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| CMS-SUS-14-007 ; CERN-PH-EP-2016-008 | ||
| Search for supersymmetry in pp collisions at $\sqrt{s}=$ 8 TeV in final states with boosted W bosons and b jets using razor variables | ||
| CMS Collaboration | ||
| 9 February 2016 | ||
| Phys. Rev. D 93 (2016) 092009 | ||
| Abstract: A search for supersymmetry in hadronic final states with highly boosted W bosons and b jets is presented, focusing on compressed scenarios. The search is performed using proton-proton collision data at a center-of-mass energy of 8 TeV, collected by the CMS experiment at the LHC, corresponding to an integrated luminosity of 19.7 fb$^{-1}$. Events containing candidates for hadronic decays of boosted W bosons are identified using jet substructure techniques, and are analyzed using the razor variables $M_\mathrm{R}$ and $R^2$, which characterize a possible signal as a peak on a smoothly falling background. The observed event yields in the signal regions are found to be consistent with the expected contributions from standard model processes, which are predicted using control samples in the data. The results are interpreted in terms of gluino-pair production followed by their exclusive decay into top squarks and top quarks. The analysis excludes gluino masses up to 1.1 TeV for light top squarks decaying solely to a charm quark and a neutralino, and up to 700 GeV for heavier top squarks decaying solely to a top quark and a neutralino. | ||
| Links: e-print arXiv:1602.02917 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1-a:
Diagram for the T1ttcc simplified model spectrum. Here, an asterisk ($^*$) denotes an antiparticle of a supersymmetric partner. |
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Figure 1-b:
Diagram for the T1t1t simplified model spectrum. Here, an asterisk ($^*$) denotes an antiparticle of a supersymmetric partner. |
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Figure 2-a:
Distributions in the ($ {M_R} $,$R^2$) space of the overall SM backgrounds and a T1ttcc signal with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, both obtained from simulation. A very loose selection is used: a good primary vertex and at least three jets, one of which is required to have $ {p_{\mathrm {T}}} > $ 200 GeV. |
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Figure 2-b:
Distributions in the ($ {M_R} $,$R^2$) space of the overall SM backgrounds and a T1ttcc signal with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, both obtained from simulation. A very loose selection is used: a good primary vertex and at least three jets, one of which is required to have $ {p_{\mathrm {T}}} > $ 200 GeV. |
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Figure 3-a:
(a) The trigger efficiency, obtained from data, as a function of $ {H_{\mathrm {T}}} $ and leading jet $ {p_{\mathrm {T}}} $ after the baseline selection discussed in Section IV. (b) The trigger efficiency as a function of $ {M_R} $ and $R^2$ after the same baseline selection, obtained by applying the trigger efficiency as a function of $ {H_{\mathrm {T}}} $ and leading jet $ {p_{\mathrm {T}}} $ to the simulated background. |
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Figure 3-b:
(a) The trigger efficiency, obtained from data, as a function of $ {H_{\mathrm {T}}} $ and leading jet $ {p_{\mathrm {T}}} $ after the baseline selection discussed in Section IV. (b) The trigger efficiency as a function of $ {M_R} $ and $R^2$ after the same baseline selection, obtained by applying the trigger efficiency as a function of $ {H_{\mathrm {T}}} $ and leading jet $ {p_{\mathrm {T}}} $ to the simulated background. |
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Figure 4-a:
Simulated $ {M_R} $ (a) and $R^2$ (b) distributions in the signal region, $S$. Stacked on top of the background distributions is the predicted signal contribution from an example T1ttcc model, with parameters $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV. The bin entries are normalized proportionally to the bin width. |
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Figure 4-b:
Simulated $ {M_R} $ (a) and $R^2$ (b) distributions in the signal region, $S$. Stacked on top of the background distributions is the predicted signal contribution from an example T1ttcc model, with parameters $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV. The bin entries are normalized proportionally to the bin width. |
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Figure 5-a:
Distributions of $m_\mathrm {T}$ for data and simulated backgrounds, in the $T$ (a) and $W$ (b) control regions, without applying any selection on $m_\mathrm {T}$ and $\Delta \phi _\text {min}$. The contribution from an example signal corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, is stacked on top of the background processes. Only statistical uncertainties are shown. |
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Figure 5-b:
Distributions of $m_\mathrm {T}$ for data and simulated backgrounds, in the $T$ (a) and $W$ (b) control regions, without applying any selection on $m_\mathrm {T}$ and $\Delta \phi _\text {min}$. The contribution from an example signal corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, is stacked on top of the background processes. Only statistical uncertainties are shown. |
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Figure 6:
Distributions of $\Delta \phi _\text {min}$ for data and simulated backgrounds in the $Q$ region without applying a selection on $\Delta \phi _\text {min}$. Only statistical uncertainties are shown. Signal contamination in this control region is negligible. |
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Figure 7-a:
One-dimensional projection of $ {M_R} $ (a) and $R^2$ (b) for the cross-check predicting the $\Delta \phi _\text {min}$ sideband region $S'$. The estimates for the three different background processes are stacked on top of each other. The uncertainties shown are statistical only. The horizontal error bars indicate the bin width. |
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Figure 7-b:
One-dimensional projection of $ {M_R} $ (a) and $R^2$ (b) for the cross-check predicting the $\Delta \phi _\text {min}$ sideband region $S'$. The estimates for the three different background processes are stacked on top of each other. The uncertainties shown are statistical only. The horizontal error bars indicate the bin width. |
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Figure 8-a:
One-dimensional projection of $ {M_R} $ (a) and $R^2$ (right panelb) for the cross-check predicting the background in region $Q'$ defined by $\Delta \phi _\text {min} > $ 0.5. The uncertainties shown are statistical only. The horizontal error bars indicate the bin width. |
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Figure 8-b:
One-dimensional projection of $ {M_R} $ (a) and $R^2$ (right panelb) for the cross-check predicting the background in region $Q'$ defined by $\Delta \phi _\text {min} > $ 0.5. The uncertainties shown are statistical only. The horizontal error bars indicate the bin width. |
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Figure 9:
Graphical representation of the analysis method. The circles represent the signal ($S$) and control ($Q,T,W$) regions, with their definition summarized in the associated boxes. Listed inside each circle are the likelihood parameters relevant to that region: the bin-by-bin background parameters $b^\text {region}_\text {process}$ for the given region and background process, as well as the global scale factors $\kappa ^{A/B}_\text {process} = \sum_i b^A_{{\rm process, MC,} i} / \sum_i b^B_{{\rm process, MC,} i}$, where the sum is over all bins of the simulated data. A connection between two regions indicates that one or more parameters are shared. The total expected background, per the $( {M_R},R^2)$ bin, is the sum of the terms shown for each region. Furthermore, associated with each bin of each region is an observed count, $N^\text {region}$, a simulated count, $N^\text {region}_{\text {process}, \mathrm {MC}}$, and a count $N^\text {region}_{\text {other}, \mathrm {MC}}$ equal to the sum of the smaller backgrounds, $\mathrm{ Z } / \gamma^* \rightarrow \ell \bar{\ell }+$jets, diboson, triboson, and $\mathrm{ t \bar{t} } \mathrm{V}$, with an associated parameter in the likelihood $b^\text {region}_\text {other}$. |
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Figure 10-a:
Background predictions and observations. The results are shown in bins of $ {M_R} $ for each $R^2$ bin. The hatched band represents the total uncertainty in the background prediction. Overlaid are two signal distributions corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, and the T1t1t model with $m_{\tilde{ \mathrm{ g } } } = $ 800 GeV, $m_{\tilde{ mathrm{ t } } } = $ 275 GeV, and $m_{\tilde{\chi}^0_1 } = $ 100 GeV. |
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Figure 10-b:
Background predictions and observations. The results are shown in bins of $ {M_R} $ for each $R^2$ bin. The hatched band represents the total uncertainty in the background prediction. Overlaid are two signal distributions corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, and the T1t1t model with $m_{\tilde{ \mathrm{ g } } } = $ 800 GeV, $m_{\tilde{ mathrm{ t } } } = $ 275 GeV, and $m_{\tilde{\chi}^0_1 } = $ 100 GeV. |
