

Vertex mass distributions in data and one RPV SUSY signal model, for vertices with 0, 1 and $\geq$2 charged leptons in the dilepton $\mu^+\mu^-$ channel. The entries are the number of DVs in each bin, not normalized according to bin size. The signal model is for gluino pair production, with $\tilde{g}\to qq[\tilde{\chi}_1^0\to e\mu\nu/\mu\mu\nu]$ decays, $m(\tilde{g})$ = 1300 GeV, $m(\tilde{\chi}_1^0)$ = 50 GeV and $c\tau(\tilde{\chi}_1^0)$ = 30 mm.

Details of sparticle decay modes, model parameters, approximate number of generated events $N_{\rm evts}$ and total production cross-section $\sigma$ for selected models considered in this analysis. The long-lived particle (LLP) is the $\tilde{\chi}_1^0$ in all cases except for the model used for DV+$E_T^{miss}$, where it is the $\tilde{g}$. Events in some models are filtered to make better use of computing resources, details are given in the original table and the associated efficiency is already taken into account in the quoted cross-sections.

Numbers of events satisfying each selection criterion in turn for the DV+muon channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Filter and trigger'' line includes the requirements placed on the primary vertex.

Numbers of events satisfying each selection criterion in turn for the DV+electron channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Filter and trigger'' line includes the requirements placed on the primary vertex.

Numbers of events satisfying each selection criterion in turn for the DV+jets channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Filter and trigger'' line includes the requirements placed on the primary vertex.

Numbers of events satisfying each selection criterion in turn for the DV+$E_T^{miss}$ channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Filter and trigger'' line includes the requirements placed on the primary vertex.

Numbers of events satisfying each selection criterion in turn for the dilepton $e^+e^-$ channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Trigger'' line includes the event-level cosmic-muon veto and the requirements placed on the primary vertex, but not the offline filter selection. This is included in the ''Lepton reconstruction and DV match'' line, along with all other requirements placed on offline-reconstructed leptons. About 20,000 events of the full sample are analyzed, which contain an equal mixture of $\tilde{\chi}_1^0 \to e^{\pm}\mu^{\mp}\nu$ and $\tilde{\chi}_1^0 \to e^+e^-\nu$ decays.

Numbers of events satisfying each selection criterion in turn for the dilepton $e^{\pm}\mu^{\mp}$ channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Trigger'' line includes the event-level cosmic-muon veto and the requirements placed on the primary vertex, but not the offline filter selection. This is included in the ''Lepton reconstruction and DV match'' line, along with all other requirements placed on offline-reconstructed leptons. The sample contains about 50% $\tilde{\chi}_1^0 \to e^{\pm}\mu^{\mp}\nu$ decays, 25% $\tilde{\chi}_1^0 \to e^+e^-\nu$ and 25% $\tilde{\chi}_1^0 \to \mu^+\mu^-\nu$ decays.

Numbers of events satisfying each selection criterion in turn for the dilepton $\mu^+\mu^-$ channel, using the model listed in http://hepdata.cedar.ac.uk/view/ins1362183/d44. The ''Trigger'' line includes the event-level cosmic-muon veto and the requirements placed on the primary vertex, but not the offline filter selection. This is included in the ''Lepton reconstruction and DV match'' line, along with all other requirements placed on offline-reconstructed leptons. About 20,000 events of the full sample are analyzed, which contain an equal mixture of $\tilde{\chi}_1^0 \to e^{\pm}\mu^{\mp}\nu$ and $\tilde{\chi}_1^0 \to \mu^+\mu^-\nu$ decays.

Observed limits on the pair production cross section as a function of mass for vector-like B quarks. These limits assume branching ratios given by the model where the B quark exists as a singlet.

Observed limits on the pair production cross section as a function of mass for vector-like T quarks. These limits assume branching ratios given by the model where the T quark exists as a singlet.

Expected and observed cross section limits as a function of mass on T_5/3 pair production.

Expected and observed cross section limits as a function of mass on T_5/3 pair production plus single production for $\lambda = 0.5$.

Expected and observed cross section limits as a function of mass on T_5/3 pair production plus single production for $\lambda = 1.0$.

Expected and observed limits for the sgluon pair-production cross section times branching ratio to four top quarks as a function of the sgluon mass.

Expected and observed limits on the four- top-quark production rate for the 2UED/RPP model in the symmetric case. The theory line corresponds to the production of four-top-quark events by tier (1, 1) with a branching ratio of A^(1,1) to tttt of 100%.

mjj region 1600 - 2000 GeV. The observed systematic is the experimental uncertainty, while the SM prediction systematic is the theoretical uncertainty.

mjj region 2000 - 2600 GeV. The observed systematic is the experimental uncertainty, while the SM prediction systematic is the theoretical uncertainty.

mjj region 2600 - 3200 GeV. The observed systematic is the experimental uncertainty, while the SM prediction systematic is the theoretical uncertainty.

mjj region 3200 - 8000 GeV. The observed systematic is the experimental uncertainty, while the SM prediction systematic is the theoretical uncertainty.

Number of data events (20.3 fb$^{-1}$), number of predicted events from the fit, statistical uncertainty on the fit, systematic uncertainty on the choice of control region, and on the choice of fit function versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ lower bin edge for inclusive jet multiplicity $N_{\textrm{Jet}} \geq 6$. The total uncertainty is obtained by adding the three uncertainties linearly.

