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CMS-SUS-20-004 ; CERN-EP-2021-214

Search for higgsinos decaying to two Higgs bosons and missing transverse momentum in proton-proton collisions at $\sqrt{s} = $ 13 TeV

CMS Collaboration

12 January 2022

JHEP 05 (2022) 014

Abstract: Results are presented from a search for physics beyond the standard model in proton-proton collisions at $\sqrt{s} = $ 13 TeV in channels with two Higgs bosons, each decaying via the process H $\to\mathrm{b\bar{b}}$, and large missing transverse momentum. The search uses a data sample corresponding to an integrated luminosity of 137 fb$^{-1}$ collected by the CMS experiment at the CERN LHC. The search is motivated by models of supersymmetry that predict the production of neutralinos, the neutral partners of the electroweak gauge and Higgs bosons. The observed event yields in the signal regions are found to be consistent with the standard model background expectations. The results are interpreted using simplified models of supersymmetry. For the electroweak production of nearly mass-degenerate higgsinos, each of whose decay chains yields a neutralino ($\tilde{\chi}^0_1$) that in turn decays to a massless goldstino and a Higgs boson, $\tilde{\chi}^0_1$ masses in the range 175 to 1025 GeV are excluded at 95% confidence level. For the strong production of gluino pairs decaying via a slightly lighter $\tilde{\chi}^0_2$ to H and a light $\tilde{\chi}^0_1$, gluino masses below 2330 GeV are excluded.

Links: e-print arXiv:2201.04206 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ;

Additional information on efficiencies needed for reinterpretation of these results are available here Additional technical material for CMS speakers can be found here.

Figures
png pdf	Figure 1: Diagrams for (left) the TChiHH-G signal model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $, in which the $\tilde{\chi}^0_1$ NLSPs are produced indirectly through the cascade decays of several combinations of neutralinos and charginos, as described in the text; (center) TChiHH, in which the electroweak production of two neutralinos leads to two Higgs bosons and two neutralinos ($\tilde{\chi}^0_1 $); (right) T5HH, the strong production of a pair of gluinos, each of which decays via a three-body process to quarks and a neutralino, with the neutralino subsequently decaying to a Higgs boson and a $\tilde{\chi}^0_1$ LSP. In each diagram, the hatched circle represents the sum of processes that can lead to the SUSY particles shown.
png pdf	Figure 1-a: Diagram for the TChiHH-G signal model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $, in which the $\tilde{\chi}^0_1$ NLSPs are produced indirectly through the cascade decays of several combinations of neutralinos and charginos, as described in the text. The hatched circle represents the sum of processes that can lead to the SUSY particles shown.
png pdf	Figure 1-b: Diagram for TChiHH, in which the electroweak production of two neutralinos leads to two Higgs bosons and two neutralinos ($\tilde{\chi}^0_1 $). The hatched circle represents the sum of processes that can lead to the SUSY particles shown.
png pdf	Figure 1-c: Diagram for T5HH, the strong production of a pair of gluinos, each of which decays via a three-body process to quarks and a neutralino, with the neutralino subsequently decaying to a Higgs boson and a $\tilde{\chi}^0_1$ LSP. The hatched circle represents the sum of processes that can lead to the SUSY particles shown.
png pdf	Figure 2: Distributions in key analysis variables of the resolved signature for events satisfying the baseline requirements and $ {N_\mathrm{b}} =$ 3 or 4, except for those on the variable plotted: (upper left) ${{p_{\mathrm {T}}} ^\text {miss}}$, (upper right) ${\Delta m_{\mathrm{b} \mathrm{b}}}$, (middle) ${\Delta R_{\text {max}}}$, (lower left) ${N_\mathrm{b}}$, and (lower right) ${< m_{\mathrm{b} \mathrm{b}}>}$. The rightmost bins include the overflow entries. The data are shown as black markers with error bars, simulated SM backgrounds by the stacked histograms (scaled by factors of 0.93-0.97 to match the total data yield in each plot), and simulations of signals TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) by the open colored histograms. Gray shading represents the statistical uncertainties of the simulation. Vertical lines indicate the boundaries for signal region selection (dashed), or for the signal region binning (dotted). The lower panels show the ratio of data to (scaled) simulation.
png pdf	Figure 2-a: Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ for events satisfying the baseline requirements and $ {N_\mathrm{b}} =$ 3 or 4. The rightmost bins includes the overflow entries. The data are shown as black markers with error bars, simulated SM backgrounds by the stacked histograms (scaled by a factor to match the total data yield), and simulations of signals TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) by the open colored histograms. Gray shading represents the statistical uncertainties of the simulation. Vertical lines indicate the boundaries for signal region selection (dashed), or for the signal region binning (dotted). The lower panel shows the ratio of data to (scaled) simulation.
png pdf	Figure 2-b: Distribution of ${\Delta m_{\mathrm{b} \mathrm{b}}}$ for events satisfying the baseline requirements and $ {N_\mathrm{b}} =$ 3 or 4. The rightmost bins includes the overflow entries. The data are shown as black markers with error bars, simulated SM backgrounds by the stacked histograms (scaled by a factor to match the total data yield), and simulations of signals TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) by the open colored histograms. Gray shading represents the statistical uncertainties of the simulation. Vertical lines indicate the boundaries for signal region selection (dashed), or for the signal region binning (dotted). The lower panel shows the ratio of data to (scaled) simulation.
png pdf	Figure 2-c: Distribution of ${\Delta R_{\text {max}}}$ for events satisfying the baseline requirements and $ {N_\mathrm{b}} =$ 3 or 4. The rightmost bins includes the overflow entries. The data are shown as black markers with error bars, simulated SM backgrounds by the stacked histograms (scaled by a factor to match the total data yield), and simulations of signals TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) by the open colored histograms. Gray shading represents the statistical uncertainties of the simulation. Vertical lines indicate the boundaries for signal region selection (dashed), or for the signal region binning (dotted). The lower panel shows the ratio of data to (scaled) simulation.
