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CMS-SUS-16-017 ; CERN-EP-2018-307
Inclusive search for supersymmetry in pp collisions at $\sqrt{s} = $ 13 TeV using razor variables and boosted object identification in zero and one lepton final states
JHEP 03 (2019) 031
Abstract: An inclusive search for supersymmetry (SUSY) using the razor variables is performed using a data sample of proton-proton collisions corresponding to an integrated luminosity of 35.9 fb$^{-1}$ , collected with the CMS experiment in 2016 at a center-of-mass energy of $\sqrt{s} = $ 13 TeV. The search looks for an excess of events with large transverse energy, large jet multiplicity, and large missing transverse momentum. The razor kinematic variables are sensitive to large mass differences between the parent particle and the invisible particles of a decay chain and help to identify the presence of SUSY particles. The search covers final states with zero or one charged lepton and features event categories divided according to the presence of a high transverse momentum hadronically decaying W boson or top quark, the number of jets, the number of b-tagged jets, and the values of the razor kinematic variables, in order to separate signal from background for a broad range of SUSY signatures. The addition of the Lorentz-boosted W boson and top quark categories within the analysis further increases the sensitivity of the search, particularly to signal models with large mass splitting between the produced gluino or squark and the lightest SUSY particle. The analysis is interpreted using simplified models of R-parity conserving SUSY, focusing on gluino pair production and top squark pair production. Limits on the gluino mass extend to 2.0 TeV, while limits on top squark mass reach 1.14 TeV.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Diagrams for the simplified models considered in this analysis: (left) pair-produced gluinos, each decaying to two top quarks and the LSP, denoted T1tttt; (middle) pair-produced gluinos, each decaying to a top quark and a low mass top squark that subsequently decays to a charm quark and the LSP, denoted T5ttcc; (right) pair-produced top squarks, each decaying to a top quark and the LSP, denoted T2tt. In the diagrams, the gluino is denoted by $ {\mathrm {\tilde{g}}} $, the top squark is denoted by $ {\tilde{\mathrm {t}}} $, and the lightest neutralino is denoted by $ {\tilde{\chi}^{0}_{1}} $ and is the LSP.

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Figure 1-a:
Example diagram for the T1tttt simplified model: pair-produced gluinos, each decaying to two top quarks and the LSP, denoted T1tttt. The gluino is denoted by $ {\mathrm {\tilde{g}}} $ and the lightest neutralino is denoted by $ {\tilde{\chi}^{0}_{1}} $ and is the LSP.

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Figure 1-b:
Example diagram for the T5ttcc simplified model: pair-produced gluinos, each decaying to a top quark and a low mass top squark that subsequently decays to a charm quark and the LSP, denoted T5ttcc. The gluino is denoted by $ {\mathrm {\tilde{g}}} $, the top squark is denoted by $ {\tilde{\mathrm {t}}} $, and the lightest neutralino is denoted by $ {\tilde{\chi}^{0}_{1}} $ and is the LSP.

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Figure 1-c:
Example diagram for the T2tt simplified model: pair-produced top squarks, each decaying to a top quark and the LSP, denoted T2tt. The top squark is denoted by $ {\tilde{\mathrm {t}}} $ and the lightest neutralino is denoted by $ {\tilde{\chi}^{0}_{1}} $ and is the LSP.

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Figure 2:
The $ {M_\mathrm {R}} $ distribution in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ dilepton CR (upper row) and of $ {p_{\mathrm {T}}} $ for leptons passing the veto criteria (lower row) are displayed in the 2-3 (left) and 4-6 (right) jet categories along with the corresponding MC predictions. The corrections derived from the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and W+jets CR have been applied. The ratio of data to the MC prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region.

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Figure 2-a:
The $ {M_\mathrm {R}} $ distribution in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ dilepton CR in the 2-3 jet category, along with the corresponding MC predictions. The corrections derived from the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and W+jets CR have been applied. The ratio of data to the MC prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region.

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Figure 2-b:
The $ {M_\mathrm {R}} $ distribution in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ dilepton CR in the 4-6 jet category, along with the corresponding MC predictions. The corrections derived from the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and W+jets CR have been applied. The ratio of data to the MC prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region.

