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CMS-PAS-SUS-16-044
Search for the pair production of Higgsinos in pp collisions at $\sqrt{s} = $ 13 TeV in final states with Higgs bosons and large missing transverse momentum
Abstract: Results are reported from a search for new physics in proton-proton collisions leading to an experimental signature with two Higgs bosons and large missing momentum in the direction transverse to the beam axis. This signature can arise in the context of supersymmetry, where a broad class of models predicts the electroweak production of a pair of Higgsinos, each of which can decay via a cascade process to a final state with a Higgs boson and the lightest supersymmetric particle (LSP). The LSPs remain undetected, producing the large missing transverse momentum characteristic for these events. The search uses a 35.9 fb$^{-1}$ sample of proton-proton collision data at $\sqrt{s} = $ 13 TeV, accumulated by the CMS experiment at the LHC. The observed event yield in the signal region is found to be consistent with the expected standard model background predicted from control regions in the data. Higgsinos with mass in the range 225-770 GeV are excluded at 95% CL using a simplified model framework for the production and decay of approximately degenerate Higgsinos in the context of gauge mediated supersymmetry breaking.
Figures & Tables Summary Additional Figures & Tables References CMS Publications
Additional information on efficiencies needed for reinterpretation of these results are available here.
Additional technical material for CMS speakers can be found here.
Figures

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Figure 1:
Diagram for the gauge-mediated-symmetry-breaking signal model, $ {\tilde{\chi }^0_1} {\tilde{\chi }^0_1} \to \mathrm{h} \mathrm{h} \tilde{G}\tilde{G}$ (TChiHH), where $\tilde{G}$ is a Goldstino. The NLSPs $\chi _1^0$ are not directly pair produced, but are instead produced in the cascade decays of several different combinations of neutralinos and charginos, as described in the text.

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Figure 2:
Distributions of ${ {p_{\mathrm {T}}} ^\text {miss}} $, ${\Delta m} $, <$m$>, and $ {\Delta R_{\rm max}} $ for data and simulated background samples, as well as signal benchmark points for three values of the Higgsino mass. All plots include baseline requirements, and the $ {\Delta m} $, <$m$>, and $ {\Delta R_{\rm max}} $ distributions also include the 4b selection. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 2-a:
Distribution of ${ {p_{\mathrm {T}}} ^\text {miss}} $ for data and simulated background samples, as well as signal benchmark points for three values of the Higgsino mass. The plot includes baseline requirements. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 2-b:
Distribution of ${\Delta m} $ for data and simulated background samples, as well as signal benchmark points for three values of the Higgsino mass. The plot includes baseline requirements. The distribution also includes the 4b selection. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 2-c:
Distribution of <$m$> for data and simulated background samples, as well as signal benchmark points for three values of the Higgsino mass. The plot includes baseline requirements. The distribution also includes the 4b selection. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 2-d:
Distributions of $ {\Delta R_{\rm max}} $ for data and simulated background samples, as well as signal benchmark points for three values of the Higgsino mass. The plot includes baseline requirements. The distribution also includes the 4b selection. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 3:
Comparison of the <$m$> shape from simulated background samples among the three b-tag categories after baseline selection. Note that QCD is not included due to the poor statistics of the simulation.

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Figure 4:
Values of the double-ratios $\kappa _{3\text {b}}$ and $\kappa _{4\text {b}}$ obtained from the background simulation for each of the ${ {p_{\mathrm {T}}} ^\text {miss}}$ bins.

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Figure 5:
Comparison of the distribution of <$m$> in data and simulation in the single-lepton control sample (left) and the dilepton control sample (right) integrated in ${ {p_{\mathrm {T}}} ^\text {miss}} $. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 5-a:
Comparison of the distribution of <$m$> in data and simulation in the single-lepton control sample integrated in ${ {p_{\mathrm {T}}} ^\text {miss}} $. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 5-b:
Comparison of the distribution of <$m$> in data and simulation in the dilepton control sample integrated in ${ {p_{\mathrm {T}}} ^\text {miss}} $. The simulation is normalized to the data yields. The gray shading indicates the statistical uncertainty on the total simulated background.

