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CMS-EXO-19-001 ; CERN-EP-2019-113
Search for long-lived particles using nonprompt jets and missing transverse momentum with proton-proton collisions at $\sqrt{s} = $ 13 TeV
Phys. Lett. B 797 (2019) 134876
Abstract: A search for long-lived particles decaying to displaced, nonprompt jets and missing transverse momentum is presented. The data sample corresponds to an integrated luminosity of 137 fb$^{-1}$ of proton-proton collisions at a center-of-mass energy of 13 TeV collected by the CMS experiment at the CERN LHC in 2016-2018. Candidate signal events containing nonprompt jets are identified using the timing capabilities of the CMS electromagnetic calorimeter. The results of the search are consistent with the background prediction and are interpreted using a gauge-mediated supersymmetry breaking reference model with a gluino next-to-lightest supersymmetric particle. In this model, gluino masses up to 2100, 2500, and 1900 GeV are excluded at 95% confidence level for proper decay lengths of 0.3, 1, and 100 m, respectively. These are the best limits to date for such massive gluinos with proper decay lengths greater than $\sim$ 0.5 m.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1:
Diagram showing the GMSB signal model (left figure), and diagram of a typical event (right figure), expected to pass the signal region selection. The event has delayed energy depositions in the calorimeters but no tracks from a primary vertex.

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Figure 1-a:
Diagram showing the GMSB signal model

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Figure 1-b:
Diagram of a typical event (right figure), expected to pass the signal region selection. The event has delayed energy depositions in the calorimeters but no tracks from a primary vertex.

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Figure 2:
The timing distribution of the background sources predicted to contribute to the signal region, compared to those for a representative signal model. The time is defined by the jet in the event with the largest ${t_{\textrm {jet}}}$ passing the relevant selection. The distributions for the major background sources are taken from control regions and normalized to the predictions detailed in Section 6. The observed data is shown by the black points. No events are observed in data for $ {t_{\textrm {jet}}} > $ 3 ns (indicated with a vertical black line).

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Figure 3:
The product, ${\mathcal {A}\varepsilon}$, of the acceptance and efficiency in the ${c\tau _{0}}$ vs. ${m_{{\mathrm{\tilde{g}}}}}$ plane for the GMSB model, after all requirements.

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Figure 4:
The observed upper limits at 95% CL for the gluino pair production cross section in the GMSB model, shown in the plane of ${m_{{\mathrm{\tilde{g}}}}}$ 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.

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Figure 5:
The observed and expected upper limits at 95% CL on the gluino pair production cross section for a gluino GMSB model with $ {m_{{\mathrm{\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 [24].
Tables

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Table 1:
Summary of the requirements used to define the signal region.

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Table 2:
Summary of the estimated number of background events.

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Table 3:
The derived uncertainty in the product, ${\mathcal {A}\varepsilon}$, of the acceptance and efficiency from the modeling of the variables discussed in Section 5.1.2, for a representative model with $ {m_{{\mathrm{\tilde{g}}}}} = $ 2400 GeV.
Summary
An inclusive search for long-lived particles has been presented, based on a data sample of proton-proton collisions collected at $\sqrt{s} = $ 13 TeV by the CMS experiment, corresponding to an integrated luminosity of 137 fb$^{-1}$. The search uses the timing of energy deposits in the electromagnetic calorimeter to select delayed jets from the decays of heavy long-lived particles, with residual background contributions estimated using measurements in control regions in the data. The results are interpreted using the gluino gauge-mediated supersymmetry breaking signal model and gluino masses up to 2100, 2500, and 1900 GeV are excluded at 95% confidence level for proper decay lengths of 0.3, 1, and 100 m, respectively. The reach for models that predict significant missing transverse momentum in the final state is significantly extended beyond all previous searches, for proper decay lengths greater than $\sim$0.5 m.
Additional Figures

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Additional Figure 1:
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, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets satisfying signal region requirements (except those on ${E_{\textrm {ECAL}}}$ and ${N^{\textrm {cell}}_{\textrm {ECAL}}}$).