png pdf	Figure 2-d: Distribution of ${N_\mathrm{b}}$ for events satisfying the baseline requirements and $ {N_\mathrm{b}} =$ 3 or 4. The rightmost bins includes the overflow entries. The data are shown as black markers with error bars, simulated SM backgrounds by the stacked histograms (scaled by a factor to match the total data yield), and simulations of signals TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) by the open colored histograms. Gray shading represents the statistical uncertainties of the simulation. Vertical lines indicate the boundaries for signal region selection (dashed), or for the signal region binning (dotted). The lower panel shows the ratio of data to (scaled) simulation.
png pdf	Figure 2-e: Distributions of ${< m_{\mathrm{b} \mathrm{b}}>}$ for events satisfying the baseline requirements and $ {N_\mathrm{b}} =$ 3 or 4. The rightmost bins includes the overflow entries. The data are shown as black markers with error bars, simulated SM backgrounds by the stacked histograms (scaled by a factor to match the total data yield), and simulations of signals TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) by the open colored histograms. Gray shading represents the statistical uncertainties of the simulation. Vertical lines indicate the boundaries for signal region selection (dashed), or for the signal region binning (dotted). The lower panel shows the ratio of data to (scaled) simulation.
png pdf	Figure 3: Distributions in key analysis variables after the baseline requirements for the boosted signature, except for those on the variable plotted: (upper left) ${{p_{\mathrm {T}}} ^\text {miss}}$, (upper right) jet ${p_{\mathrm {T}}}$, (lower left) ${D_{ {\mathrm{b} \mathrm{b}}}}$, and (lower right) ${m_{\mathrm {J}}}$. Except for the ${{p_{\mathrm {T}}} ^\text {miss}}$ distribution, each plot contains two entries per event, for each of the two ${p_{\mathrm {T}}}$-leading AK8 jets. The data are shown by the black markers with error bars, and SM backgrounds from simulation (scaled by 86% to match the data integral) by the filled histograms. Open colored histograms show simulations of the signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) or T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]). The vertical dashed lines show boundaries for the event classifications defined in Section 7: (upper left) the ${{p_{\mathrm {T}}} ^\text {miss}}$ binning; (lower left) the ${D_{ {\mathrm{b} \mathrm{b}}}}$ threshold for identification of a jet as an ${\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}}}$ candidate; (lower right) the boundaries of the H boson mass window. The lower panel in each plot shows the ratio of observed to (scaled) simulated yields.
png pdf	Figure 3-a: Distribution of ${{p_{\mathrm {T}}} ^\text {miss}}$ after the baseline requirements for the boosted signature. The data are shown by the black markers with error bars, and SM backgrounds from simulation (scaled by 86% to match the data integral) by the filled histograms. Open colored histograms show simulations of the signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) or T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]). The vertical dashed lines show the ${{p_{\mathrm {T}}} ^\text {miss}}$ binning. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Figure 3-b: Distribution of jet ${p_{\mathrm {T}}}$ after the baseline requirements for the boosted signature, except for those on the variable plotted. The plot contains two entries per event, for each of the two ${p_{\mathrm {T}}}$-leading AK8 jets. The data are shown by the black markers with error bars, and SM backgrounds from simulation (scaled by 86% to match the data integral) by the filled histograms. Open colored histograms show simulations of the signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) or T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]). The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Figure 3-c: Distribution of ${D_{ {\mathrm{b} \mathrm{b}}}}$ after the baseline requirements for the boosted signature. The plot contains two entries per event, for each of the two ${p_{\mathrm {T}}}$-leading AK8 jets. The data are shown by the black markers with error bars, and SM backgrounds from simulation (scaled by 86% to match the data integral) by the filled histograms. Open colored histograms show simulations of the signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) or T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]). The vertical dashed line shows the ${D_{ {\mathrm{b} \mathrm{b}}}}$ threshold for identification of a jet as an ${\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}}}$ candidate. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Figure 3-d: Distribution of ${m_{\mathrm {J}}}$ after the baseline requirements for the boosted signature. The plot contains two entries per event, for each of the two ${p_{\mathrm {T}}}$-leading AK8 jets. The data are shown by the black markers with error bars, and SM backgrounds from simulation (scaled by 86% to match the data integral) by the filled histograms. Open colored histograms show simulations of the signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) or T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]). The vertical dashed lines show the boundaries of the H boson mass window. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Figure 4: Configuration of the signal and control regions for the (left) resolved and (right) boosted signatures. The patterns shown are repeated in each of several bins in kinematic or topological variables for improved sensitivity, as discussed in the text.
png pdf	Figure 5: The double ratio $\kappa = ({N_{\text {SR}}} / {N_{\text {SB}}})/({N_{\text {CSR}}} / {N_{\text {CSB}}})$ from the SM simulation for the $ {N_\mathrm{b}} =$ 3 and $ {N_\mathrm{b}} =$ 4 search samples for each $({{p_{\mathrm {T}}} ^\text {miss}}$, ${\Delta R_{\text {max}}})$ bin of the resolved signature. The value $\Delta $ gives the deviation of ${\kappa}$ from unity, and $\sigma $ its relative statistical uncertainty.
png pdf	Figure 6: (left) The yield ratios $ {N_{\text {CSR}}} / {N_{\text {CSB}}} $ for the 0H region, and $ {N_{\text {SR}}} / {N_{\text {SB}}} $ for 1H and 2H regions of the boosted signature, from the SM simulation. (right) The $ {{p_{\mathrm {T}}} ^\text {miss}} $ distributions of the 2H and 1H SR yields and the 0H+b control region yields, for SM simulation (MC, solid points), and for the control region in data (open black points). In the right-hand plot the upper panel shows the distributions normalized to unit area. The blue points, and in one bin the open point, are hidden under the solid black points. The lower panel shows the (unnormalized) ratios to the 0H+b yields of the 1H (blue) and 2H (red) SR yields, for the simulation. The error bars show the statistical uncertainties.
png pdf	Figure 6-a: The yield ratios $ {N_{\text {CSR}}} / {N_{\text {CSB}}} $ for the 0H region, and $ {N_{\text {SR}}} / {N_{\text {SB}}} $ for 1H and 2H regions of the boosted signature, from the SM simulation.