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Figure 6:
Comparison of the ${\kappa }$ values found in the single-lepton control sample, for data and simulated events, for the 2b-3b and 2b-4b ABCD planes in each ${ {p_{\mathrm {T}}} ^\text {miss}}$ bin.

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Figure 7:
Comparison of the ${\kappa }$ values found in the dilepton control sample, data and simulation, for the 1b/0b ABCD planes in bins of ${p_T(\ell \ell )} $.

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Figure 8:
Distributions of <$m$> in data and two signal benchmark models. The points with error bars show the data in the 3b (top) and 4b bins (bottom) for 150 $ < { {p_{\mathrm {T}}} ^\text {miss}} \leq $ 200 GeV (left) and $ { {p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV (right). The histograms show the shape of the <$m$> distribution observed in the 2b bin with an overall event yield normalized to those observed in the 3b and 4b samples. The shaded areas reflect the statistical uncertainty on the <$m$>distribution in the 2b data. The ratio plots demonstrate that the shapes are in agreement.

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Figure 8-a:
Distributions of <$m$> in data and two signal benchmark models. The points with error bars show the data in the 3b bin for 150 $ < { {p_{\mathrm {T}}} ^\text {miss}} \leq $ 200 GeV. The histogram shows the shape of the <$m$> distribution observed in the 2b bin with an overall event yield normalized to those observed in the 3b sample. The shaded areas reflect the statistical uncertainty on the <$m$> distribution in the 2b data. The ratio plot demonstrates that the shapes are in agreement.

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Figure 8-b:
Distributions of <$m$> in data and two signal benchmark models. The points with error bars show the data in the 3b bin for $ { {p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV. The histogram shows the shape of the <$m$> distribution observed in the 2b bin with an overall event yield normalized to those observed in the 3b sample. The shaded areas reflect the statistical uncertainty on the <$m$> distribution in the 2b data. The ratio plot demonstrates that the shapes are in agreement.

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Figure 8-c:
Distributions of <$m$> in data and two signal benchmark models. The points with error bars show the data in the 4b bin for 150 $ < { {p_{\mathrm {T}}} ^\text {miss}} \leq $ 200 GeV. The histogram shows the shape of the <$m$> distribution observed in the 2b bin with an overall event yield normalized to those observed in the 4b sample. The shaded areas reflect the statistical uncertainty on the <$m$> distribution in the 2b data. The ratio plot demonstrates that the shapes are in agreement.

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Figure 8-d:
Distributions of <$m$> in data and two signal benchmark models. The points with error bars show the data in the 4b bin for $ { {p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV. The histogram shows the shape of the <$m$> distribution observed in the 2b bin with an overall event yield normalized to those observed in the 4b sample. The shaded areas reflect the statistical uncertainty on the <$m$> distribution in the 2b data. The ratio plot demonstrates that the shapes are in agreement.

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Figure 9:
Top: excluded cross section times the $ \mathrm{hh} \rightarrow {\mathrm{ b \bar{b} } } {\mathrm{ b \bar{b} } } $ branching fraction at 95% CL as a function of the Higgsino mass. The theoretical cross section is shown as a dotted line. Bottom: excluded cross section at 95% CL divided by the theoretical cross section as a function of the Higgsino mass.

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Figure 9-a:
Excluded cross section times the $ \mathrm{hh} \rightarrow {\mathrm{ b \bar{b} } } {\mathrm{ b \bar{b} } } $ branching fraction at 95% CL as a function of the Higgsino mass. The theoretical cross section is shown as a dotted line.

