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CMS-SUS-15-008 ; CERN-EP-2016-119
Search for new physics in same-sign dilepton events in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Eur. Phys. J. C 76 (2016) 439
Abstract: A search for new physics is performed using events with two isolated same-sign leptons, two or more jets, and missing transverse momentum. The results are based on a sample of proton-proton collisions at a center-of-mass energy of 13 TeV recorded with the CMS detector at the LHC, corresponding to an integrated luminosity of 2.3 fb$^{-1}$. Multiple search regions are defined by classifying events in terms of missing transverse momentum, the scalar sum of jet transverse momenta, the transverse mass associated with a W boson candidate, the number of jets, the number of b quark jets, and the transverse momenta of the leptons in the event. The analysis is sensitive to a wide variety of possible signals beyond the standard model. No excess above the standard model background expectation is observed. Constraints are set on various supersymmetric models, with gluinos and bottom squarks excluded for masses up to 1300 and 680 GeV, respectively, at the 95% confidence level. Upper limits on the cross sections for the production of two top quark-antiquark pairs (119 fb) and two same-sign top quarks (1.7 pb) are also obtained. Selection efficiencies and model independent limits are provided to allow further interpretations of the results.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Figures

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Figure 1-a:
Diagram illustrating the T1tttt simplified SUSY model used in this analysis.

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Figure 1-b:
Diagram illustrating the T5ttbbWW simplified SUSY model used in this analysis.

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Figure 1-c:
Diagram illustrating the T5tttt simplified SUSY model used in this analysis.

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Figure 1-d:
Diagram illustrating the T5ttcc simplified SUSY model used in this analysis.

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Figure 1-e:
Diagram illustrating the T6ttWW simplified SUSY model used in this analysis.

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Figure 1-f:
Diagram illustrating the T5qqqqWW simplified SUSY model used in this analysis.

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Figure 2-a:
Distributions of the main analysis variables: $ {H_{\mathrm {T}}}$ (a), ${E_{\mathrm {T}}^{\text {miss}}}$ (b), ${M_\text {T}^{\text {min}}}$ (c), ${N_\text {jet}}$ (d), and ${N_\text {b}}$ (e), after a baseline selection requiring a pair of SS leptons, two jets, and either $ {E_{\mathrm {T}}^{\text {miss}}} > $ 30 GeV or $ {H_{\mathrm {T}}} > $ 500 GeV. The last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield to the background prediction.

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Figure 2-b:
Distributions of the main analysis variables: $ {H_{\mathrm {T}}}$ (a), ${E_{\mathrm {T}}^{\text {miss}}}$ (b), ${M_\text {T}^{\text {min}}}$ (c), ${N_\text {jet}}$ (d), and ${N_\text {b}}$ (e), after a baseline selection requiring a pair of SS leptons, two jets, and either $ {E_{\mathrm {T}}^{\text {miss}}} > $ 30 GeV or $ {H_{\mathrm {T}}} > $ 500 GeV. The last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield to the background prediction.

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Figure 2-c:
Distributions of the main analysis variables: $ {H_{\mathrm {T}}}$ (a), ${E_{\mathrm {T}}^{\text {miss}}}$ (b), ${M_\text {T}^{\text {min}}}$ (c), ${N_\text {jet}}$ (d), and ${N_\text {b}}$ (e), after a baseline selection requiring a pair of SS leptons, two jets, and either $ {E_{\mathrm {T}}^{\text {miss}}} > $ 30 GeV or $ {H_{\mathrm {T}}} > $ 500 GeV. The last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield to the background prediction.

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Figure 2-d:
Distributions of the main analysis variables: $ {H_{\mathrm {T}}}$ (a), ${E_{\mathrm {T}}^{\text {miss}}}$ (b), ${M_\text {T}^{\text {min}}}$ (c), ${N_\text {jet}}$ (d), and ${N_\text {b}}$ (e), after a baseline selection requiring a pair of SS leptons, two jets, and either $ {E_{\mathrm {T}}^{\text {miss}}} > $ 30 GeV or $ {H_{\mathrm {T}}} > $ 500 GeV. The last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield to the background prediction.

