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CMS-SUS-16-040 ; CERN-EP-2017-312
Search for $R$-parity violating supersymmetry in pp collisions at $\sqrt{s} = $ 13 TeV using b jets in a final state with a single lepton, many jets, and high sum of large-radius jet masses
Phys. Lett. B 783 (2018) 114
Abstract: Results are reported from a search for physics beyond the standard model in proton-proton collisions at a center-of-mass energy of $\sqrt{s} = $ 13 TeV. The search uses a signature of a single lepton, large jet and bottom quark jet multiplicities, and high sum of large-radius jet masses, without any requirement on the missing transverse momentum in an event. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ recorded by the CMS experiment at the LHC. No significant excess beyond the prediction from standard model processes is observed. The results are interpreted in terms of upper limits on the production cross section for $R$-parity violating supersymmetric extensions of the standard model using a benchmark model of gluino pair production, in which each gluino decays promptly via $ {\mathrm{\widetilde{g}}} \rightarrow \mathrm{t} \mathrm{b} \mathrm{s} $. Gluinos with a mass below 1610 GeV are excluded at 95% confidence level.
Figures & Tables Summary Additional Tables References CMS Publications
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Figures

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Figure 1:
Example diagram for the simplified model used as the benchmark signal in this analysis.

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Figure 2:
Distributions of $ {M_{\textrm {J}}} $, normalized to the same area, for $ {\mathrm {t}\overline {\mathrm {t}}} $ events and signal events with two different gluino masses in a selection of $ {H_{\mathrm {T}}} > $ 1200 GeV, $ {N_{\textrm {lep}}} = $ 1, $ {N_{\textrm {jet}}} \geq $ 8, $ {M_{\textrm {J}}} > $ 500 GeV, and $ {N_{\textrm {b}}} \geq $ 1.

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Figure 3:
Jet multiplicity distribution for data and MC simulation in a {$ {\mathrm {Z}} $+jets} control sample selected by requiring $ {N_{\textrm {lep}}} = $ 2, $ {H_{\mathrm {T}}} > $ 1200 GeV, $ {M_{\textrm {J}}} > $ 500 GeV, $ {N_{\textrm {b}}} = $ 1, and 80 $ < {m_{\ell \ell}} < $ 100 GeV. The total yield from simulation is normalized to the number of events in data. The uncertainty in the ratio of data to simulation yields (lower panel) is statistical only.

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Figure 4:
Post-fit $\Delta R_{{{\mathrm {b}} {\overline {\mathrm {b}}}}}$ distributions in a selection with $ {N_{\textrm {lep}}} = 0$, $ {H_{\mathrm {T}}} > $ 1500 GeV, $ {N_{\textrm {b}}} = 2$, $ {N_{\textrm {jet}}} \geq 4$, and $ {M_{\textrm {J}}} > $ 500 GeV with the post-fit uncertainty represented by a hatched band. The ratio of data to simulation yields is shown in the lower panel.

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Figure 5:
Background (left) and $m_{\tilde{g}} = $ 1600 GeV signal (right) systematic uncertainties affecting the $ {N_{\textrm {b}}} $ shape (in percent) in the $ {N_{\textrm {jet}}} \geq 8$ and $ {M_{\textrm {J}}} \geq 1000 GeV $ bin. The uncertainties for other bins are similar.

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Figure 5-a:
Background (left) and $m_{\tilde{g}} = $ 1600 GeV signal (right) systematic uncertainties affecting the $ {N_{\textrm {b}}} $ shape (in percent) in the $ {N_{\textrm {jet}}} \geq 8$ and $ {M_{\textrm {J}}} \geq 1000 GeV $ bin. The uncertainties for other bins are similar.

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Figure 5-b:
Background (left) and $m_{\tilde{g}} = $ 1600 GeV signal (right) systematic uncertainties affecting the $ {N_{\textrm {b}}} $ shape (in percent) in the $ {N_{\textrm {jet}}} \geq 8$ and $ {M_{\textrm {J}}} \geq 1000 GeV $ bin. The uncertainties for other bins are similar.

