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| CMS-B2G-20-007 ; CERN-EP-2021-226 | ||
| Search for heavy resonances decaying to a pair of Lorentz-boosted Higgs bosons in final states with leptons and a bottom quark pair at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 6 December 2021 | ||
| JHEP 05 (2022) 005 | ||
| Abstract: A search for new heavy resonances decaying to a pair of Higgs bosons (HH) in proton-proton collisions at a center-of-mass energy of 13 TeV is presented. Data were collected with the CMS detector at the LHC in 2016-2018, corresponding to an integrated luminosity of 138 fb$^{-1}$. Resonances with a mass between 0.8 and 4.5 TeV are considered using events in which one Higgs boson decays into a bottom quark pair and the other into final states with either one or two charged leptons. Specifically, the single-lepton decay channel HH $\to$ $\mathrm{b\bar{b}}$WW$^*$ $\to$ $\mathrm{b\bar{b}}\ell\nu q\bar{q}'$ and the dilepton decay channels HH $\to$ $\mathrm{b\bar{b}}$WW$^*$ $\to$ $\mathrm{b\bar{b}}\ell\nu \ell\nu$ and HH $\to$ $\mathrm{b\bar{b}}\tau\tau$ $\to$ $\mathrm{b\bar{b}}\ell\nu\nu \ell\nu\nu$ are examined, where $\ell$ in the final state corresponds to an electron or muon. The signal is extracted using a two-dimensional maximum likelihood fit of the H $\to$ $\mathrm{b\bar{b}}$ jet mass and HH invariant mass distributions. No significant excess above the standard model expectation is observed in data. Model-independent exclusion limits are placed on the product of the cross section and branching fraction for narrow spin-0 and spin-2 massive bosons decaying to HH. The results are also interpreted in the context of radion and bulk graviton production in models with a warped extra spatial dimension. The results provide the most stringent limits to date for X $\to$ HH signatures with final-state leptons and at some masses provide the most sensitive limits of all X $\to$ HH searches. | ||
| Links: e-print arXiv:2112.03161 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; Physics Briefing ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Single-lepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${D_{\ell \nu {{\mathrm{q} \mathrm{\bar{q}}} ^\prime}}}$ plot contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 1-a:
Single-lepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${D_{\ell \nu {{\mathrm{q} \mathrm{\bar{q}}} ^\prime}}}$ plot contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 1-b:
Single-lepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${D_{\ell \nu {{\mathrm{q} \mathrm{\bar{q}}} ^\prime}}}$ plot contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 1-c:
Single-lepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${D_{\ell \nu {{\mathrm{q} \mathrm{\bar{q}}} ^\prime}}}$ plot contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 1-d:
Single-lepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${D_{\ell \nu {{\mathrm{q} \mathrm{\bar{q}}} ^\prime}}}$ plot contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 2:
Dilepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${m_{\ell \ell}}$, ${{\Delta R}_{\ell \ell}}$, and ${{p_{\mathrm {T}}} ^\text {miss}}$ plots contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 0.1 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 2-a:
Dilepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${m_{\ell \ell}}$, ${{\Delta R}_{\ell \ell}}$, and ${{p_{\mathrm {T}}} ^\text {miss}}$ plots contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 0.1 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
png pdf |
Figure 2-b:
Dilepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${m_{\ell \ell}}$, ${{\Delta R}_{\ell \ell}}$, and ${{p_{\mathrm {T}}} ^\text {miss}}$ plots contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 0.1 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
png pdf |
Figure 2-c:
Dilepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${m_{\ell \ell}}$, ${{\Delta R}_{\ell \ell}}$, and ${{p_{\mathrm {T}}} ^\text {miss}}$ plots contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 0.1 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
png pdf |
Figure 2-d:
Dilepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${m_{\ell \ell}}$, ${{\Delta R}_{\ell \ell}}$, and ${{p_{\mathrm {T}}} ^\text {miss}}$ plots contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 0.1 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 2-e:
Dilepton channel observables: distributions are shown for data (points), pre-fit simulated SM processes (filled histograms), and simulated signal (solid lines). The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are displayed. The rightmost bin in the ${m_{\ell \ell}}$, ${{\Delta R}_{\ell \ell}}$, and ${{p_{\mathrm {T}}} ^\text {miss}}$ plots contains the overflow events. For both signal models, $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 0.1 pb. The lower panels of each plot show the ratio of the data to the sum of all background processes. The red dashed line and arrow indicate the selected region of the variable of interest. |