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Figure 2-e:
Distributions of the main analysis variables: $ {H_{\mathrm {T}}}$ (a), ${E_{\mathrm {T}}^{\text {miss}}}$ (b), ${M_\text {T}^{\text {min}}}$ (c), ${N_\text {jet}}$ (d), and ${N_\text {b}}$ (e), after a baseline selection requiring a pair of SS leptons, two jets, and either $ {E_{\mathrm {T}}^{\text {miss}}} > $ 30 GeV or $ {H_{\mathrm {T}}} > $ 500 GeV. The last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield to the background prediction.

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Figure 3-a:
Event yields in the HH (a), HL (b), and LL (c) SRs. The hatched area represents the total uncertainty in the background prediction.

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Figure 3-b:
Event yields in the HH (a), HL (b), and LL (c) SRs. The hatched area represents the total uncertainty in the background prediction.

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Figure 3-c:
Event yields in the HH (a), HL (b), and LL (c) SRs. The hatched area represents the total uncertainty in the background prediction.

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Figure 4-a:
Exclusion regions at the 95% CL in the $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ plane for the T1tttt (left) and T5ttbbWW (right) models, where for the T5ttbbWW model $m_{ {\tilde{\chi}^\pm _1} } = m_{ {\tilde{\chi}^0_1} }$ + 5 GeV. The right-hand side color scale indicates the excluded cross section values for a given point in the SUSY particle mass plane. The solid, black curves represent the observed exclusion limits assuming the NLO+NLL cross sections (thick line), or their variations of $\pm$1 standard deviation (thin lines). The dashed, red curves show the expected limits with the corresponding $\pm$1 standard deviation experimental uncertainties. Excluded regions are to the left and below the limit curves.

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Figure 4-b:
Exclusion regions at the 95% CL in the $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ plane for the T1tttt (left) and T5ttbbWW (right) models, where for the T5ttbbWW model $m_{ {\tilde{\chi}^\pm _1} } = m_{ {\tilde{\chi}^0_1} }$ + 5 GeV. The right-hand side color scale indicates the excluded cross section values for a given point in the SUSY particle mass plane. The solid, black curves represent the observed exclusion limits assuming the NLO+NLL cross sections (thick line), or their variations of $\pm$1 standard deviation (thin lines). The dashed, red curves show the expected limits with the corresponding $\pm$1 standard deviation experimental uncertainties. Excluded regions are to the left and below the limit curves.

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Figure 5-a:
Exclusion regions at the 95% CL in the plane of $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ for models with the gluino decaying to an on-shell top squark: T5tttt with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} } + m_{\rm t}$(top), T5tttt with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (bottom left), and T5ttcc with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (bottom right). For a description of the notation, see Fig. 4.

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Figure 5-b:
Exclusion regions at the 95% CL in the plane of $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ for models with the gluino decaying to an on-shell top squark: T5tttt with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} } + m_{\rm t}$(top), T5tttt with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (bottom left), and T5ttcc with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (bottom right). For a description of the notation, see Fig. 4.

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Figure 5-c:
Exclusion regions at the 95% CL in the plane of $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ for models with the gluino decaying to an on-shell top squark: T5tttt with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} } + m_{\rm t}$(top), T5tttt with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (bottom left), and T5ttcc with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (bottom right). For a description of the notation, see Fig. 4.

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Figure 6:
Exclusion regions at the 95% CL in the plane of $m_{ {\tilde{\chi}^\pm _1} }$ versus $m_{ \mathrm{ \tilde{b}_1 } }$ for the T6ttWW model with $m_{ {\tilde{\chi}^0_1} }= $ 50 GeV. For a description of the notation, see Fig. 4.

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Figure 7-a:
Exclusion regions at the 95% CL in the plane of $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ for the T5qqqqWW model with $m_{ {\tilde{\chi}^\pm _1} }= 0.5 (m_{ \mathrm{ \tilde{g} } } + m_{ {\tilde{\chi}^0_1} })$ (a) and with $m_{ {\tilde{\chi}^\pm _1} } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (b). For a description of the notation, see Fig. 4.