png pdf	Figure 6-b: The $ {{p_{\mathrm {T}}} ^\text {miss}} $ distributions of the 2H and 1H SR yields and the 0H+b control region yields, for SM simulation (MC, solid points), and for the control region in data (open black points). In the right-hand plot the upper panel shows the distributions normalized to unit area. The blue points, and in one bin the open point, are hidden under the solid black points. The lower panel shows the (unnormalized) ratios to the 0H+b yields of the 1H (blue) and 2H (red) SR yields, for the simulation. The error bars show the statistical uncertainties.
png pdf	Figure 7: Distributions in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the (upper row) $ {N_\mathrm{b}} =$ 3 and (lower row) $ {N_\mathrm{b}} =$ 4 data, denoted by black markers, with error bars indicating the statistical uncertainties. The left-hand set of plots corresponds to $ {\Delta R_{\text {max}}} < $ 1.1, while the right-hand set corresponds to 1.1 $ < {\Delta R_{\text {max}}} < $ 2.2, in both cases integrated over ${{p_{\mathrm {T}}} ^\text {miss}}$. The overlaid cyan histograms show the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 or $ {N_\mathrm{b}} =$ 4 distribution and with statistical uncertainties indicated by the cyan shading (absent in the 140-150 bin because of a vanishing $ {N_\mathrm{b}} =$ 2 yield there). The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 7-a: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 3 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to $ {\Delta R_{\text {max}}} < $ 1.1, integrated over ${{p_{\mathrm {T}}} ^\text {miss}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 distribution and with statistical uncertainties indicated by the cyan shading (absent in the 140-150 bin because of a vanishing $ {N_\mathrm{b}} =$ 2 yield there). The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 7-b: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 3 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to 1.1 $ < {\Delta R_{\text {max}}} < $ 2.2, integrated over ${{p_{\mathrm {T}}} ^\text {miss}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 distribution and with statistical uncertainties indicated by the cyan shading (absent in the 140-150 bin because of a vanishing $ {N_\mathrm{b}} =$ 2 yield there). The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 7-c: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 4 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to $ {\Delta R_{\text {max}}} < $ 1.1, integrated over ${{p_{\mathrm {T}}} ^\text {miss}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 4 distribution and with statistical uncertainties indicated by the cyan shading (absent in the 140-150 bin because of a vanishing $ {N_\mathrm{b}} =$ 2 yield there). The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 7-d: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 4 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to 1.1 $ < {\Delta R_{\text {max}}} < $ 2.2, integrated over ${{p_{\mathrm {T}}} ^\text {miss}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 4 distribution and with statistical uncertainties indicated by the cyan shading (absent in the 140-150 bin because of a vanishing $ {N_\mathrm{b}} =$ 2 yield there). The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 8: Distributions in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the (upper row) $ {N_\mathrm{b}} =$ 3 and (lower row) $ {N_\mathrm{b}} =$ 4 data, denoted by black markers, with error bars indicating the statistical uncertainties. The left-hand set of plots corresponds to 150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200, while the right-hand set corresponds to $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV, in both cases integrated over ${\Delta R_{\text {max}}}$. The overlaid cyan histograms show the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 or $ {N_\mathrm{b}} =$ 4 distribution and with statistical uncertainties indicated by the cyan shading. The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 8-a: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 3 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to 150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200, integrated over ${\Delta R_{\text {max}}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 4 distribution and with statistical uncertainties indicated by the cyan shading. The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 8-b: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 3 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV, integrated over ${\Delta R_{\text {max}}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 4 distribution and with statistical uncertainties indicated by the cyan shading. The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 8-c: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 4 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to 150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200, integrated over ${\Delta R_{\text {max}}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 4 distribution and with statistical uncertainties indicated by the cyan shading. The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 8-d: Distribution in ${< m_{\mathrm{b} \mathrm{b}}>}$ for the $ {N_\mathrm{b}} =$ 4 data, denoted by black markers, with error bars indicating the statistical uncertainties. The plot corresponds to $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV, integrated over ${\Delta R_{\text {max}}}$. The overlaid cyan histogram shows the corresponding distributions of the $ {N_\mathrm{b}} =$ 2 data, reweighted with the appropriate ${\kappa}$ values and scaled in area to the $ {N_\mathrm{b}} =$ 3 4 distribution and with statistical uncertainties indicated by the cyan shading. The ratio of these distributions appears in the lower panel. The red, green, and violet histograms show simulations of representative signals, denoted TChiHH-G($m(\tilde{\chi}^0_1),m(\tilde{\mathrm{G}}$) [GeV]) in the legends.
png pdf	Figure 9: Distributions in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$. The projections (left column) contain two entries per event, with statistical uncertainties in the data and simulation given by the vertical bars and gray shading, respectively. The SM yields are scaled to the data integral, by factors of 0.84, 0.92, and 1.13 in the 0H (upper), 1H (middle), and 2H (lower) plots, respectively. The data to simulation ratio appears in each lower panel. Simulated signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) and T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]) are also shown. In the correlation plots (right column) the color scale represents the SM background, black dots the data, and red dots the expected signal. The dashed lines and boxes denote the boundaries of the SRs.
png pdf	Figure 9-a: Distribution in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$, in the 0H region. The projection contains two entries per event, with statistical uncertainties in the data and simulation given by the vertical bars and gray shading, respectively. The SM yield is scaled to the data integral, by a factor of 0.84. The data to simulation ratio appears in the lower panel. Simulated signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) and T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]) are also shown. The dashed lines denote the boundaries of the SR.
png pdf	Figure 9-b: Distribution in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$, in the 0H region. Correlation plot, where the color scale represents the SM background, black dots the data, and red dots the expected signal. The dashed box denotes the boundary of the SR.
png pdf	Figure 9-c: Distribution in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$, in the 1H region. The projection contains two entries per event, with statistical uncertainties in the data and simulation given by the vertical bars and gray shading, respectively. The SM yield is scaled to the data integral, by a factor of 0.92. The data to simulation ratio appears in the lower panel. Simulated signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) and T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]) are also shown. The dashed lines denote the boundaries of the SR.