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Figure 2-c:
The $ {p_{\mathrm {T}}} $ distribution for leptons passing the veto criteria in the 2-3 jet category, along with the corresponding MC predictions. The corrections derived from the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and W+jets CR have been applied. The ratio of data to the MC prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region.

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Figure 2-d:
The $ {p_{\mathrm {T}}} $ distribution for leptons passing the veto criteria in the 4-6 jet category, along with the corresponding MC predictions. The corrections derived from the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and W+jets CR have been applied. The ratio of data to the MC prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region.

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Figure 3:
The $ {M_\mathrm {R}} $ distribution in the $ {\mathrm {Z}}\to \ell \ell $+jets CR is displayed in the 2-3 (left) and 4-6 (right) jet categories along with the corresponding MC predictions. The corrections derived from the $ {\gamma}$+jets CR, as well as the overall normalization correction, have been applied in this figure.

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Figure 3-a:
The $ {M_\mathrm {R}} $ distribution in the $ {\mathrm {Z}}\to \ell \ell $+jets CR is displayed in the 2-3 jet category along with the corresponding MC predictions. The corrections derived from the $ {\gamma}$+jets CR, as well as the overall normalization correction, have been applied in this figure.

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Figure 3-b:
The $ {M_\mathrm {R}} $ distribution in the $ {\mathrm {Z}}\to \ell \ell $+jets CR is displayed in the 4-6 jet category along with the corresponding MC predictions. The corrections derived from the $ {\gamma}$+jets CR, as well as the overall normalization correction, have been applied in this figure.

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Figure 4:
The distribution of b-tagged jet multiplicity before applying the b tagging selection requirement in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ CR of the boosted W 6 jet category (left), and the distribution in $ {m_{\mathrm {T}}} $ before applying the $ {m_{\mathrm {T}}} $ selection requirement in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ CR of the boosted top category (right) are shown. The ratio of data over MC prediction is shown in the lower panels, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 4-a:
The distribution of b-tagged jet multiplicity before applying the b tagging selection requirement in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ CR of the boosted W 6 jet category. The ratio of data over MC prediction is shown in the lower panels, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 4-b:
The distribution in $ {m_{\mathrm {T}}} $ before applying the $ {m_{\mathrm {T}}} $ selection requirement in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ CR of the boosted top category. The ratio of data over MC prediction is shown in the lower panels, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 5:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions in the W+jets CRs of the boosted W 4-5 jet (upper left) and boosted W 6 jet (upper right) categories, and the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ CR (lower) of the boosted top category. The ratio of data over MC prediction is shown in the lower panels, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 5-a:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution in the boosted W 4-5 jet CR category. The ratio of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 5-b:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution in the boosted W 6 jet CR category. The ratio of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 5-c:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution in the $ {{\mathrm {t}\overline {\mathrm {t}}}} $ CR of the boosted top category. The ratio of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 6:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions for the $ {\gamma}$+jets CR of the boosted W 4-5 jet (left) and boosted top (right) category. The ratio of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 6-a:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions for the $ {\gamma}$+jets CR of the boosted W 4-5 jet category. The ratio of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 6-b:
$ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions for the $ {\gamma}$+jets CR of the boosted top category. The ratio of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 7:
Comparison of the estimate of the $\mathrm{Z}(\to \nu \nu)$+jets background contribution in the SR extrapolated from the $ {\gamma}$+jets CR with the estimate extrapolated from the $\mathrm{W}(\to \ell \nu)$+jets CR for the boosted W 4-5 jet (upper left), boosted W 6 jet (upper right) and boosted top (lower) categories in bins of $ {M_\mathrm {R}} $ and $ {\mathrm {R}^2} $. The prediction from the uncorrected MC simulation is also shown. The black labels indicate the range in $ {M_\mathrm {R}} $ that each set of bins correspond to.