Number of data events (20.3 fb$^{-1}$), number of predicted events from the fit, statistical uncertainty on the fit, systematic uncertainty on the choice of control region, and on the choice of fit function versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ lower bin edge for inclusive jet multiplicity $N_{\textrm{Jet}} \geq 7$. The total uncertainty is obtained by adding the three uncertainties linearly.

Number of data events (20.3 fb$^{-1}$), number of predicted events from the fit, statistical uncertainty on the fit, systematic uncertainty on the choice of control region, and on the choice of fit function versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ lower bin edge for inclusive jet multiplicity $N_{\textrm{Jet}} \geq 8$. The total uncertainty is obtained by adding the three uncertainties linearly.

Upper limits on the visible cross section (cross section ($\sigma$) times acceptance ($A$) times efficiency ($\epsilon$)) at the 95% CL versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ for $N_{\textrm{Jet}}\geq 3$.

Upper limits on the visible cross section (cross section ($\sigma$) times acceptance ($A$) times efficiency ($\epsilon$)) at the 95% CL versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ for $N_{\textrm{Jet}}\geq 4$.

Upper limits on the visible cross section (cross section ($\sigma$) times acceptance ($A$) times efficiency ($\epsilon$)) at the 95% CL versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ for $N_{\textrm{Jet}}\geq 5$.

Upper limits on the visible cross section (cross section ($\sigma$) times acceptance ($A$) times efficiency ($\epsilon$)) at the 95% CL versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ for $N_{\textrm{Jet}}\geq 6$.

Upper limits on the visible cross section (cross section ($\sigma$) times acceptance ($A$) times efficiency ($\epsilon$)) at the 95% CL versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ for $N_{\textrm{Jet}}\geq 7$.

Upper limits on the visible cross section (cross section ($\sigma$) times acceptance ($A$) times efficiency ($\epsilon$)) at the 95% CL versus inclusive $H_{\textrm{T}}^{\textrm{min}}$ for $N_{\textrm{Jet}}\geq 8$.

Mean reconstruction efficiencies $(\epsilon)$ and RMS of the reconstruction efficiencies for various black hole and string ball models.

Observed and expected 95% CL upper limits on the cross section times branching fraction as a function of the resonance pole mass for the G$^*$. The LO theoretical cross section for the G$^*$ production is also shown.

Observed and expected 95% CL upper limits on the cross section times branching fraction as a function of the resonance pole mass for the EGM W'. The NNLO theoretical cross section for the EGM W' production is also shown.

The expected invariant mass distribution of signal Z'@0.75TeV and $\tilde{\nu}_{\tau}$@1TeV. The arbitrary choice of couplings are: $\lambda_{311}^{'}=0.11$ and $\lambda_{i3k}=0.07$ for $\tilde{\nu}_{\tau}$, $Q_{ll^{'}}=1$ for Z' .

Observed and predicted $\mu\tau$ invariant mass distributions.

The expected invariant mass distribution of signal Z'@0.75TeV and $\tilde{\nu}_{\tau}$@1TeV. The arbitrary choice of couplings are: $\lambda_{311}^{'}=0.11$ and $\lambda_{i3k}=0.07$ for $\tilde{\nu}_{\tau}$, $Q_{ll^{'}}=1$ for Z' .

Expected cross section times branching ratio as a function of $\tilde{\nu}_{\tau}$ mass in the $e\mu$ channel for the arbitrary choice of couplings $\lambda_{311}^{'}=0.11$ and $\lambda_{i3k}=0.07$.

The 95% CL limits on cross section times branching ratio as a function of $\tilde{\nu}_{\tau}$ mass in the $e\mu$ channel.

Expected cross section times branching ratio as a function of Z' mass in the $e\mu$ channel for the arbitrary choice of couplings $Q_{ll^{'}}=1$.

The 95% CL limits on cross section times branching ratio as a function of Z' mass in the $e\mu$ channel.

The 95% CL limits on cross section times branching ratio as a function of $\tilde{\nu}_{\tau}$ mass in the $e\tau$ channel.

The 95% CL limits on cross section times branching ratio as a function of Z' mass in the $e\tau$ channel.

The 95% CL limits on cross section times branching ratio as a function of $\tilde{\nu}_{\tau}$ mass in the $\mu\tau$ channel.

The 95% CL limits on cross section times branching ratio as a function of Z' mass in the $\mu\tau$ channel.

The 95% CL limits on lambda'_311 as a function of sneutrino mass for assumed value of lambda_i3k=0.07 for $e\mu$, $e\tau$ and $\mu\tau$ modes.

Estimated SM backgrounds and observed event yields for the validation and search region.

Cut flow for signal $\tilde{\nu}_{\tau}$ and Z' at 1TeV mass point.

Gaussian standard deviation of M(ll') distributions at various signal mass.

Inputs used for the Z'-->$e\mu$ channel limit setting.

Inputs used for the $\tilde{\nu}_{\tau}$-->$e\mu$ channel limit setting.

Inputs used for the Z'-->$e\tau$ channel limit setting.

Inputs used for the $\tilde{\nu}_{\tau}$ -->$e\tau$ channel limit setting.

Inputs used for the Z'-->$\mu\tau$ channel limit setting.

Inputs used for the $\tilde{\nu}_{\tau}$-->$\mu\tau$ channel limit setting.