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Additional Figure 1-a:
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, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets satisfying signal region requirements (except those on ${E_{\textrm {ECAL}}}$ and ${N^{\textrm {cell}}_{\textrm {ECAL}}}$).

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Additional Figure 1-b:
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, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets satisfying signal region requirements (except those on ${E_{\textrm {ECAL}}}$ and ${N^{\textrm {cell}}_{\textrm {ECAL}}}$).

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Additional Figure 1-c:
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, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets satisfying signal region requirements (except those on ${E_{\textrm {ECAL}}}$ and ${N^{\textrm {cell}}_{\textrm {ECAL}}}$).

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Additional Figure 2:
The distribution (normalized to unity) of $ {\textrm {HEF}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {\textrm {HEF}} $).

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Additional Figure 2-a:
The distribution (normalized to unity) of $ {\textrm {HEF}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {\textrm {HEF}} $).

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Additional Figure 2-b:
The distribution (normalized to unity) of $ {\textrm {HEF}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {\textrm {HEF}} $).

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Additional Figure 2-c:
The distribution (normalized to unity) of $ {\textrm {HEF}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {\textrm {HEF}} $).

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Additional Figure 3:
The distribution (normalized to unity) of $ {E_{\textrm {HCAL}}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {E_{\textrm {HCAL}}} $).

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Additional Figure 3-a:
The distribution (normalized to unity) of $ {E_{\textrm {HCAL}}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {E_{\textrm {HCAL}}} $).

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Additional Figure 3-b:
The distribution (normalized to unity) of $ {E_{\textrm {HCAL}}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {E_{\textrm {HCAL}}} $).

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Additional Figure 3-c:
The distribution (normalized to unity) of $ {E_{\textrm {HCAL}}} $ for a data sample enriched in beam halo and noise jets (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4) and for signal jets passing signal region selections (except on $ {E_{\textrm {HCAL}}} $).

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Additional Figure 4:
The distribution (normalized to unity) of ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 4-a:
The distribution (normalized to unity) of ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 4-b:
The distribution (normalized to unity) of ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 4-c:
The distribution (normalized to unity) of ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 5:
The distribution (normalized to unity) of ${t^{\textrm {RMS}}_\textrm {jet}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 5-a:
The distribution (normalized to unity) of ${t^{\textrm {RMS}}_\textrm {jet}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 5-b:
The distribution (normalized to unity) of ${t^{\textrm {RMS}}_\textrm {jet}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 5-c:
The distribution (normalized to unity) of ${t^{\textrm {RMS}}_\textrm {jet}}$ for data sample enriched in jets from noise (satisfying $|\eta | < $ 1.48, $ {p_{\mathrm {T}}} > $ 30 GeV, $ {PV_{\rm track}^{\rm fraction}} > $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {t_{\textrm {jet}}} < -$3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8) and for signal jets passing signal region selections (except on ${{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}}$ and ${t^{\textrm {RMS}}_\textrm {jet}}$).

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Additional Figure 6:
The distribution (normalized to unity) of ${PV_{\rm track}^{\rm fraction}}$ for a data sample enriched in main bunch backgrounds (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $| {t_{\textrm {jet}}} | < $ 3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${PV_{\rm track}^{\rm fraction}}$).

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Additional Figure 6-a:
The distribution (normalized to unity) of ${PV_{\rm track}^{\rm fraction}}$ for a data sample enriched in main bunch backgrounds (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $| {t_{\textrm {jet}}} | < $ 3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${PV_{\rm track}^{\rm fraction}}$).

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Additional Figure 6-b:
The distribution (normalized to unity) of ${PV_{\rm track}^{\rm fraction}}$ for a data sample enriched in main bunch backgrounds (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $| {t_{\textrm {jet}}} | < $ 3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${PV_{\rm track}^{\rm fraction}}$).