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Figure 7-b:
Exclusion regions at the 95% CL in the plane of $m_{ {\tilde{\chi}^0_1} }$ versus $m_{ \mathrm{ \tilde{g} } }$ for the T5qqqqWW model with $m_{ {\tilde{\chi}^\pm _1} }= 0.5 (m_{ \mathrm{ \tilde{g} } } + m_{ {\tilde{\chi}^0_1} })$ (a) and with $m_{ {\tilde{\chi}^\pm _1} } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV (b). For a description of the notation, see Fig. 4.

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Figure 8-a:
Limits on the product of cross section, detector acceptance, and selection efficiency, $\sigma \mathcal {A} \epsilon $, for the production of an SS dilepton pair as a function of ${E_{\mathrm {T}}^{\text {miss}}}$ in HH SR31(a) and of ${H_{\mathrm {T}}}$ in HH SR32 (b).

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Figure 8-b:
Limits on the product of cross section, detector acceptance, and selection efficiency, $\sigma \mathcal {A} \epsilon $, for the production of an SS dilepton pair as a function of ${E_{\mathrm {T}}^{\text {miss}}}$ in HH SR31(a) and of ${H_{\mathrm {T}}}$ in HH SR32 (b).
Tables

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Table 1:
Values of the isolation parameters used in Eq.(4).

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Table 2:
SR definitions for the HH selection. The notation $^{\rm (*)}$ indicates that, in order to avoid overlaps with SR31, an upper bound $ {E_{\mathrm {T}}^{\text {miss}}} < $ 300 GeV is used for regions with $ {H_{\mathrm {T}}} > $ 300 GeV.

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Table 3:
SR definitions for the HL selection. The notation $^{\rm (*)}$ indicates that, in order to avoid overlaps with SR25, an upper bound $ {E_{\mathrm {T}}^{\text {miss}}} < $ 300 GeV is used for regions with $ {H_{\mathrm {T}}} > $ 300 GeV.

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Table 4:
SR definitions for the LL selection. All SRs in this category require $ {N_\text {jet}} \geq$ 2.

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Table 5:
Summary of systematic uncertainties in the event yields in the SRs. The upper group lists uncertainties related to experimental factors for all processes whose yield is estimated from simulation; the middle group lists uncertainties in these yields related to the event simulation process itself. The lower group lists uncertainties for background processes whose yield is estimated from data.

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Table 6:
Expected number of background and observed events for the different SRs considered in this analysis.
Summary
The results of a search for new physics in same-sign dilepton events using the CMS detector at the LHC and based on a data sample of pp collisions at $ \sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 2.3 fb$^{-1}$, are presented. The data are analyzed in nonoverlapping signal regions defined with different selections on lepton and event kinematic variables, as well as jet and b quark jet multiplicities.

No significant deviation from the standard model expectations is observed. The results are used to set limits on the production of supersymmetric particles in various simplified models. Gluino and bottom squark masses are excluded at the 95% confidence level up to 1300 and 680 GeV, respectively. These results extend the limits obtained in the previous version of the analysis [23] by about 250 GeV on the gluino mass, and 150 GeV on the bottom squark mass. In addition, 95% confidence level upper limits of 119 fb and 1.7 pb are set on the cross sections for the production of two top quark-antiquark pairs and for the production of two SS top quarks, respectively. Model independent limits and selection efficiencies are provided to allow further interpretations of the results, using alternative models to those examined here.
Additional Figures

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Additional Figure 1:
Event yields in HH search regions. The hatched bars represent the total uncertainty in the background prediction.

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Additional Figure 2:
Event yields in HL search regions. The hatched bars represent the total uncertainty in the background prediction.

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Additional Figure 3:
Event yields in LL search regions. The hatched bars represent the total uncertainty in the background prediction.

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Additional Figure 4:
Distribution of the leading lepton ${p_{\mathrm {T}}}$ after the baseline selection, where the last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield and the background prediction.

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Additional Figure 5:
Distribution of the subleading lepton ${p_{\mathrm {T}}}$ after the baseline selection, where the last bin includes the overflow. The hatched area represents the total uncertainty in the background prediction. The upper panels show the ratio of the observed event yield and the background prediction.