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Figure 9-b:
Excluded cross section at 95% CL divided by the theoretical cross section as a function of the Higgsino mass.
Tables

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Table 1:
Event yields obtained from simulated event samples scaled to 35.9 fb$^{-1}$, as the event selection criteria are applied. The category "${\mathrm{ t } {}\mathrm{ \bar{t} } } +X$'' is dominated by ${\mathrm{ t } {}\mathrm{ \bar{t} } }$ (98.5%), but also includes small contributions from ${\mathrm{ t } {}\mathrm{ \bar{t} } } {\mathrm{ t } {}\mathrm{ \bar{t} } } $, ${\mathrm{ t } {}\mathrm{ \bar{t} } } \mathrm{ W } $, ${\mathrm{ t } {}\mathrm{ \bar{t} } } \mathrm{ Z } $, ${\mathrm{ t } {}\mathrm{ \bar{t} } } \mathrm{ H } $, and ${\mathrm{ t } {}\mathrm{ \bar{t} } } \gamma $. The category "V+jets'' includes Z+jets and W+jets in all their decays. The category "Other'' includes ZZ, WZ, WW, WH ($\rightarrow {\mathrm{ b \bar{b} } } $), and ZH ($\rightarrow {\mathrm{ b \bar{b} } } $). The event selection requirements listed above the horizontal line in the middle of the table are defined as the baseline selection. The trigger efficiency is applied as an event weight and is first taken into account in the $ { {p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV row.

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Table 2:
Observed event yields ("Obs.'') for all control and signal regions in each of the four ${ {p_{\mathrm {T}}} ^\text {miss}}$ bins corresponding to 35.9 fb$^{-1}$of data. The predicted SM background rates ("Pred.'') in the (HIG,3b) and (HIG,4b) regions correspond to the values obtained with the predictive fit. The results of the global fit under the background-only hypothesis ($r=$ 0) are also shown. The expected signal yields for three values of the Higgsino mass are shown for reference.

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Table 3:
Range of values for the systematic uncertainties on the signal efficiency and acceptance for each analysis bin. Uncertainties due to a particular source are treated as fully correlated between bins, while uncertainties due to different sources are treated as uncorrelated.
Summary
We have performed a search for an excess of events in proton-proton collisions in the channel with two Higgs bosons and large missing transverse momentum, with each of the Higgs bosons reconstructed in its $\mathrm{h} \to\mathrm{b} \bar{\mathrm{b} } $ decay. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$ at $\sqrt s = $ 13 TeV. Because the signal is rich in b quarks, while the background is dominated by $\mathrm{ t \bar{t} }$ events, the analysis is binned in the number of b-tagged quarks. In each event, the mass difference between the two Higgs-boson candidates is required to be small, and the average mass of the two candidates is used in conjunction with the number of observed b tags to define signal and sideband regions. The observed event yields in these regions are used to obtain estimates for the SM background in the signal regions without input from simulated event samples. The data are also binned in regions of $|\vec{p}_{\mathrm{T}}^{\text miss}|$ to enhance the sensitivity to the signal. The observed event yields in the signal regions are consistent with the background predictions, leading to an excluded range of Higgsino masses extending from 225 GeV to 770 GeV at 95% CL. The model used in the interpretation assumes that each Higgsino decays into a Higgs boson plus a nearly massless lightest supersymmetric particle (LSP), which is weakly interacting. Such a scenario occurs in Gauge Mediated Supersymmetry Breaking (GMSB) models, in which the LSP is a Goldstino. The cross section calculation assumes that the Higgsino sector is mass degenerate and sums over the cross sections for the pair production of all relevant combinations of Higgsinos.
Additional Figures

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Additional Figure 1:
(a) Correlation and (b) covariance matrices for the background rates obtained with the predictive fit in the 8 signal bins. ``MET1'' corresponds to 150 $ < p_{\rm T}^{\rm miss} \leq $ 200 GeV, ``MET2'' to 200 $ < p_{\rm T}^{\rm miss} \leq $ 300 GeV, ``MET3'' to 300 $ < p_{\rm T}^{\rm miss} \leq $ 450 GeV, and ``MET4'' to $p_{\rm T}^{\rm miss} > $ 450 GeV.

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Additional Figure 1-a:
Correlation matrix for the background rates obtained with the predictive fit in the 8 signal bins. ``MET1'' corresponds to 150 $ < p_{\rm T}^{\rm miss} \leq $ 200 GeV, ``MET2'' to 200 $ < p_{\rm T}^{\rm miss} \leq $ 300 GeV, ``MET3'' to 300 $ < p_{\rm T}^{\rm miss} \leq $ 450 GeV, and ``MET4'' to $p_{\rm T}^{\rm miss} > $ 450 GeV.