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Figure 6:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with low expected signal contribution: 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-left), $ {M_{\textrm {J}}} > $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-right), 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 6-a:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with low expected signal contribution: 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-left), $ {M_{\textrm {J}}} > $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-right), 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 6-b:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with low expected signal contribution: 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-left), $ {M_{\textrm {J}}} > $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-right), 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 6-c:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with low expected signal contribution: 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-left), $ {M_{\textrm {J}}} > $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-right), 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 6-d:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with low expected signal contribution: 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-left), $ {M_{\textrm {J}}} > $ 800 GeV, 4 $ \leq {N_{\textrm {jet}}} \leq $ 5 (upper-right), 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and 500 $ < {M_{\textrm {J}}} \leq $ 800 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 7:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with large expected signal contribution: 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (upper-left), 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, $ {N_{\textrm {jet}}} \geq $ 8 (upper-right), $ {M_{\textrm {J}}} > $ 1000 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and $ {M_{\textrm {J}}} > $ 1000 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 7-a:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with large expected signal contribution: 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (upper-left), 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, $ {N_{\textrm {jet}}} \geq $ 8 (upper-right), $ {M_{\textrm {J}}} > $ 1000 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and $ {M_{\textrm {J}}} > $ 1000 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 7-b:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with large expected signal contribution: 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (upper-left), 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, $ {N_{\textrm {jet}}} \geq $ 8 (upper-right), $ {M_{\textrm {J}}} > $ 1000 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and $ {M_{\textrm {J}}} > $ 1000 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 7-c:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with large expected signal contribution: 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (upper-left), 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, $ {N_{\textrm {jet}}} \geq $ 8 (upper-right), $ {M_{\textrm {J}}} > $ 1000 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and $ {M_{\textrm {J}}} > $ 1000 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 7-d:
Data and the background-only post-fit $ {N_{\textrm {b}}} $ distribution for bins with large expected signal contribution: 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (upper-left), 800 $ < {M_{\textrm {J}}} \leq 1000 GeV $, $ {N_{\textrm {jet}}} \geq $ 8 (upper-right), $ {M_{\textrm {J}}} > $ 1000 GeV, 6 $ \leq {N_{\textrm {jet}}} \leq $ 7 (lower-left), and $ {M_{\textrm {J}}} > $ 1000 GeV, $ {N_{\textrm {jet}}} \geq $ 8 (lower-right). The expected signal distribution is also shown for a gluino mass of 1600 GeV. The ratio of data to post-fit yields is shown in the lower panel. The post-fit uncertainty is depicted as a hatched band.

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Figure 8:
Cross section upper limits at 95% CL for a model of gluino pair production with $ \tilde{g}\rightarrow {\mathrm {t}} {\mathrm {b}} {\mathrm {s}}$ compared to the gluino pair production cross section. The theoretical uncertainties in the cross section are shown as a band around the red line\nobreakspace {} [66]. The expected limits (dashed line) and their ${\pm} $1 s.d. and ${\pm} $2 s.d. variations are shown as green and yellow bands, respectively. The observed limit is shown by the solid line with dots.
Tables

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Table 1:
Post-fit yields for the background-only fit, observed data, and expected yields for $m_{\tilde{g}} = $ 1600 GeV in each search bin.
Summary
Results are presented from a search for new phenomena in events with a single lepton, large jet and bottom quark jet multiplicities, and high sum of large-radius jet masses, without a missing transverse momentum requirement. The background is predicted using a simultaneous fit in bins of the number of jets, number of b-tagged jets, and the sum of masses of large radius jets, using Monte Carlo simulated predictions with corrections measured in data control samples for the normalizations of the dominant backgrounds and nuisance parameters for theoretical and experimental uncertainties. Statistical uncertainties dominate in the signal regions, while the most important systematic uncertainties arise from the modeling of gluon splitting and the b quark tagging efficiency and mistag rate. The observed data are consistent with the background-only hypothesis. An upper limit of approximately 10 fb is determined for the gluino-gluino production cross section using a benchmark $R$-parity violating supersymmetry model of gluino pair production with a prompt three-body decay to tbs quarks, as predicted in minimal flavor violating models. For this model, gluinos are observed (expected) to be excluded up to 1610 (1640) GeV at a 95% confidence level, which improves upon previous searches at $\sqrt{s} = $ 8 TeV [26,27,28] and is comparable to recent results at 13 TeV [29].
Additional Tables

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Additional Table 1:
Cut flow table for backgrounds and the ${\mathrm{\tilde{g}}} \rightarrow \mathrm{t} \mathrm{ \bar{t} } \rightarrow \mathrm{t} \mathrm{b} \mathrm{s} $ model with $m_{{{\mathrm{\tilde{g}}}}} = $ 1600 GeV. Rows above the single horizontal line are part of the "baseline requirement''. The uncertainties due to MC sample size for "All bkg.'' are shown.
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