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Figure 7-a:
Comparison of the estimate of the $\mathrm{Z}(\to \nu \nu)$+jets background contribution in the SR extrapolated from the $ {\gamma}$+jets CR with the estimate extrapolated from the $\mathrm{W}(\to \ell \nu)$+jets CR for the boosted W 4-5 jet category in bins of $ {M_\mathrm {R}} $ and $ {\mathrm {R}^2} $. The prediction from the uncorrected MC simulation is also shown. The black labels indicate the range in $ {M_\mathrm {R}} $ that each set of bins correspond to.

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Figure 7-b:
Comparison of the estimate of the $\mathrm{Z}(\to \nu \nu)$+jets background contribution in the SR extrapolated from the $ {\gamma}$+jets CR with the estimate extrapolated from the $\mathrm{W}(\to \ell \nu)$+jets CR for the boosted W 6 jet category in bins of $ {M_\mathrm {R}} $ and $ {\mathrm {R}^2} $. The prediction from the uncorrected MC simulation is also shown. The black labels indicate the range in $ {M_\mathrm {R}} $ that each set of bins correspond to.

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Figure 7-c:
Comparison of the estimate of the $\mathrm{Z}(\to \nu \nu)$+jets background contribution in the SR extrapolated from the $ {\gamma}$+jets CR with the estimate extrapolated from the $\mathrm{W}(\to \ell \nu)$+jets CR for the boosted top category in bins of $ {M_\mathrm {R}} $ and $ {\mathrm {R}^2} $. The prediction from the uncorrected MC simulation is also shown. The black labels indicate the range in $ {M_\mathrm {R}} $ that each set of bins correspond to.

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Figure 8:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions in the QCD multijet CRs of the boosted W 4-5 jet (upper left), boosted W 6 jet (upper right), and boosted top (lower) categories. The ratios of data over MC prediction is shown in the lower panels, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 8-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions in the QCD multijet CRs of the boosted W 4-5 jet category. The ratios of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 8-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions in the QCD multijet CRs of the boosted W 6 jet category. The ratios of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 8-c:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distributions in the QCD multijet CRs of the boosted top category. The ratios of data over MC prediction is shown in the lower panel, where the gray band is the total uncertainty and the dashed band is the statistical uncertainty in the MC prediction.

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Figure 9:
Comparisons between data and the predicted background for the inverted $ {\Delta \phi _\mathrm {R}} $ validation region for the boosted W 4-5 jet (upper left), boosted W 6 jet (upper right), and boosted top (lower) categories.

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Figure 9-a:
Comparisons between data and the predicted background for the inverted $ {\Delta \phi _\mathrm {R}} $ validation region for the boosted W 4-5 jet category.

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Figure 9-b:
Comparisons between data and the predicted background for the inverted $ {\Delta \phi _\mathrm {R}} $ validation region for the boosted W 6 jet category.

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Figure 9-c:
Comparisons between data and the predicted background for the inverted $ {\Delta \phi _\mathrm {R}} $ validation region for the boosted top category.

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Figure 10:
Comparisons between data and the predicted background for the validation region with antitagged W boson or top quark candidates for the boosted W 4-5 jet (upper left), boosted W 6 jet (upper right), and boosted top (lower) categories.

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Figure 10-a:
Comparisons between data and the predicted background for the validation region with antitagged W boson or top quark candidates for the boosted W 4-5 jet category.

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Figure 10-b:
Comparisons between data and the predicted background for the validation region with antitagged W boson or top quark candidates for the boosted W 6 jet category.

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Figure 10-c:
Comparisons between data and the predicted background for the validation region with antitagged W boson or top quark candidates for the boosted top category.

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Figure 11:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Multijet event category in the 0 b tag (upper) and 1 b tag (lower) bins. The two-dimensional $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution is shown in a one-dimensional representation, with each $ {M_\mathrm {R}} $ bin denoted by the dashed lines and labeled above, and each $ {\mathrm {R}^2} $ bin labeled below. The background labeled as "Other'' includes single top quark production, diboson production, associated production of a top quark pair and a W or Z boson, and triboson production. The ratio of data to the background prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region. Signal benchmarks shown are T5ttcc with $m_{{\mathrm {\tilde{g}}}} = $ 1.4 TeV, $m_{{\tilde{\mathrm {t}}}} = $ 320 GeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 300 GeV; T1tttt with $m_{{\mathrm {\tilde{g}}}} = $ 1.4 TeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 300 GeV; and T2tt with $m_{{\tilde{\mathrm {t}}}} = $ 850 GeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 100 GeV. The diagrams corresponding to these signal models are shown in Fig. 1.