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Figure 3:
The pre-fit ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ distributions for the SL (upper row) and DL (lower row) channels. The data are shown as the points with error bars. In each plot, the pre-fit background (filled histograms) is shown broken down either according to the SM process (left) or according to the background classification of Section 6.1 (right). The total simulated background is the same in each case. The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are also shown (solid lines). The product $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb for the SL channel and 0.1 pb for the DL channel. The lower panels of each plot show the ratio of the data to the sum of all background processes. |
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Figure 3-a:
The pre-fit ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ distributions for the SL (upper row) and DL (lower row) channels. The data are shown as the points with error bars. In each plot, the pre-fit background (filled histograms) is shown broken down either according to the SM process (left) or according to the background classification of Section 6.1 (right). The total simulated background is the same in each case. The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are also shown (solid lines). The product $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb for the SL channel and 0.1 pb for the DL channel. The lower panels of each plot show the ratio of the data to the sum of all background processes. |
png pdf |
Figure 3-b:
The pre-fit ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ distributions for the SL (upper row) and DL (lower row) channels. The data are shown as the points with error bars. In each plot, the pre-fit background (filled histograms) is shown broken down either according to the SM process (left) or according to the background classification of Section 6.1 (right). The total simulated background is the same in each case. The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are also shown (solid lines). The product $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb for the SL channel and 0.1 pb for the DL channel. The lower panels of each plot show the ratio of the data to the sum of all background processes. |
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Figure 3-c:
The pre-fit ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ distributions for the SL (upper row) and DL (lower row) channels. The data are shown as the points with error bars. In each plot, the pre-fit background (filled histograms) is shown broken down either according to the SM process (left) or according to the background classification of Section 6.1 (right). The total simulated background is the same in each case. The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are also shown (solid lines). The product $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb for the SL channel and 0.1 pb for the DL channel. The lower panels of each plot show the ratio of the data to the sum of all background processes. |
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Figure 3-d:
The pre-fit ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ distributions for the SL (upper row) and DL (lower row) channels. The data are shown as the points with error bars. In each plot, the pre-fit background (filled histograms) is shown broken down either according to the SM process (left) or according to the background classification of Section 6.1 (right). The total simulated background is the same in each case. The statistical uncertainty in the simulated sample is shown as the hatched band. Spin-0 signals for ${m_{\mathrm{X}}}$ of 1.0 and 3.0 TeV are also shown (solid lines). The product $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ is set to 1.0 pb for the SL channel and 0.1 pb for the DL channel. The lower panels of each plot show the ratio of the data to the sum of all background processes. |
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Figure 4:
The post-fit model compared to data in the top CR (upper plots) and non-top CR (lower plots), projected into ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ (left) and ${m_{\mathrm{H} \mathrm{H}}}$ (right). Events from all categories are combined. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty is shown as the hatched band. The lower panels of each plot show the ratio of the data to the fit result. |
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Figure 4-a:
The post-fit model compared to data in the top CR (upper plots) and non-top CR (lower plots), projected into ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ (left) and ${m_{\mathrm{H} \mathrm{H}}}$ (right). Events from all categories are combined. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty is shown as the hatched band. The lower panels of each plot show the ratio of the data to the fit result. |