png pdf	Figure 9-d: Distribution in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$, in the 1H region. Correlation plot, where the color scale represents the SM background, black dots the data, and red dots the expected signal. The dashed box denotes the boundary of the SR.
png pdf	Figure 9-e: Distribution in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$, in the 2H region. The projection contains two entries per event, with statistical uncertainties in the data and simulation given by the vertical bars and gray shading, respectively. The SM yield is scaled to the data integral, by a factor of 1.13. The data to simulation ratio appears in the lower panel. Simulated signals TChiHH-G($m(\tilde{\chi}^0_1)$, $m(\tilde{\mathrm{G}})$) and T5HH($m({\mathrm{\widetilde{g}}})$, $m(\tilde{\chi}^0_1$)[GeV]) are also shown. The dashed lines denote the boundaries of the SR.
png pdf	Figure 9-f: Distribution in ${m_{\mathrm {J}}}$ for the boosted signature, integrated in ${{p_{\mathrm {T}}} ^\text {miss}}$, in the 2H region. Correlation plot, where the color scale represents the SM background, black dots the data, and red dots the expected signal. The dashed box denotes the boundary of the SR.
png pdf root	Figure 10: Observed and predicted yields in the search regions identified by the legend text. The points with error bars represent the observed yields, the magenta outline bands the predicted background yields ("Pred'') with their total uncertainties derived as described in Sections 7 and 8, and the blue shaded bands the values determined by the background-only fit ("Fit'').
png pdf root	Figure 11: Observed and expected upper limits at 95% CL on the cross section for the GMSB-motivated simplified model TChiHH-G. The symbol $\text {X}_{\text {soft}}$ in the legend represents low-energy particles emitted in the transitions to the $\tilde{\chi}^0_1$ NLSPs. The dashed black line with green and yellow bands shows the expected limit with its 1- and 2-s.d. uncertainties, while the solid black line shows the observed limit. The theoretical cross section is indicated by the dashed red line under the assumption that the decay chains leading to the $\tilde{\chi}^0_1 \tilde{\chi}^0_1 $ intermediate state include a degenerate set of all charginos and neutralinos, and by the dotted magenta line under the assumption that only the combination $\tilde{\chi}^0_1 \tilde{\chi}^0_2 $ contributes.
png pdf	Figure 12: Separate resolved-signature (blue) and boosted-signature (red) contributions to the cross section limits for the GMSB-motivated simplified model TChiHH-G shown in Fig. 11. Here no overlapping events were removed. The symbol $\text {X}_{\text {soft}}$ in the legend represents low-energy particles emitted in the transitions to the $\tilde{\chi}^0_1$ NLSPs. The solid and dashed lines, respectively, give the observed and expected upper limits at 95% CL. The dashed black line shows the theoretical cross section computed under the assumption that the decay chains leading to the $\tilde{\chi}^0_1 \tilde{\chi}^0_1 $ intermediate state include a degenerate set of all charginos and neutralinos.
png pdf root	Figure 13: Limits at 95% CL on the cross section for the TChiHH signal model in which production of the intermediate state $\tilde{\chi}^0_2 \tilde{\chi}^0_3 $ (assumed mass degenerate) is followed by the decay of each to $\tilde{\chi}^0_1 \mathrm{H} $. The color scale gives the cross section limit as a function of $(m(\tilde{\chi}^0_2),m(\tilde{\chi}^0_1))$. The black solid and dashed curves show the observed excluded region and its 1-s.d. uncertainty. The red solid and dashed (dotted) contours show the expected excluded region with its 1 (2)-s.d. uncertainty.
png pdf root	Figure 14: Observed and expected upper limits at 95% CL on the cross section for the simplified model T5HH, the strong production of a pair of gluinos each of which decays via a three-body process to quarks and a $\tilde{\chi}^0_2$ NLSP, which subsequently decays to a Higgs boson and a $\tilde{\chi}^0_1$ LSP. The dashed black line with green and yellow bands shows the expected limit with its 1- and 2-s.d. uncertainties; the solid black line shows the observed limit, and the dashed red line the theoretical cross section.

Tables
png pdf	Table 1: Summary of the uncertainties in ${\kappa}$ for the resolved signature. The sources are statistical uncertainties in the determination of ${\kappa}$ and the systematic uncertainties $\Delta \kappa (\text {data, MC})/\kappa $ derived from the comparison of simulation with data in the single-lepton, dilepton, and low-${\Delta \phi}$ control samples, each weighted by the fraction of background arising from the associated process in each search bin.
png pdf	Table 2: Summary of systematic uncertainties in the background prediction for the boosted signature. Values in cells spanning the 1H and 2H columns affect only ${f_{\text {pTmiss}}}$. The values from the ABCD measurement with the ${p_{\mathrm {T}}}$-integrated sample appear in the rows labeled $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 300 GeV. The row labeled $\Delta (\text {data, MC})$ gives the contribution derived from the comparison of simulation with data in the one-lepton control sample.
png pdf	Table 3: Sources of systematic uncertainties and their typical impact on the signal yields obtained from simulation. The range is reported as the median 68% confidence interval among all signal regions for every signal mass point considered. Entries reported as 0 correspond to values smaller than 0.5%.
png pdf	Table 4: For each SR of the resolved signature, the MC correction factor ${\kappa}$, predicted background yield ${N_{\text {SR}}^{\text {pred}}}$, yield from the background-only ($\mu =$ 0) fit ${N_{\text {SR}}^{\text {fit}}}$, and observed yield ${N_{\text {SR}}^{\text {obs}}}$. The first and second uncertainties in the ${\kappa}$ factors are statistical and systematic, respectively. The uncertainties in ${N_{\text {SR}}^{\text {pred}}}$ and ${N_{\text {SR}}^{\text {fit}}}$, extracted from the maximum likelihood fit, include both statistical and systematic contributions. The interpretation of the results in bin 11 is discussed in the text.
png pdf	Table 5: For each ${N_{\mathrm {\mathrm{H}}}}$ SR of the boosted signature, the total predicted background yield ${N_{\text {SR, tot}}^{\text {pred}}}$, and for each ${{p_{\mathrm {T}}} ^\text {miss}}$ bin the fraction ${f_{\text {pTmiss}}}$, both with their statistical uncertainties, the predicted background yield ${N_{\text {SR}}^{\text {pred}}}$, the yield from the background-only ($\mu =$ 0) fit ${N_{\text {SR}}^{\text {fit}}}$, and the observed yield ${N_{\text {SR}}^{\text {obs}}}$. The values of ${N_{\text {SR}}^{\text {pred}}}$ and ${N_{\text {SR}}^{\text {fit}}}$ are extracted from the maximum likelihood fit, with uncertainties that include both statistical and systematic contributions.