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Additional Figure 1-b:
Covariance matrix for the background rates obtained with the predictive fit in the 8 signal bins. ``MET1'' corresponds to 150 $ < p_{\rm T}^{\rm miss} \leq $ 200 GeV, ``MET2'' to 200 $ < p_{\rm T}^{\rm miss} \leq $ 300 GeV, ``MET3'' to 300 $ < p_{\rm T}^{\rm miss} \leq $ 450 GeV, and ``MET4'' to $p_{\rm T}^{\rm miss} > $ 450 GeV.

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Additional Figure 2:
(a) Correlation and (b) covariance matrices for the background rates obtained with the global fit in all 24 analysis bins. ``MET1'' corresponds to 150 $ < p_{\rm T}^{\rm miss} \leq $ 200 GeV, ``MET2'' to 200 $ < p_{\rm T}^{\rm miss} \leq $ 300 GeV, ``MET3'' to 300 $ < p_{\rm T}^{\rm miss} \leq $ 450 GeV, and ``MET4'' to $p_{\rm T}^{\rm miss} > $ 450 GeV.

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Additional Figure 2-a:
Correlation matrix for the background rates obtained with the global fit in all 24 analysis bins. ``MET1'' corresponds to 150 $ < p_{\rm T}^{\rm miss} \leq $ 200 GeV, ``MET2'' to 200 $ < p_{\rm T}^{\rm miss} \leq $ 300 GeV, ``MET3'' to 300 $ < p_{\rm T}^{\rm miss} \leq $ 450 GeV, and ``MET4'' to $p_{\rm T}^{\rm miss} > $ 450 GeV.

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Additional Figure 2-b:
Covariance matrix for the background rates obtained with the global fit in all 24 analysis bins. ``MET1'' corresponds to 150 $ < p_{\rm T}^{\rm miss} \leq $ 200 GeV, ``MET2'' to 200 $ < p_{\rm T}^{\rm miss} \leq $ 300 GeV, ``MET3'' to 300 $ < p_{\rm T}^{\rm miss} \leq $ 450 GeV, and ``MET4'' to $p_{\rm T}^{\rm miss} > $ 450 GeV.

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Additional Figure 3:
A posteriori expected discovery significance for the TChiHH model as a function of the Higgsino mass.

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Additional Figure 4:
Observed signal significance for the TChiHH model as a function of the Higgsino mass.

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Additional Figure 5:
Efficiency for the logical OR of the various $p_{\rm T}^{\rm miss}$ triggers used in the analysis as a function of $p_{\rm T}^{\rm miss}$ and $H_{\rm T}$.

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Additional Figure 6:
Efficiency to reconstruct all b-quarks from the two Higgs boson decays as individual jets, given that all four of the b-quarks are within acceptance, $p_T> $ 30 GeV and $|\eta | < $ 2.4. The efficiency is calculated based on the TChiHH model with all Higgsino masses included.

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Additional Figure 7:
Efficiency to pass the mass cut requirement, 100 $ < $ <$m$> $ < $ 140 GeV, given that all b-quarks from the di-Higgs system are reconstructed as individual jets. The efficiency is calculated based on the TChiHH model with all Higgsino masses included.
Additional Tables

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Additional Table 1:
Total background and signal yields in simulation for selections based on the CSVv2 b-tagging discriminator. To be compared to the equivalent table based on the DeepCSV discriminator used in the analysis.

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Additional Table 2:
Total background and signal yields in simulation for selections based on the DeepCSV b-tagging discriminator. The background is dominated by events with 2 true b quarks, while the signal has 4 b quarks. Compared to CSVv2, the high b-tagging efficiency of the DeepCSV algorithm extends the a-posteriori expected exclusion limit by approximately 150 GeV in the Higgsino mass, corresponding to a cross-section that is 3 times smaller. This gain in mass reach is aided by the increasingly more favorable kinematics of the signal at higher Higgsino masses and the observed yields in the signal regions.
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Compact Muon Solenoid
LHC, CERN