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Figure 11-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Multijet event category in the 0 b tag bin. The two-dimensional $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution is shown in a one-dimensional representation, with each $ {M_\mathrm {R}} $ bin denoted by the dashed lines and labeled above, and each $ {\mathrm {R}^2} $ bin labeled below. The background labeled as "Other'' includes single top quark production, diboson production, associated production of a top quark pair and a W or Z boson, and triboson production. The ratio of data to the background prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region. Signal benchmarks shown are T5ttcc with $m_{{\mathrm {\tilde{g}}}} = $ 1.4 TeV, $m_{{\tilde{\mathrm {t}}}} = $ 320 GeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 300 GeV; T1tttt with $m_{{\mathrm {\tilde{g}}}} = $ 1.4 TeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 300 GeV; and T2tt with $m_{{\tilde{\mathrm {t}}}} = $ 850 GeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 100 GeV. The diagrams corresponding to these signal models are shown in Fig. 1.

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Figure 11-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Multijet event category in the 1 b tag bin. The two-dimensional $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution is shown in a one-dimensional representation, with each $ {M_\mathrm {R}} $ bin denoted by the dashed lines and labeled above, and each $ {\mathrm {R}^2} $ bin labeled below. The background labeled as "Other'' includes single top quark production, diboson production, associated production of a top quark pair and a W or Z boson, and triboson production. The ratio of data to the background prediction is shown on the bottom panel, with the statistical uncertainty expressed through the data point error bars and the systematic uncertainty in the background prediction represented by the shaded region. Signal benchmarks shown are T5ttcc with $m_{{\mathrm {\tilde{g}}}} = $ 1.4 TeV, $m_{{\tilde{\mathrm {t}}}} = $ 320 GeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 300 GeV; T1tttt with $m_{{\mathrm {\tilde{g}}}} = $ 1.4 TeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 300 GeV; and T2tt with $m_{{\tilde{\mathrm {t}}}} = $ 850 GeV and $m_{{\tilde{\chi}^{0}_{1}}} = $ 100 GeV. The diagrams corresponding to these signal models are shown in Fig. 1.

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Figure 12:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Multijet event category in the 2 b tag (upper) and 3 or more b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 12-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Multijet event category in the 2 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 12-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Multijet event category in the 3 or more b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 13:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Seven-jet event category in the 0 b tag (upper) and 1 b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 13-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Seven-jet event category in the 0 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 13-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Seven-jet event category in the 1 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 14:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Seven-jet event category in the 2 b tag (upper) and 3 or more b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 14-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Seven-jet event category in the 2 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 14-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Lepton Seven-jet event category in the 3 or more b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 15:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the boosted W 4-5 jet (upper left), boosted W 6 jet (upper right), and Top (lower) categories. Further details of the plots are explained in the caption of Fig. 11.

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Figure 15-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the boosted W 4-5 jet category. Further details of the plot are explained in the caption of Fig. 11.

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Figure 15-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the boosted W 6 jet category. Further details of the plot are explained in the caption of Fig. 11.

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Figure 15-c:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the boosted Top category. Further details of the plot are explained in the caption of Fig. 11.

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Figure 16:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Dijet event category in the 0 b tag (upper) and 1 b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 16-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Dijet event category in the 0 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 16-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Dijet event category in the 1 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 17:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Dijet event category in the 2 or more b tag bin. Further details of the plots are explained in the caption of Fig. 11.

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Figure 18:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Multijet event category in the 0 b tag (upper) and 1 b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 18-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Multijet event category in the 0 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 18-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Multijet event category in the 1 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 19:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Multijet event category in the 2 b tag (upper) and 3 or more b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 19-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Multijet event category in the 2 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 19-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Multijet event category in the 3 or more b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 20:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Seven-jet event category in the 0 b tag (upper) and 1 b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 20-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Seven-jet event category in the 0 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 20-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Seven-jet event category in the 1 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 21:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Seven-jet event category in the 2 b tag (upper) and 3 or more b tag (lower) bins. Further details of the plots are explained in the caption of Fig. 11.