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Additional Figure 6-c:
The distribution (normalized to unity) of ${PV_{\rm track}^{\rm fraction}}$ for a data sample enriched in main bunch backgrounds (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $| {t_{\textrm {jet}}} | < $ 3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${PV_{\rm track}^{\rm fraction}}$).

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Additional Figure 7:
The distribution (normalized to unity) of ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$ for a data sample enriched in beam halo (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} < $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} < -$3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$).

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Additional Figure 7-a:
The distribution (normalized to unity) of ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$ for a data sample enriched in beam halo (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} < $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} < -$3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$).

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Additional Figure 7-b:
The distribution (normalized to unity) of ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$ for a data sample enriched in beam halo (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} < $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} < -$3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$).

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Additional Figure 7-c:
The distribution (normalized to unity) of ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$ for a data sample enriched in beam halo (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} < $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} < -$3 ns and $ {E_{\textrm {ECAL}}} > $ 20 GeV) and for signal jets passing signal selections (except on ${E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}}$).

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Additional Figure 8:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{DT})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{DT})}$).

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Additional Figure 8-a:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{DT})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{DT})}$).

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Additional Figure 8-b:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{DT})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{DT})}$).

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Additional Figure 8-c:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{DT})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{DT})}$).

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Additional Figure 9:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{RPC})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{RPC})}$).

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Additional Figure 9-a:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{RPC})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{RPC})}$).

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Additional Figure 9-b:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{RPC})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{RPC})}$).

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Additional Figure 9-c:
The distribution (normalized to unity) of ${\textrm {max}(\Delta \phi _{RPC})}$ for a data sample enriched in cosmic muons (satisfying $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} < $ 0.8, $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12, $ {\textrm {HEF}} > $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t_{\textrm {jet}}} > $ 3 ns, $ {E_{\textrm {ECAL}}} > $ 20 GeV and failing the HCAL noise rejection quality filters) and for signal jets passing signal selections (except on ${\textrm {max}(\Delta \phi _{RPC})}$).

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Additional Figure 10:
The $\eta $ dependence of the jet time for jets passing beam halo selection and with $| {t_{\textrm {jet}}} | > $ 2 ns. The black lines show the expected time distribution from the path difference for beam halo from the main bunch. Additional deposits, including those at positive times, come from beam halo associated with satellite and following or previous main bunches.

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Additional Figure 11:
The distribution of ${PV_{\rm track}^{\rm fraction}}$ for a data sample enriched in beam halo (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {\textrm {HEF}} < $ 0.2, $ {{t^{\textrm {RMS}}_\textrm {jet}} / {t_{\textrm {jet}}}} < $ 0.4, $ {t^{\textrm {RMS}}_\textrm {jet}} < $ 2.5 and $ {t_{\textrm {jet}}} < -$3 ns).

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Additional Figure 12:
The distribution of ${t^{\textrm {RMS}}_\textrm {jet}}$ for a data sample enriched in beam halo (satisfying $ {p_{\mathrm {T}}} > $ 30 GeV, $|\eta | < $ 1.48, $ {\textrm {HEF}} < $ 0.2, $ {PV_{\rm track}^{\rm fraction}} < $ 1/12 and $ {t_{\textrm {jet}}} < -$3 ns).

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Additional Figure 13:
Distribution of ${t_{\textrm {jet}}}$ 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_{\mathrm {T}}} ^\text {miss}} > 300$. The jets are required to pass an inverted selection of $ {PV_{\rm track}^{\rm fraction}} > $ 1/12 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.

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Additional Figure 13-a:
Distribution of ${t_{\textrm {jet}}}$ for jets with the full Run 2 dataset with no cleaning selection applied in events satisfying the trigger requirements and satisfying $ {{p_{\mathrm {T}}} ^\text {miss}} > 300$. The jets are required to pass an inverted selection of $ {PV_{\rm track}^{\rm fraction}} > $ 1/12 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.

