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CMS-PAS-HIG-16-029
Search for resonant Higgs boson pair production in the $\mathrm{b\overline{b}}\tau^+\tau^-$ final state using 2016 data
Abstract: A search for resonant Higgs boson pair production in proton-proton collisions in the $\mathrm{b\overline{b}}\tau^+\tau^-$ final state is presented. The existence of a new heavy scalar boson H, which decays into a pair of the known h boson, is assumed. The search for ${\mathrm{pp} \to \mathrm{H} \to \mathrm{hh} \to \mathrm{b\overline{b}}\tau^+\tau^-}$ is performed using three $\tau\tau$ final states, $e\tau_{h}$, $\mu\tau_{h}$, and $\tau_{h}\tau_{h}$, where $\tau_{h}$ indicates a $\tau$ lepton decay involving hadrons. The analysis uses proton-proton collision data collected with the CMS detector at the LHC in 2016 at a centre-of-mass energy of 13 TeV and corresponding to an integrated luminosity of 12.9 fb$^{-1}$.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plots are shown for (a)-(d)-(g) $\mu \tau _{\rm h}$, (b)-(e)-(h) $e\tau _{\rm h}$, and (c)-(f) $\tau _{\rm h}\tau _{\rm h}$ final states and for the three categories: resolved 1jet-1b (first row), resolved 2b (second row), and boosted (third row). In the boosted $\tau _{\rm h}\tau _{\rm h}$ category a counting experiment is performed and the plot is not shown. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-a:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $ \mu \tau _{\rm h} $ and for the resolved 1jet-1b category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-b:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $e\tau _{\rm h}$ final state and for the resolved 1jet-1b category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-c:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $\tau _{\rm h}\tau _{\rm h}$ final state and for the resolved 1jet-1b category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-d:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $\mu \tau _{\rm h}$ and for the resolved 2b category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-e:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $e\tau _{\rm h}$ final state and for the resolved 2b category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-f:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $\tau _{\rm h}\tau _{\rm h}$ final state and for the resolved 2b category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-g:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $\mu \tau _{\rm h}$ final state and for the boosted category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 1-h:
Distributions of the four-body mass reconstructed with the kinematic fit after applying the event selections. The plot is shown for the $e \tau _{\rm h}$ and for the boosted category. Points with error bars represent the data and shaded histograms represent the backgrounds. The black, red, and blue unshaded histograms are the signal expectations for $m_{\rm H}= $ 300 GeV, $m_{\rm H}= $ 550 GeV, and $m_{\rm H}= $ 800 GeV. The signal expectations are plotted for a value of $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} )$ of 1pb in the resolved categories and 0.5 pb in the boosted categories. Event yields in each bin are divided by the bin width. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked.

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Figure 2:
Observed and expected 95% CL upper limits on ${\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} \to {\rm bb} \tau \tau )}$ as a function of the mass of the resonance $m_{\rm H}$ and combining the resolved and boosted categories. (a) bb $\mu \tau _{\rm h}$ (b) bb $e\tau _{\rm h}$ (c) bb $\tau _{\rm h}\tau _{\rm h}$.

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Figure 2-a:
Observed and expected 95% CL upper limits on ${\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} \to {\rm bb} \tau \tau )}$ as a function of the mass of the resonance $m_{\rm H}$ and combining the resolved and boosted categories: bb $\mu \tau _{\rm h}$ channel.

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Figure 2-b:
Observed and expected 95% CL upper limits on ${\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} \to {\rm bb} \tau \tau )}$ as a function of the mass of the resonance $m_{\rm H}$ and combining the resolved and boosted categories: bb $e\tau _{\rm h}$ channel.

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Figure 2-c:
Observed and expected 95% CL upper limits on ${\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} \to {\rm bb} \tau \tau )}$ as a function of the mass of the resonance $m_{\rm H}$ and combining the resolved and boosted categories: $\tau _{\rm h}\tau _{\rm h}$ channel.

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Figure 3:
Observed and expected 95% CL upper limits on ${\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} \to {\rm bb} \tau \tau )}$ from the combination of the three channels as a function of the mass of the resonance $m_{\rm H}$.
Tables

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Table 1:
Lists of the systematic uncertainties affecting the normalization of the different processes.