Summary

A search has been presented for physics beyond the standard model in channels leading to pairs of Higgs bosons and an imbalance of transverse momentum, produced in proton-proton collisions at $\sqrt{s} = $ 13 TeV. The data sample, collected by the CMS experiment at the LHC, corresponds to an integrated luminosity of 137 fb$^{-1}$. The Higgs bosons are reconstructed via their decay to a pair of b quarks, observed either as distinct b quark jets (resolved signature), or as wide-angle jets that each contain the pair of b quarks (boosted signature). The observed event yields in 15 of the 16 analysis bins of the resolved signature, and all 6 bins of the boosted signature, are consistent with the background predictions based on SM processes. In one bin of the resolved signature, an excess is observed, for which the global significance is 2.1 standard deviations when all 16 bins are considered. A narrow, single-bin effect is not typical of the supersymmetry (SUSY) models under consideration. These results are used to set limits on the cross sections for the production of particles predicted by SUSY, considering both the direct production of neutralinos and their production through intermediate states with gluinos. For the electroweak production of nearly-degenerate higgsinos, each of whose decay cascades yields a ${\tilde{\chi}^0_1}$ that in turn decays through a Higgs boson to the lightest SUSY particle (LSP), a massless goldstino, $\tilde{\chi}^0_1$ masses in the range 175-1025 GeV are excluded at 95% confidence level. For a model with a mass splitting between the directly produced, degenerate higgsinos $\tilde{\chi}^0_2 \tilde{\chi}^0_3$, and a bino LSP, a small region where $m(\tilde{\chi}^0_1)$ is less than 15 GeV is excluded; for $m(\tilde{\chi}^0_1) = $ 1 GeV the excluded range of $m(\tilde{\chi}^0_2)$ is 265-305 GeV. For the strong production of gluino pairs decaying via a slightly lighter $\tilde{\chi}^0_2$ to a Higgs boson and a light $\tilde{\chi}^0_1$ LSP, gluino masses below 2330 GeV are excluded. The bounds on masses found here extend previous limits for these models by about 150 and 320 GeV for the $\tilde{\chi}^0_1$ and gluino, respectively.

Additional Figures
png pdf	Additional Figure 1: Upper limit exclusion at 95% CL for the gluino model T5HH shown for the boosted-only and resolved-only approaches, comparing expected and observed. Overlapping events were not removed.
png pdf	Additional Figure 2: The significance scan for the TChiHH model (a) and the T5HH model (b) for the combination of resolved and boosted signatures. The value of the significance is signed negative where the best-fit value of the signal strength is negative (observation is less than the background estimate). The highest significance for the TChiHH model is 2.0$\sigma $ at the $ m(\tilde{\chi}_2^0)= $ 450 GeV, $ m(\tilde{\chi}^0_1)=$ 50 GeV mass point.
png pdf root	Additional Figure 2-a: The significance scan for the T5HH model for the combination of resolved and boosted signatures. The value of the significance is signed negative where the best-fit value of the signal strength is negative (observation is less than the background estimate).
png pdf root	Additional Figure 2-b: The significance scan for the TChiHH model (a) and the T5HH model (b) for the combination of resolved and boosted signatures. The value of the significance is signed negative where the best-fit value of the signal strength is negative (observation is less than the background estimate). The highest significance for the TChiHH model is 2.0$\sigma $ at the $ m(\tilde{\chi}_2^0)= $ 450 GeV, $ m(\tilde{\chi}^0_1)=$ 50 GeV mass point.
png pdf	Additional Figure 3: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $ (left two columns), or the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $ (right two columns). In the first row (a, b) are shown the resolved-only topology, bins 1-16 (blue), the boosted-only topology, bins 17-22 (red), and all bins 1-22 (black). In the remaining rows are shown: (c, e) bins 1-4; (d, f) bins 5-8; (g, h) bins 9-12; (i, j) bins 13-16; (k, m) bins 17-19; and (l, n) bins 20-22. The data within plots are given, in increasing order of bin number, by colors ranging from light green to blue (c-j) or red to light orange (k-n). The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation of the TChiHH-G model includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-a: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown the resolved-only topology, bins 1-16 (blue), the boosted-only topology, bins 17-22 (red), and all bins 1-22 (black). The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-b: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown the resolved-only topology, bins 1-16 (blue), the boosted-only topology, bins 17-22 (red), and all bins 1-22 (black).
png pdf root	Additional Figure 3-c: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown bins 1-4. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-d: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown bins 5-8. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-e: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown bins 1-4. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 3-f: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown bins 5-8. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 3-g: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown bins 9-12. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to bluee. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-h: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown bins 13-16. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-i: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown bins 9-12. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 3-j: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown bins 13-16. The data within the plot are given, in increasing order of bin number, by colors ranging from light green to blue. The SR indexing is given in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 3-k: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown bins 17-19. The data within the plot are given, in increasing order of bin number, by colors ranging from red to light orange. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-l: Efficiency by signal region for the TChiHH-G model, $\tilde{\chi}^0_1 \tilde{\chi}^0_1 \to \mathrm{H} \mathrm{H} \tilde{\mathrm{G}} \tilde{\mathrm{G}} $. In this plot are shown bins 20-22. The data within the plot are given, in increasing order of bin number, by colors ranging from red to light orange. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs).
png pdf root	Additional Figure 3-m: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown bins 17-19. The data within the plot are given, in increasing order of bin number, by colors ranging from red to light orange. The SR indexing is given in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 3-n: Efficiency by signal region for the T5HH model, ${\mathrm{\widetilde{g}}} {\mathrm{\widetilde{g}}} \to \mathrm{q} \mathrm{\bar{q}} \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $. In this plot are shown bins 20-22. The data within the plot are given, in increasing order of bin number, by colors ranging from red to light orange. The SR indexing is given in Tables 4 and 5 of the paper.