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Figure 21-a:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Seven-jet event category in the 2 b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 21-b:
The $ {M_\mathrm {R}} $-$ {\mathrm {R}^2} $ distribution observed in data is shown along with the background prediction obtained for the Seven-jet event category in the 3 or more b tag bin. Further details of the plot are explained in the caption of Fig. 11.

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Figure 22:
Expected and observed 95% CL limits on the production cross section for pair-produced gluinos each decaying to the LSP and top quarks. The blue dashed contour represents the expected 95% CL upper limit using data in the nonboosted categories only.

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Figure 23:
Expected and observed 95% CL limits on the production cross section for pair-produced gluinos each decaying to a top quark and a low mass top squark that subsequently decays to a charm quark and the LSP. The mass splitting ($m_{{\tilde{\mathrm {t}}}}-m_{{\tilde{\chi}^{0}} _1}$) is fixed to be $20 GeV $. The blue dashed contour represents the expected 95% CL upper limit using data in the nonboosted categories only.

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Figure 24:
Expected and observed 95% CL limits on the production cross section for pair-produced squarks each decaying to a top quark and the LSP. The blue dashed contour represents the expected 95% CL upper limit using data in the nonboosted categories only. The white diagonal band corresponds to the region $ {{^\circ}limiter 69640972 m_{{\tilde{\mathrm {t}}}}-m_{{\mathrm {t}}}-m_{{\tilde{\chi}^{0}} _1} {^\circ}limiter 86418188} < $ 25 GeV, where the mass difference between the $ {\tilde{\mathrm {t}}} $ and the $ {\tilde{\chi}^{0}} _1$ is very close to the top quark mass. In this region the signal acceptance depends strongly on the $ {\tilde{\chi}^{0}} _1$ mass and is therefore difficult to model.
Tables

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Table 1:
Summary of the search categories, their charged lepton and jet count requirements, and the b tag bins that define the subcategories. Events passing the "Lepton veto'' requirement must have no electron or muon passing the veto selection, and no $ {{\tau} _\mathrm {h}} $ candidate.

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Table 2:
The baseline requirements on the razor variables $ {M_\mathrm {R}} $ and $ {\mathrm {R}^2} $, additional requirements on $ {m_{\mathrm {T}}} $ and $ {\Delta \phi _\mathrm {R}} $, and the trigger requirements are shown for each event category.

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Table 3:
Summary of the main instrumental and theoretical systematic uncertainties.

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Table 4:
Summary of systematic uncertainties from the background estimation methodology expressed as relative or fractional uncertainties.
Summary
We have presented an inclusive search for supersymmetry (SUSY) in events with no more than one lepton, a large multiplicity of energetic jets, and evidence of invisible particles using the razor kinematic variables. To enhance sensitivity to a broad range of signal models, the events are categorized according to the number of leptons, the presence of jets consistent with hadronically decaying W bosons or top quarks, and the number of jets and b-tagged jets. The analysis uses $\sqrt{s} = $ 13 TeV proton-proton collision data collected by the CMS experiment in 2016 and corresponding to an integrated luminosity of 35.9 fb$^{-1}$ . Standard model backgrounds were estimated using control regions in data and Monte Carlo simulation yields in signal and control regions. Background estimation procedures were verified using validation regions with kinematics resembling that of the signal regions and closure tests. Data are observed to be consistent with the standard model expectation.

The results were interpreted in the context of simplified models of pair-produced gluinos and direct top squark pair production. Limits on the gluino mass extend to 2.0 TeV, while limits on top squark masses reach 1.14 TeV. The combination of a large variety of final states enables this analysis to improve the sensitivity in various signal scenarios. The analysis extended the exclusion limit of the gluino mass from the CMS experiment by ${\approx}$100 GeV in decays to a low-mass top squark and a top quark, and the exclusion limit of the top squark mass by ${\approx}$20 GeV in direct top squark pair production.
References
1 C. Rogan Kinematical variables towards new dynamics at the LHC 1006.2727
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Compact Muon Solenoid
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