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Table 2:
Observed and expected event yields in different final states for the resolved 1jet-1b category. Quoted uncertainties represent the combination of statistical plus systematic uncertainties. The signal expected yields are for $\sigma ({\rm pp} \rightarrow {\rm H}) \times {\rm BR} ({\rm H} \rightarrow {\rm hh} \rightarrow {\rm bb}\tau \tau ) = $ 10 pb.

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Table 3:
Observed and expected event yields in different final states for the resolved 2b category. Quoted uncertainties represent the combination of statistical plus systematic uncertainties. The signal expected yields are for $\sigma ({\rm pp} \rightarrow {\rm H}) \times {\rm BR} ({\rm H} \rightarrow {\rm hh} \rightarrow {\rm bb}\tau \tau ) = $ 10 pb.

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Table 4:
Observed and expected event yields in different final states for the boosted category. Quoted uncertainties represent the combination of statistical plus systematic uncertainties. The signal expected yields are for $\sigma ({\rm pp} \rightarrow {\rm H}) \times {\rm BR} ({\rm H} \rightarrow {\rm hh} \rightarrow {\rm bb}\tau \tau ) = $ 10 pb.

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Table 5:
Observed and expected 95% CL upper limits on $\sigma ({\rm pp} \to {\rm H} ) \times {\rm BR} ({\rm H} \to {\rm hh} \to {\rm bb} \tau \tau )$ for the combination of the three b-jet categories for the $\mu \tau _{\rm h}$, $e\tau _{\rm h}$, and $\tau _{\rm h}\tau _{\rm h}$ final states and their combination.
Summary
A search for resonant Higgs boson pair production in the bb$\tau\tau$ final state with the data collected by the CMS experiment in 2016 at $\sqrt{s} =$ 13 TeV, and corresponding to an integrated luminosity of 12.9 fb$^{-1}$, is presented. The search is performed using the three most sensitive decay channels of the $\tau$ lepton pair, $e\tau_{\rm h}, \mu\tau_{\rm h}, \tau_{\rm h}\tau_{\rm h}$, where $\tau_{\rm h}$ indicates a tau decay involving hadrons. No excess over the SM background prediction is observed and model independent upper limits on the values of the cross section times branching ratio are derived for different signal mass hypotheses between 250 and 900 GeV. These are currently the best limits on Higgs boson pair production in the high mass range considered for this analysis and substantially improve the sensitivity with respect to the previous analysis.
Additional Figures

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Additional Figure 1:
(a)-(c)-(e) distributions of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm, (b)-(d) distributions of the invariant mass of the bb pair, and (f) distribution of the invariant mass of the ak8 jet. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. (a)-(b) resolved 1b-1jet $\mu \tau _{\rm h}$ category, (c)-(d) resolved 2b $\mu \tau _{\rm h}$ category, and (e)-(f) boosted $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 1-a:
Distribution of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm for the resolved 1b-1jet $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 1-b:
Distribution of the invariant mass of the bb pair for the resolved 1b-1jet $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 1-c:
Distribution of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm for the resolved 2b $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 1-d:
Distribution of the invariant mass of the bb pair for the resolved 2b $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 1-e:
Distribution of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm for the boosted $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 1-f:
Distribution of the invariant mass of the ak8 jet for the boosted $\mu \tau _{\rm h}$ category. Points with error bars represent the data and shaded histograms represent the backgrounds. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. The blue, black, and red lines denote respectively the signal hypothesis of 800, 550, and 300 GeV, and are scaled to a production cross section of the hh pair of 10 pb. Expected background contributions are shown for the values of nuisance parameters (systematic uncertainties) obtained after fitting the background-only hypothesis to the data. Signal and background histograms are not stacked. The bottom panel shows the ratio of the observed data to the simulation prediction.

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Additional Figure 2:
Comparison of the observed (solid lines) and expected (dashed lines) 95% CL upper limits on $\sigma ({\rm gg\rightarrow {\rm hh}})$ from the analyses currently performed by the CMS collaboration using the data collected ad $ \sqrt{s} = $ 13 TeV. Orange: ${\rm hh} \rightarrow {\rm bb}{\rm l}\nu _{\rm l} {\rm l}\nu _{\rm l}$ (CMS-PAS-HIG-16-011). Red: ${{\rm hh} \rightarrow {\rm bbbb}}$ (CMS-PAS-HIG-16-002). Blue: ${\rm hh} \rightarrow {\rm bb}\tau \tau $ (this analyis).
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LHC, CERN