png pdf	Additional Figure 4: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: (a) resolved SRs, (b) boosted SRs, (c) all SRs, and (d-y) SR 1-22. The SR indexing is given in Tables 4 and 5 of the paper. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays (for all SRs). Overlapping events between the two signatures have been removed from the boosted SRs.
png pdf root	Additional Figure 4-a: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: resolved SRs. boosted SRs. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-b: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: boosted SRs. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-c: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: all SRs. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-d: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 1. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-e: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 2. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-f: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 3. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-g: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 4. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-h: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 5. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-i: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 6. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-j: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 7. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-k: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 8. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-l: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 9. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-m: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 10. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-n: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 11. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-o: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 12. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-p: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 13. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-q: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 14. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-r: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 15. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-s: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 16. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-t: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 17. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-u: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 18. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-v: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 19. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-w: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 20. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-x: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 21. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf root	Additional Figure 4-y: Efficiency for the TChiHH model, $\tilde{\chi}_2^0 \tilde{\chi}_2^0 \to \mathrm{H} \mathrm{H} \tilde{\chi}^0_1 \tilde{\chi}^0_1 $: SR 22. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf	Additional Figure 5: Observed and predicted yields in the search regions identified by the legend text. The black points with vertical error bars represent the observed yields, the magenta outline bands the background yields derived from the data sidebands with their total uncertainty, blue shaded bands the values determined by the background-only fit, and the green points with horizontal bars (indicating the bin width) the sum of the background yields derived from the data sidebands and the yields of the TChiHH-G(450,1) model with signal strength 1.
png pdf	Additional Figure 6: (a) Covariance and (b) correlation matrices for the 22 search bins, ordered as in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 6-a: Covariance matrix for the 22 search bins, ordered as in Tables 4 and 5 of the paper.
png pdf root	Additional Figure 6-b: Correlation matrix for the 22 search bins, ordered as in Tables 4 and 5 of the paper.
png pdf	Additional Figure 7: ${{p_{\mathrm {T}}} ^\text {miss}}$ trigger efficiency (points) as a function of ${{p_{\mathrm {T}}} ^\text {miss}}$ for each year of data taking. The trigger threshold varied between 90 and 140 GeV, depending on the LHC instantaneous luminosity resulting in different efficiencies for each year. For large values of ${{p_{\mathrm {T}}} ^\text {miss}}$, the efficiency for all three years is unity. The solid (dashed) histogram gives the corresponding event count for the numerator (denominator) entering into the efficiency calculation.
png pdf	Additional Figure 8: The background composition for different categories for the resolved topology. The columns correspond to 2b (left), 3b (center), and 4b (right). Each row has one selection in addition to the baseline selection, 150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200 GeV (top row), $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV (second row), 1.1 $ < \Delta R_{\text {max}} < $ 2.2 (third row), and $\Delta R_{\text {max}} < $ 1.1 (bottom row).
png pdf	Additional Figure 9: Distributions of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in various categories within the resolved signature baseline selection: (a) 2b and 1.1 $ < \Delta R_{\text {max}} < $ 2.2, (b) 2b and $\Delta R_{\text {max}} < $ 1.1, (c) 3-4b and 1.1 $ < \Delta R_{\text {max}} < $ 2.2, (d) 3-4b and $\Delta R_{\text {max}} < $ 1.1, (e) 2b and 150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200 GeV, (f) 2b and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV, (g) 3 and 4b $-$150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200 GeV, and (h) 3-4b and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV.
png pdf	Additional Figure 9-a: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 2b and 1.1 $ < \Delta R_{\text {max}} < $ 2.2 category.
png pdf	Additional Figure 9-b: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 2b and $\Delta R_{\text {max}} < $ 1.1 category.
png pdf	Additional Figure 9-c: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 3-4b and 1.1 $ < \Delta R_{\text {max}} < $ 2.2 category.
png pdf	Additional Figure 9-d: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 3-4b and $\Delta R_{\text {max}} < $ 1.1 category.
png pdf	Additional Figure 9-e: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 2b and 150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200 GeV category.
png pdf	Additional Figure 9-f: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 2b and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV category.
png pdf	Additional Figure 9-g: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 3 and 4b $-$150 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 200 GeV category.
png pdf	Additional Figure 9-h: Distribution of $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulation in the 3-4b and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 200 GeV category.
png pdf	Additional Figure 10: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature: (a, b) the 1-lepton control sample with $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 75 GeV for the 2b and 3-4b categories respectively; (c, d) the 2-lepton control sample for the 0b and 1b categories respectively; and (e, f) the low-$\Delta \phi $ control sample for the 0b and 1b categories respectively.
png pdf	Additional Figure 10-a: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature: the 1-lepton control sample with $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 75 GeV for the 2b category.
png pdf	Additional Figure 10-b: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature:
png pdf	Additional Figure 10-c: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature: the 2-lepton control sample for the 0b category.
png pdf	Additional Figure 10-d: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature: the 2-lepton control sample for the 1b category.
png pdf	Additional Figure 10-e: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature: the low-$\Delta \phi $ control sample for the 0b category.
png pdf	Additional Figure 10-f: Distributions in $< m_{\mathrm{b} \mathrm{b}}> $ for data and simulated control samples of the resolved signature: the low-$\Delta \phi $ control sample for the 1b category.
png pdf	Additional Figure 11: Comparison of the $< m_{\mathrm{b} \mathrm{b}}> $ shape among the $N_{\mathrm{b}}=$ 2, 3, and 4 regions for the background simulation. The histograms are normalized to a common area. The regions CSR and SR are defined to be within the H mass window 100 $ < \, < m_{\mathrm{b} \mathrm{b}}> \, < $ 140 GeV, and CSB and SB are outside of the H mass window, 0 $ < < m_{\mathrm{b} \mathrm{b}}> < $ 100 GeV or 140 $ < \, < m_{\mathrm{b} \mathrm{b}}> \, < $ 200 GeV.