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Figure 10-c:
Background predictions and observations. The results are shown in bins of $ {M_R} $ for each $R^2$ bin. The hatched band represents the total uncertainty in the background prediction. Overlaid are two signal distributions corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, and the T1t1t model with $m_{\tilde{ \mathrm{ g } } } = $ 800 GeV, $m_{\tilde{ mathrm{ t } } } = $ 275 GeV, and $m_{\tilde{\chi}^0_1 } = $ 100 GeV. |
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Figure 10-d:
Background predictions and observations. The results are shown in bins of $ {M_R} $ for each $R^2$ bin. The hatched band represents the total uncertainty in the background prediction. Overlaid are two signal distributions corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, and the T1t1t model with $m_{\tilde{ \mathrm{ g } } } = $ 800 GeV, $m_{\tilde{ mathrm{ t } } } = $ 275 GeV, and $m_{\tilde{\chi}^0_1 } = $ 100 GeV. |
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Figure 10-e:
Background predictions and observations. The results are shown in bins of $ {M_R} $ for each $R^2$ bin. The hatched band represents the total uncertainty in the background prediction. Overlaid are two signal distributions corresponding to the T1ttcc model with $m_{\tilde{ \mathrm{ g } } } = $ 1 TeV, $m_{\tilde{ mathrm{ t } } } = $ 325 GeV, and $m_{\tilde{\chi}^0_1 } = $ 300 GeV, and the T1t1t model with $m_{\tilde{ \mathrm{ g } } } = $ 800 GeV, $m_{\tilde{ mathrm{ t } } } = $ 275 GeV, and $m_{\tilde{\chi}^0_1 } = $ 100 GeV. |
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Figure 11-a:
Signal efficiency for the T1ttcc and T1t1t simplified model spectra, as a function of the gluino and neutralino masses. Three mass splittings between top squark and LSP are considered for the T1ttcc model: 10, 25, and 80 GeV, shown on a, b, and c panels, respectively. The efficiency for the T1t1t model with a mass splitting of 175 GeV is shown on the d panel. |
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Figure 11-b:
Signal efficiency for the T1ttcc and T1t1t simplified model spectra, as a function of the gluino and neutralino masses. Three mass splittings between top squark and LSP are considered for the T1ttcc model: 10, 25, and 80 GeV, shown on a, b, and c panels, respectively. The efficiency for the T1t1t model with a mass splitting of 175 GeV is shown on the d panel. |
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Figure 11-c:
Signal efficiency for the T1ttcc and T1t1t simplified model spectra, as a function of the gluino and neutralino masses. Three mass splittings between top squark and LSP are considered for the T1ttcc model: 10, 25, and 80 GeV, shown on a, b, and c panels, respectively. The efficiency for the T1t1t model with a mass splitting of 175 GeV is shown on the d panel. |
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Figure 11-d:
Signal efficiency for the T1ttcc and T1t1t simplified model spectra, as a function of the gluino and neutralino masses. Three mass splittings between top squark and LSP are considered for the T1ttcc model: 10, 25, and 80 GeV, shown on a, b, and c panels, respectively. The efficiency for the T1t1t model with a mass splitting of 175 GeV is shown on the d panel. |
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Figure 12-a:
Observed upper limit (CLs method, 95% CL ) on the signal cross section as a function of the gluino and neutralino masses for the T1ttcc model with $\Delta m=10,$ 25, and 80 GeV (a, b and c panels) and for the T1t1t model with $\Delta m = $ 175 GeV (d). Also shown are the contours corresponding to the observed and expected lower limits, including their uncertainties, on the gluino and neutralino masses. |
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Figure 12-b:
Observed upper limit (CLs method, 95% CL ) on the signal cross section as a function of the gluino and neutralino masses for the T1ttcc model with $\Delta m=10,$ 25, and 80 GeV (a, b and c panels) and for the T1t1t model with $\Delta m = $ 175 GeV (d). Also shown are the contours corresponding to the observed and expected lower limits, including their uncertainties, on the gluino and neutralino masses. |
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Figure 12-c:
Observed upper limit (CLs method, 95% CL ) on the signal cross section as a function of the gluino and neutralino masses for the T1ttcc model with $\Delta m=10,$ 25, and 80 GeV (a, b and c panels) and for the T1t1t model with $\Delta m = $ 175 GeV (d). Also shown are the contours corresponding to the observed and expected lower limits, including their uncertainties, on the gluino and neutralino masses. |