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Additional Figure 6:
Relative population in the three lepton kinematic regions (HH in black, HL in red, and LL in green) for the ${\mathrm{ t \bar{t} } }$ process. The fraction of events in each region is reported in the legend.

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Additional Figure 7:
Relative population in the three lepton kinematic regions (HH in black, HL in red, and LL in green) for the ${ {\mathrm{ t \bar{t} } } \mathrm{ W } }$ process. The fraction of events in each region is reported in the legend.

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Additional Figure 8:
Event yields in the HH search regions for SM backgrounds.

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Additional Figure 9:
Event yields in the HH search regions for a few SUSY signal models.

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Additional Figure 10:
Number of jets distribution in the ${\mathrm{ W } \mathrm{ Z } }$ control region, defined requiring at least two jets, no b jets, ${E_{\mathrm {T}}^{\text {miss}}} >$ 30 GeV, and three leptons, where two of the leptons form a same-flavor, opposite-sign pair with an invariant mass within 15 GeV of the Z boson mass.

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Additional Figure 11:
${E_{\mathrm {T}}^{\text {miss}}}$ distribution in the ${\mathrm{ W } \mathrm{ Z } }$ control region, defined requiring at least two jets, no b jets, ${E_{\mathrm {T}}^{\text {miss}}} > $ 30 GeV, and three leptons, where two of the leptons form a same-flavor, opposite-sign pair with an invariant mass within 15 GeV of the Z boson mass.

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Additional Figure 12:
Comparison of observed and predicted events in the ${\mathrm{ Z } } \to {\rm e^{\pm }e^{\pm }}$ control region as a function of the di-electron mass. The prediction is obtained from ${\mathrm{ Z } } \to {\rm e^{+}e^{-}}$ events reweighted by the charge misidentification probability.

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Additional Figure 13:
Comparison of observed and predicted events in the ${\mathrm{ Z } } \to {\rm e^{\pm }e^{\pm }}$ control region as a function of the electron ${p_{\mathrm {T}}}$ . The prediction is obtained from ${\mathrm{ Z } } \to {\rm e^{+}e^{-}}$ events reweighted by the charge misidentification probability.

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Additional Figure 14:
Probability for a nonprompt muon that satisfies the loose selection to also satisfy the tight selection ($\epsilon _{\rm TL}$). The measurement is performed in a multijet-enriched data set from single-lepton triggered events with no isolation requirement at the HLT. The hatched area represents the systematic uncertainty due to the subtraction of the contribution from prompt leptons.

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Additional Figure 15:
Probability for a nonprompt electron that satisfies the loose selection to also satisfy the tight selection ($\epsilon _{\rm TL}$). The measurement is performed in a multijet-enriched data set from single-lepton triggered events with no isolation requirement at the HLT. The hatched area represents the systematic uncertainty due to the subtraction of the contribution from prompt leptons.

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Additional Figure 16:
Closure test of the nonprompt muon background prediction in simulation in HH search regions. The yellow histogram corresponds to the yield of simulated $ {\mathrm{ t \bar{t} } } $ events in the search regions, while the dots represent the prediction from the ``tight-to-loose'' ratio method applied to simulated $ {\mathrm{ t \bar{t} } } $ events, using $\epsilon _{\rm TL}$ values estimated on simulated multijet events. The hatched area represents the statistical uncertainty in the number of observed simulated events.

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Additional Figure 17:
Closure test of the nonprompt electron background prediction in simulation in HH search regions. The yellow histogram corresponds to the yield of simulated $ {\mathrm{ t \bar{t} } } $ events in the search regions, while the dots represent the prediction from the ``tight-to-loose'' ratio method applied to simulated $ {\mathrm{ t \bar{t} } } $ events, using $\epsilon _{\rm TL}$ values estimated on simulated multijet events. The hatched area represents the statistical uncertainty in the number of observed simulated events.