png pdf	Additional Figure 12: Comparison of the value of $\kappa = (N_\text {SR}/N_\text {SB})/(N_\text {CSR}/N_\text {CSB})$, for the resolved signature, between SM simulation and data for the 1-lepton control sample (a), the 2-lepton control sample (b), and the low-$\Delta \phi $ control sample (c). The values of $\Delta _\kappa $ refer to the difference between the value of $\kappa $ in data and simulation. The symbol $\sigma _\text {stat}$ refers to the statistical uncertainty of the value of $\kappa $ measured in data relative to unity.
png pdf	Additional Figure 12-a: Comparison of the value of $\kappa = (N_\text {SR}/N_\text {SB})/(N_\text {CSR}/N_\text {CSB})$, for the resolved signature, between SM simulation and data for the 1-lepton control sample. The values of $\Delta _\kappa $ refer to the difference between the value of $\kappa $ in data and simulation. The symbol $\sigma _\text {stat}$ refers to the statistical uncertainty of the value of $\kappa $ measured in data relative to unity.
png pdf	Additional Figure 12-b: Comparison of the value of $\kappa = (N_\text {SR}/N_\text {SB})/(N_\text {CSR}/N_\text {CSB})$, for the resolved signature, between SM simulation and data for the 2-lepton control sample. The values of $\Delta _\kappa $ refer to the difference between the value of $\kappa $ in data and simulation. The symbol $\sigma _\text {stat}$ refers to the statistical uncertainty of the value of $\kappa $ measured in data relative to unity.
png pdf	Additional Figure 12-c: Comparison of the value of $\kappa = (N_\text {SR}/N_\text {SB})/(N_\text {CSR}/N_\text {CSB})$, for the resolved signature, between SM simulation and data for the low-$\Delta \phi $ control sample. The values of $\Delta _\kappa $ refer to the difference between the value of $\kappa $ in data and simulation. The symbol $\sigma _\text {stat}$ refers to the statistical uncertainty of the value of $\kappa $ measured in data relative to unity.
png pdf	Additional Figure 13: The background composition in each of the six analysis regions for the boosted topology, integrated over ${{p_{\mathrm {T}}} ^\text {miss}}$, for $N_{\mathrm {H}}= $ 2 (top), $N_{\mathrm {H}} = $ 1 (second row), and $N_{\mathrm {H}}= $ 0 (third row). The left column shows the three regions with jets in the mass window (95-145 GeV), (C)SR, while the right column shows the three regions in the mass sideband (60-95 GeV) and (145-260 GeV), (C)SB. The bottom left is for the "0H+b" region.
png pdf	Additional Figure 14: Distributions in ${{p_{\mathrm {T}}} ^\text {miss}}$ for the (a) $N_{\mathrm {H}} = $ 1 and (b) $N_{\mathrm {H}}= $ 2 signal regions of the boosted phase space, from the simulation (filled histograms). Two signal points, one each for the TChiHH-G and T5HH signal samples, are shown by the red dotted and solid lines.
png pdf	Additional Figure 14-a: Distributions in ${{p_{\mathrm {T}}} ^\text {miss}}$ for the $N_{\mathrm {H}} = $ 1 signal region of the boosted phase space, from the simulation (filled histograms). Two signal points, one each for the TChiHH-G and T5HH signal samples, are shown by the red dotted and solid lines.
png pdf	Additional Figure 14-b: Distributions in ${{p_{\mathrm {T}}} ^\text {miss}}$ for the $N_{\mathrm {H}}= $ 2 signal region of the boosted phase space, from the simulation (filled histograms). Two signal points, one each for the TChiHH-G and T5HH signal samples, are shown by the red dotted and solid lines.
png pdf	Additional Figure 15: Distributions for the (a, c, and e) leading- and (b, d, and f) subleading-$ {p_{\mathrm {T}}}$ jet, in the most pertinent variables for the boosted signature. The baseline requirements are applied, except for those on the variable shown. The variables are (a, b) $ {p_{\mathrm {T}}}$, (c, d) $D_{{\mathrm{b} \mathrm{b}}}$, and (e, f) $m_{J}$. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel in each plot shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 15-a: Distribution of $ {p_{\mathrm {T}}}$ for the leading-$ {p_{\mathrm {T}}}$ jet. The baseline requirements are applied, except for those on the variable shown. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 15-b: Distribution of $ {p_{\mathrm {T}}}$ for the subleading-$ {p_{\mathrm {T}}}$ jet. The baseline requirements are applied, except for those on the variable shown. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 15-c: Distribution of $D_{{\mathrm{b} \mathrm{b}}}$ for the leading-$ {p_{\mathrm {T}}}$ jet. The baseline requirements are applied, except for those on the variable shown. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 15-d: Distribution of $D_{{\mathrm{b} \mathrm{b}}}$ for the subleading-$ {p_{\mathrm {T}}}$ jet. The baseline requirements are applied, except for those on the variable shown. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 15-e: Distribution of $m_{J}$ for the leading-$ {p_{\mathrm {T}}}$ jet. The baseline requirements are applied, except for those on the variable shown. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 15-f: Distribution of $m_{J}$ for the subleading-$ {p_{\mathrm {T}}}$ jet. The baseline requirements are applied, except for those on the variable shown. The SM backgrounds from simulation are scaled by 86% to match the data integral. Two signal points, a mass point for the TChiHH-G and one for the T5HH signal samples, are shown. The lower panel shows the ratio of observed to (scaled) simulated yields.
png pdf	Additional Figure 16: The full background estimation method closure for the boosted topology for (a, c) $N_{\mathrm {H}} = $ 1 and (b, d) $N_{\mathrm {H}}= $ 2 signal regions, in both MC (a, b) and data (c, d). The error bars on the background prediction are statistical only.
png pdf	Additional Figure 16-a: The full background estimation method closure for the boosted topology for $N_{\mathrm {H}} = $ 1 signal region, in MC. The error bars on the background prediction are statistical only.