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Figure 12-d:
Observed upper limit (CLs method, 95% CL ) on the signal cross section as a function of the gluino and neutralino masses for the T1ttcc model with $\Delta m=10,$ 25, and 80 GeV (a, b and c panels) and for the T1t1t model with $\Delta m = $ 175 GeV (d). Also shown are the contours corresponding to the observed and expected lower limits, including their uncertainties, on the gluino and neutralino masses. |
| Tables | |
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Table 1:
Summary of the selections used, in addition to the baseline selection, to define the signal region ($S$), the three control regions ($Q$, $T$, $W$), and the two regions ($S'$, $Q'$) used for the cross-checks described later in the text. |
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Table 2:
Event yields in simulated event samples and in data as event selection requirements are applied. The simulated event counts are normalized to an integrated luminosity of 19.7 fb$^{-1}$. ``Other'' refers to the sum of the small background components $\mathrm{ Z } /\gamma^* \rightarrow \ell \bar{\ell}+$jets, triboson, and $\mathrm{ t \bar{t} } \mathrm{V}$. The signal is the T1ttcc model with $m_{\tilde{ \mathrm{ g } } }= $ 1000 GeV, $m_{\tilde{ mathrm{ t } } _1}= $ 325 GeV, $m_{\tilde{\chi}^0_1 }= $ 300 GeV. The row corresponding to ``$n_\mathrm {PV} > $ 0 '' gives the event counts after applying the noise filters, pileup reweighting, top ${p_{\mathrm {T}}}$ reweighting for $\mathrm{ t \bar{t} } $, ISR reweighting for the signal, and the requirement of at least one primary vertex. The column listing the total number of background events also includes some processes that only contribute at the early stages of the event selection. The cross sections used for each sample are listed in the second line of the header. Several of the simulated background samples were produced with generator-level selections applied, which are not fully covered by the first selection levels listed in this table. |
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Table 3:
Background composition according to simulation after the baseline, $S$, $Q$, $T$, $W$, $Q'$ and $S'$ region selections. ``Other'' refers to the sum of the small background components $\mathrm{ Z } /\gamma^* \rightarrow \ell \bar{\ell}$, triboson, and $\mathrm{ t \bar{t} } \mathrm{V}$. |
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Table 4:
Summary of $\pm$1 standard deviation systematic uncertainties for the average signal efficiency over all mass assumptions in the T1ttcc model ($\Delta m= $ 25 GeV), and for the total background count in the signal region, unless indicated otherwise, as determined from simulation. |
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Table 5:
Event yields for the predicted backgrounds and for the data in each of the signal bins in $R^2$ and $ {M_R} $. The uncertainties in the predictions are the combined statistical and systematic uncertainties obtained using the sampling procedure described in the text. |
| Summary |
| We have presented a search for new physics in hadronic final states with at least one boosted W boson and a b-tagged jet using data binned at high values of the razor kinematic variables, $M_\mathrm{R}$ and $R^2$. The analysis uses 19.7 fb$^{-1}$ of 8 TeV proton-proton collision data collected by the CMS experiment. The SM backgrounds are estimated using control regions in data. Scale factors, derived from simulations, connect these control regions to the signal region. The observations are found to be consistent with the SM expectation, as shown in Fig. 10 and Table 5. The results, which are encapsulated in a binned likelihood, are interpreted in terms of supersymmetric models describing pair production of heavy gluinos decaying to boosted top quarks. Limits are set on the gluino and neutralino masses using the CLs criterion on the gluino-neutralino mass plane, as shown in Fig. 12. Assuming that the gluino always decays into a top squark and a top quark, this analysis excludes gluino masses up to 1.1 TeV for top squarks with a mass of up to about 450 GeV that decay exclusively to a charm quark and a neutralino. In this scenario, the mass difference considered between the top squark and the neutralino is less than 80 GeV. This analysis also excludes gluino masses of up to 700 GeV when the top squark decays solely to a top quark and a neutralino, and the mass difference between the top squark and the neutralino is around the top quark mass. |
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