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Additional Figure 18:
Measurement of $\epsilon _{\rm TL}$ for the alternative nonprompt lepton background prediction method in $ {\mathrm{ t \bar{t} } } $ simulated events after the baseline selection. Plots compare $\epsilon _{\rm TL}$ for muons passing and failing the impact parameter requirement.

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Additional Figure 19:
Measurement of $\epsilon _{\rm TL}$ for the alternative nonprompt lepton background prediction method in $ {\mathrm{ t \bar{t} } } $ simulated events after the baseline selection. Plots compare $\epsilon _{\rm TL}$ for electrons passing and failing the impact parameter requirement.

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Additional Figure 20:
Distributions of the b quark ${p_{\mathrm {T}}}$ for nonprompt muons from b hadron decays. Comparison for muons passing the loose vs muons passing the tight selection in multijet events.

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Additional Figure 21:
Distributions of the b quark ${p_{\mathrm {T}}}$ for nonprompt muons from b hadron decays. Comparison for muons passing the loose selection in multijet vs ${\mathrm{ t \bar{t} } }$ events.
Additional Tables

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Additional Table 1:
Cut flow table for the T1tttt model assuming gluino and LSP masses equal to 1300 and 100 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.046 pb.

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Additional Table 2:
Cut flow table for the T1tttt model assuming gluino and LSP masses equal to 1100 and 800 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.16 pb.

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Additional Table 3:
Cut flow table for the T5ttbbWW model assuming gluino and LSP masses equal to 1300 and 100 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.046 pb.

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Additional Table 4:
Cut flow table for the T5ttbbWW model assuming gluino and LSP masses equal to 1000 and 700 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.33 pb.

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Additional Table 5:
Cut flow table for the T5tttt model with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} } + m_{\rm t}$, assuming gluino and LSP masses equal to 1300 and 100 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.046 pb.

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Additional Table 6:
Cut flow table for the T5tttt model with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} } + m_{\rm t}$, assuming gluino and LSP masses equal to 1100 and 800 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.16 pb.

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Additional Table 7:
Cut flow table for the T5tttt model with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV , assuming gluino and LSP masses equal to 1100 and 100 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.16 pb.

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Additional Table 8:
Cut flow table for the T5tttt model with $m_{ \mathrm{ \tilde{t}_1 } } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV , assuming gluino and LSP masses equal to 850 and 700 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 1.0 pb.

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Additional Table 9:
Cut flow table for the T5ttcc model assuming gluino and LSP masses equal to 1100 and 100 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.16 pb.

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Additional Table 10:
Cut flow table for the T5ttcc model assuming gluino and LSP masses equal to 850 and 700 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 1.0 pb.

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Additional Table 11:
Cut flow table for the T6ttWW model assuming bottom squark and chargino masses equal to 650 and 300 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.11 pb.

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Additional Table 12:
Cut flow table for the T6ttWW model assuming bottom squark and chargino masses equal to 550 and 500 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.30 pb.

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Additional Table 13:
Cut flow table for the T5qqqqWW model with $m_{ {\tilde{\chi}^\pm _1} }=0.5(m_{ \mathrm{ \tilde{g} } } + m_{ {\tilde{\chi}^0_1} })$, assuming gluino and LSP masses equal to 1100 and 100 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.16 pb.

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Additional Table 14:
Cut flow table for the T5qqqqWW model with $m_{ {\tilde{\chi}^\pm _1} }=0.5(m_{ \mathrm{ \tilde{g} } } + m_{ {\tilde{\chi}^0_1} })$, assuming gluino and LSP masses equal to 900 and 700 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.68 pb.

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Additional Table 15:
Cut flow table for the T5qqqqWW model with $m_{ {\tilde{\chi}^\pm _1} } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV , assuming gluino and LSP masses equal to 1000 and 50 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 0.33 pb.

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Additional Table 16:
Cut flow table for the T5qqqqWW model with $m_{ {\tilde{\chi}^\pm _1} } = m_{ {\tilde{\chi}^0_1} }$ + 20 GeV , assuming gluino and LSP masses equal to 600 and 450 GeV, respectively. The last two lines correspond to the most populated search regions. The predicted cross section for this model is 9.2 pb.
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