png pdf	Additional Figure 16-b: The full background estimation method closure for the boosted topology for $N_{\mathrm {H}} = $ 2 signal region, in MC. The error bars on the background prediction are statistical only.
png pdf	Additional Figure 16-c: The full background estimation method closure for the boosted topology for $N_{\mathrm {H}} = $ 1 signal region, in data. The error bars on the background prediction are statistical only.
png pdf	Additional Figure 16-d: The full background estimation method closure for the boosted topology for $N_{\mathrm {H}} = $ 2 signal region, in data. The error bars on the background prediction are statistical only.
png pdf	Additional Figure 17: Efficiencies for Higgs-matched AK8 jets for $D_{ {\mathrm{b} \mathrm{b}}}$ (black) and the soft-drop mass algorithm (blue and red) for the boosted topology. The mass efficiency of the signal window (95-145 GeV) (blue) and the sideband (60-95 and 145-260 GeV) (red) are relative to the boosted baseline selection, except for the $m_{\mathrm {J}}$ requirement. The $D_{ {\mathrm{b} \mathrm{b}}}$ efficiency is for jets within the signal mass window. The sample considered for this efficiency is a combination of signal mass points in the simplified T5HH model.
png pdf	Additional Figure 18: Mass hierarchy of the SUSY particles in the simplified SUSY models; (a) TChiHH-G, (b) TChiHH, (c) T5HH.
png pdf	Additional Figure 18-a: Mass hierarchy of the SUSY particles in the simplified SUSY TChiHH-G model.
png pdf	Additional Figure 18-b: Mass hierarchy of the SUSY particles in the simplified SUSY TChiHH model.
png pdf	Additional Figure 18-c: Mass hierarchy of the SUSY particles in the simplified SUSY T5HH model.
png pdf	Additional Figure 19: Signal event topology in an electroweak production scenario.
png pdf	Additional Figure 20: Reconstruction of a Higgs boson as (a) two AK4 jets, and (b) one AK8 jet.
png pdf	Additional Figure 20-a: Reconstruction of a Higgs boson as two AK4 jets.
png pdf	Additional Figure 20-b: Reconstruction of a Higgs boson as one AK4 jet.
png pdf	Additional Figure 21: Typical configuration of (a) signal and (b) ${\mathrm{t} \mathrm{\bar{t}}}$ events with the resolved signature. In ${\mathrm{t} \mathrm{\bar{t}}}$ events, the presence of a misidentified b jet often results in a large value of $\Delta R_{bb}$ for one of the Higgs boson candidates.
png pdf	Additional Figure 21-a: Typical configuration of signal events with the resolved signature.
png pdf	Additional Figure 21-b: Typical configuration of signal ${\mathrm{t} \mathrm{\bar{t}}}$ events with the resolved signature. The presence of a misidentified b jet often results in a large value of $\Delta R_{bb}$ for one of the Higgs boson candidates.
png pdf	Additional Figure 22: Typical configuration of (a) signal and (b) background events with the boosted signature.
png pdf	Additional Figure 22-a: Typical configuration of signal events with the boosted signature.
png pdf	Additional Figure 22-b: Typical configuration of background events with the boosted signature.
png pdf	Additional Figure 23: Two dimensional distribution in simulated signal events (950 GeV higgsinos) of $\Delta R_{\mathrm{b} \mathrm{\bar{b}}}$ for the leading and subleading Higgs boson candidates, showing the approximate phase-space coverage of the resolved and boosted searches. The resolved phase space region extends from $\Delta R_{\mathrm{b} \mathrm{\bar{b}}} = $ 0.4 to 2.2, corresponding to the middle of the histogram, while the lower left part of the plot corresponds to the boosted phase space region.
png pdf	Additional Figure 24: Analysis regions used for the (left) resolved and (right) boosted signatures, after the baseline selection requirements are applied. The signal and sideband regions used for the background estimation are indicated. Further binning in other kinematic variables is applied.
png pdf	Additional Figure 25: Profile likelihood functions for representative scan points for the TChiHH model.
png pdf	Additional Figure 25-a: Profile likelihood function for a representative scan point for the TChiHH model.
png pdf	Additional Figure 25-b: Profile likelihood function for a representative scan point for the TChiHH model.
png pdf	Additional Figure 25-c: Profile likelihood function for a representative scan point for the TChiHH model.
png pdf	Additional Figure 25-d: Profile likelihood function for a representative scan point for the TChiHH model.
png pdf	Additional Figure 25-e: Profile likelihood function for a representative scan point for the TChiHH model.
png pdf	Additional Figure 25-f: Profile likelihood function for a representative scan point for the TChiHH model.

Additional Tables
png pdf	Additional Table 1: Signal event efficiencies of the resolved topology for the TChiHH model with a 450 GeV higgsino mass and 1 GeV LSP mass. The denominator for the efficiency calculation includes only $\mathrm{H} \to \mathrm{b} \mathrm{\bar{b}} $ decays.
png pdf	Additional Table 2: Signal event efficiencies of the boosted topology for the T5HH model with a 2200 GeV gluino mass.
png pdf	Additional Table 3: Resolved results table, including the data yields in the 6 ABCD regions in each ${{p_{\mathrm {T}}} ^\text {miss}}$ -$\Delta R_{\text {max}}$ plane.
png pdf	Additional Table 4: Boosted results table, including the data yields in the 6 analysis ABCD regions in each ${{p_{\mathrm {T}}} ^\text {miss}}$ bin. The data yields for the 0H+b control region, used to determine the ${{p_{\mathrm {T}}} ^\text {miss}}$ shape, are also included.
png pdf	Additional Table 5: Cut flow table for the resolved topology showing expected event yields at 137 fb$^{-1}$ for selected signal models as successive selections are applied. The selections above the horizontal line correspond to the resolved topology baseline selection.
png pdf	Additional Table 6: Cut flow table for the boosted topology showing expected event yields at 137 fb$^{-1}$ for selected signal models as successive selections are applied. Here the hadronic baseline is defined by $N_{\mathrm {jet}}\geq $2, ${{p_{\mathrm {T}}} ^\text {miss}}$ $ > $300 GeV, $\Delta \phi $ cuts, and the isolated lepton and track vetoes.

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