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Figure 4-b:
The post-fit model compared to data in the top CR (upper plots) and non-top CR (lower plots), projected into ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ (left) and ${m_{\mathrm{H} \mathrm{H}}}$ (right). Events from all categories are combined. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty is shown as the hatched band. The lower panels of each plot show the ratio of the data to the fit result. |
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Figure 4-c:
The post-fit model compared to data in the top CR (upper plots) and non-top CR (lower plots), projected into ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ (left) and ${m_{\mathrm{H} \mathrm{H}}}$ (right). Events from all categories are combined. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty is shown as the hatched band. The lower panels of each plot show the ratio of the data to the fit result. |
png pdf |
Figure 4-d:
The post-fit model compared to data in the top CR (upper plots) and non-top CR (lower plots), projected into ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ (left) and ${m_{\mathrm{H} \mathrm{H}}}$ (right). Events from all categories are combined. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty is shown as the hatched band. The lower panels of each plot show the ratio of the data to the fit result. |
png pdf |
Figure 5:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-a:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-b:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-c:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-d:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-e:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-f:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-g:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-h:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
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Figure 5-i:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
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Figure 5-j:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 5-k:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
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Figure 5-l:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{b} \mathrm{\bar{b}}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-a:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-b:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-c:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-d:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-e:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-f:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-g:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-h:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-i:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-j:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-k:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 6-l:
The background-only 2D fit result compared to data projected onto the ${m_{\mathrm{H} \mathrm{H}}}$ axis for both the SL and DL channels. The label for each search category is in the upper left of each plot. The fit result is the filled histogram, with the different colors indicating different background components. The background shape uncertainty from the fit is shown as the hatched band. Example spin-0 signal distributions for $ {m_{\mathrm{X}}} = $ 1.0 and 3.0 TeV are shown as solid lines, with $\sigma \mathcal {B} (\mathrm{X} \to {\mathrm{H} \mathrm{H}})$ set to 0.2 and 0.1 pb for the SL and DL channels, respectively. The lower panels of each plot show the ratio of the data to the fit result. Only nonzero data entries are shown in the interest of clarity. |
png pdf |
Figure 7:
Observed and expected 95% CL upper limits on the product of the cross section and branching fraction to HH for a generic spin-0 (left) and spin-2 (right) boson X, as functions of mass. Example radion and bulk graviton predictions are also shown. The HH branching fraction is assumed to be 25% for radions and 10% for bulk gravitons. |
png pdf |
Figure 7-a:
Observed and expected 95% CL upper limits on the product of the cross section and branching fraction to HH for a generic spin-0 (left) and spin-2 (right) boson X, as functions of mass. Example radion and bulk graviton predictions are also shown. The HH branching fraction is assumed to be 25% for radions and 10% for bulk gravitons. |
png pdf |
Figure 7-b:
Observed and expected 95% CL upper limits on the product of the cross section and branching fraction to HH for a generic spin-0 (left) and spin-2 (right) boson X, as functions of mass. Example radion and bulk graviton predictions are also shown. The HH branching fraction is assumed to be 25% for radions and 10% for bulk gravitons. |
png pdf |
Figure 8:
Median expected upper limits at 95% confidence level for each of the 12 search categories individually. |
| Tables | |
png pdf |
Table 1:
The SL channel event categorization and corresponding category labels. All combinations of the two lepton flavors, two $\mathrm{b} \mathrm{\bar{b}}$ jet tagging, and two ${\mathrm{H} \to \mathrm{W} \mathrm{W} ^*}$ decay purity selections are used to form eight independent event categories. The lower ${\tau _{2}/\tau _{1}}$ working point is 0.55 (0.45) in 2016 (2017-2018). |
png pdf |
Table 2:
The DL channel event categorization and corresponding category labels. All combinations of the two lepton flavors and two $\mathrm{b} \mathrm{\bar{b}}$ jet tagging selections are used to form four independent event categories. |
png pdf |
Table 3:
Efficiencies of each selection criterion in the SL channel with the rest of the full selection applied. The efficiencies for the total expected SM background and signals at 1.0 and 3.0 TeV are shown. |
png pdf |
Table 4:
Efficiencies of each selection criterion in the DL channel with the rest of the full selection applied. The efficiencies for the total expected SM background and signals at 1.0 and 3.0 TeV are shown. |
png pdf |
Table 5:
The four background components with their kinematical properties and defining number of generator-level quarks within $ {\Delta R} < $ 0.8 of the $\mathrm{b} \mathrm{\bar{b}}$ jet axis. |
png pdf |
Table 6:
Background systematic uncertainties included in the maximum likelihood fit. The uncertainty types with "normalization" correspond to uncertainties in the background yield, while all others are uncertainties in the background shape. The $N_{\text {p}}$ column indicates the number of nuisance parameters used to model the uncertainty. In the last two columns, $\sigma _{\text {I}}$ refers to the initial estimate of the uncertainty, and $\sigma _{\text {C}}$ refers to the constrained uncertainty obtained post-fit. For the q/g, ${\mathrm{t} \mathrm{\bar{t}}}$, and lost-t/W shape uncertainties, "scale'' uncertainties are those implemented with alternative templates with multiplicative parameters proportional to mass $m$, and "inverse scale'' uncertainties are those implemented with parameters proportional to $1/m$. |
png pdf |
Table 7:
Signal systematic uncertainties included in the maximum likelihood fit. The $N_{\text {p}}$ column indicates the number of nuisance parameters used to model the uncertainty. In the "Uncertainty values'' column, some uncertainties are noted as affecting both the yield ($Y$) and ${m_{\mathrm{H} \mathrm{H}}}$ shape ($S$ for scale, $R$ for resolution) of the signal. All other uncertainties, except the SD jet mass uncertainties, are uncertainties in the signal yield alone. |
png pdf |
Table 8:
Event yields broken down by search category. For each category, shown are the event yields observed in data, expected before and after a fit of the background-only model, and the corresponding relative uncertainty. |
| Summary |
| A search has been performed for new bosons (narrow resonances) decaying to a pair of Higgs bosons (HH) where one decays into a bottom quark pair ($\mathrm{b\bar{b}}$) and the other via one of three different modes into final states with leptons. The large Lorentz boost of the Higgs bosons produces a distinct experimental signature with one jet that has substructure consistent with the decay H $ \to $ $\mathrm{b\bar{b}}$. For the Higgs boson that does not decay to $\mathrm{b\bar{b}}$, the single-lepton decay H $ \to $ WW* $\to {\ell} \nu $qq' and the dilepton decays H $ \to $ WW* $\to{\ell} \nu{\ell} \nu $ and H $ \to $ ${\tau\tau \to{\ell} \nu\nu{\ell} \nu\nu} $ are considered. In the single-lepton channel, the experimental signature is characterized by a second large jet with a nearby lepton, which is consistent with the decay of H $ \to $ WW*. In the dilepton channel, the experimental signature contains two leptons and significant missing transverse momentum. This search uses a sample of proton-proton collisions at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$, collected by the CMS detector at the LHC. The primary standard model backgrounds--production of top quark pairs and of vector bosons in association with jets--are suppressed by reconstructing the HH decay chain and applying selections to discriminate signal from background. The signal and background yields are estimated by a two-dimensional template fit in the plane of the ${\mathrm{b\bar{b}} \text{jet}}$ mass and the HH resonance mass. The templates are validated in a variety of data control regions and are shown to model the data well. The data are consistent with the expected standard model background. Upper limits are set on the product of the cross section and branching fraction for new bosons decaying toHH. The observed limit at 95% confidence level for a spin-0 (spin-2) boson ranges from 24.5 (16.7) fb at 0.8 TeV to 0.78 (0.67) fb at 4.5 TeV. The results of this search provide the most stringent exclusion limits to date for X $ \to $ HH signatures with leptons in the final state and are among the most stringent of all X $ \to $ HH searches, at certain mass points the most sensitive. |
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