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Additional Figure 13-b:
Distribution of ${t_{\textrm {jet}}}$ for jets with the full Run 2 dataset after all jet cleaning selections are applied in events satisfying the trigger requirements and satisfying $ {{p_{\mathrm {T}}} ^\text {miss}} > 300$. The jets are required to pass an inverted selection of $ {PV_{\rm track}^{\rm fraction}} > $ 1/12 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.

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Additional Figure 14:
Distribution of ${t_{\textrm {jet}}}$ for jets with the full Run 2 dataset in events satisfying the trigger requirements and satisfying $ {{p_{\mathrm {T}}} ^\text {miss}} < 300$. The jets are required to pass an inverted selection of $ {PV_{\rm track}^{\rm fraction}} > $ 1/12 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.

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Additional Figure 15:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (black background).

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Additional Figure 15-a:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (black background).

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Additional Figure 15-b:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (black background).

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Additional Figure 15-c:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (black background).

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Additional Figure 16:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (white background).

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Additional Figure 16-a:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (white background).

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Additional Figure 16-b:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (white background).

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Additional Figure 16-c:
Event display for a beam muon candidate event which satisfies all signal selections except for $ {\textrm {HEF}} $ and $ {E^{\textrm {CSC}}_\textrm {ECAL}/E_{\textrm {ECAL}}} $ (white background).

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Additional Figure 17:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (black background).

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Additional Figure 17-a:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (black background).

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Additional Figure 17-b:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (black background).

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Additional Figure 17-c:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (black background).

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Additional Figure 18:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (white background).

png pdf
Additional Figure 18-a:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (white background).

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Additional Figure 18-b:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (white background).

png pdf
Additional Figure 18-c:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{DT})} $ (white background).

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Additional Figure 19:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (black background).

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Additional Figure 19-a:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (black background).

png pdf
Additional Figure 19-b:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (black background).

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Additional Figure 19-c:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (black background).

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Additional Figure 20:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (white background).

png pdf
Additional Figure 20-a:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (white background).

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Additional Figure 20-b:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (white background).

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Additional Figure 20-c:
Event display for a cosmic muon candidate which satisfies all signal selections except for $ {\textrm {max}(\Delta \phi _{RPC})} $ (white background).

png pdf
Additional Figure 21:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (black background).

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Additional Figure 21-a:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (black background).

png pdf
Additional Figure 21-b:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (black background).

png pdf
Additional Figure 21-c:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (black background).

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Additional Figure 22:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (white background).

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Additional Figure 22-a:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (white background).

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Additional Figure 22-b:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (white background).

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Additional Figure 22-c:
Event display for a satellite bunch candidate which satisfies all signal selections except for $ {PV_{\rm track}^{\rm fraction}} $ (white background).

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Additional Figure 23:
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 (a) and 3000 GeV (b). The dominant contribution is shown to be the gluino $\beta $.

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Additional Figure 23-a:
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. The dominant contribution is shown to be the gluino $\beta $.

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Additional Figure 23-b:
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 3000 GeV. The dominant contribution is shown to be the gluino $\beta $.

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Additional Figure 24:
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.

png pdf
Additional Figure 25:
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.

png pdf
Additional Figure 26:
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.

png pdf
Additional Figure 27:
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.

png pdf
Additional Figure 28:
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.

png pdf
Additional Figure 29:
The expected plus 1 $\sigma _{\mathrm {experiment}}$ upper limits at 95% CL for the gluino pair production cross section relative 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.

png pdf
Additional Figure 30:
The expected minus 1 $\sigma _{\mathrm {experiment}}$ upper limits at 95% CL for the gluino pair production cross section relative 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.
Additional Tables

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Additional Table 1:
Selection efficiencies for the GMSB model with gluino mass 1000 GeV

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Additional Table 2:
Selection efficiencies for the GMSB model with gluino mass 2400 GeV

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Additional Table 3:
Selection efficiencies for the GMSB model with gluino mass 3000 GeV
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Compact Muon Solenoid
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