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| CMS-PAS-HIG-16-028 | ||
| Search for non-resonant Higgs boson pair production in the $\mathrm{b\overline{b}}\tau^+\tau^-$ final state using 2016 data | ||
| CMS Collaboration | ||
| August 2016 | ||
| Abstract: A search for non-resonant Higgs boson pair production in the $\mathrm{b\overline{b}}\tau^+\tau^-$ final state is presented. The search is performed using three $\tau\tau$ final states, $e\tau_{\rm h}, \mu\tau_{\rm h}$, and $\tau_{\rm h}\tau_{\rm h}$, where $e$ and $\mu$ indicate a $\tau$ lepton decaying to lighter leptons and $\tau_{\rm h}$ indicates a $\tau$ decay involving hadrons. The analysis uses proton-proton collision data collected in 2016 at 13 TeV and corresponding to an integrated luminosity of 12.9 fb$^{-1}$. | ||
| Links: CDS record (PDF) ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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| Figures | |
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Figure 1:
Output of the BDT discriminator in the bb$\mu \tau _{\rm h}$ channel (a) and bb$e\tau _{\rm h}$ channel (b). Points with error bars represent the data and shaded histograms represent the backgrounds. The black unshaded histogram is the signal expectation for the SM ($k_\lambda = \lambda _{hhh}/\lambda ^{SM}_{hhh} =$ 1) and the blue dashed unshaded histogram is the signal expectation for $k_\lambda = $ 20. The SM production cross section is scaled by a factor 5000 and the $k_\lambda =$ 20 production cross section is scaled by a factor 100. Signal and background histograms are not stacked. The lower panel shows the ratio of the observed data to the MC prediction. |
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Figure 1-a:
Output of the BDT discriminator in the bb$\mu \tau _{\rm h}$ channel. Points with error bars represent the data and shaded histograms represent the backgrounds. The black unshaded histogram is the signal expectation for the SM ($k_\lambda = \lambda _{hhh}/\lambda ^{SM}_{hhh} =$ 1) and the blue dashed unshaded histogram is the signal expectation for $k_\lambda = $ 20. The SM production cross section is scaled by a factor 5000 and the $k_\lambda =$ 20 production cross section is scaled by a factor 100. Signal and background histograms are not stacked. The lower panel shows the ratio of the observed data to the MC prediction. |
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Figure 1-b:
Output of the BDT discriminator in the bb$e\tau _{\rm h}$ channel. Points with error bars represent the data and shaded histograms represent the backgrounds. The black unshaded histogram is the signal expectation for the SM ($k_\lambda = \lambda _{hhh}/\lambda ^{SM}_{hhh} =$ 1) and the blue dashed unshaded histogram is the signal expectation for $k_\lambda = $ 20. The SM production cross section is scaled by a factor 5000 and the $k_\lambda =$ 20 production cross section is scaled by a factor 100. Signal and background histograms are not stacked. The lower panel shows the ratio of the observed data to the MC prediction. |
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Figure 2:
Distributions of the reconstructed visible four-body mass (${\rm m_{hh}}$) after applying the event selection. The plots are shown for (a) bb$\mu \tau _{\rm h}$ , (b) bb$e\tau _{\rm h}$ , and (c) bb$e\tau _{\rm h}$ channels. Points with error bars represent the data, shaded histograms represent the backgrounds, the black unshaded histogram is the signal expectation for the SM ($\lambda _{\rm hhh}/\lambda ^{SM}_{\rm hhh}=1$), and the blue dotted unshaded histogram is the signal expectation for $\lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}=20$. The SM production cross section is scaled by a factor 50. 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 hypothesis to the data. Signal and background histograms are not stacked. |
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Figure 2-a:
Distribution of the reconstructed visible four-body mass (${\rm m_{hh}}$) after applying the event selection for the bb$\mu \tau _{\rm h}$ channel. Points with error bars represent the data, shaded histograms represent the backgrounds, the black unshaded histogram is the signal expectation for the SM ($\lambda _{\rm hhh}/\lambda ^{SM}_{\rm hhh}=1$), and the blue dotted unshaded histogram is the signal expectation for $\lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}= $ 20. The SM production cross section is scaled by a factor 50. 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 hypothesis to the data. Signal and background histograms are not stacked. |
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Figure 2-b:
Distribution of the reconstructed visible four-body mass (${\rm m_{hh}}$) after applying the event selection for the bb$e\tau _{\rm h}$ channel. Points with error bars represent the data, shaded histograms represent the backgrounds, the black unshaded histogram is the signal expectation for the SM ($\lambda _{\rm hhh}/\lambda ^{SM}_{\rm hhh}=1$), and the blue dotted unshaded histogram is the signal expectation for $\lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}= $ 20. The SM production cross section is scaled by a factor 50. 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 hypothesis to the data. Signal and background histograms are not stacked. |
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Figure 2-c:
Distribution of the reconstructed visible four-body mass (${\rm m_{hh}}$) after applying the event selection for the bb$e\tau _{\rm h}$ channel. Points with error bars represent the data, shaded histograms represent the backgrounds, the black unshaded histogram is the signal expectation for the SM ($\lambda _{\rm hhh}/\lambda ^{SM}_{\rm hhh}=1$), and the blue dotted unshaded histogram is the signal expectation for $\lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}= $ 20. The SM production cross section is scaled by a factor 50. 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 hypothesis to the data. Signal and background histograms are not stacked. |
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Figure 3:
Observed and expected 95% CL upper limits on cross section times branching ratio as a function of the ratio of the anomalous trilinear coupling to the SM trilinear coupling (${k_\lambda = \lambda _{\rm hhh}/\lambda ^{SM}_{\rm hhh}}$) combining all the final states. The red band shows the theoretical cross section expectation and its systematic uncertainty |
| Tables | |
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Table 1:
Systematic uncertainties affecting the normalization of the different processes. |
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Table 2:
Observed and expected event yields in different event final states. Quoted uncertainties represent the combination of statistical plus systematic uncertainties. |
| Summary |
| The search for non-resonant Higgs boson pair production in the bb$\tau\tau$ final state with a collected luminosity of 12.9 fb$^{-1}$ at $\sqrt{s} = $ 13 TeV is presented. The search is performed using the three most sensitive decay channels of the $\tau$ leptons, $e\tau_{\rm h}$, $\mu\tau_{\rm h}$, and $\tau_{\rm h}\tau_{\rm h}$, where $\tau_{\rm h}$ indicates a tau decay involving hadrons. For non-resonant Higgs boson pair production at $k_\lambda = $ 1 the observed (expected) 95% CL upper limit on $\sigma({\rm pp \to hh \to bb}\tau\tau)$ amounts to 508 (420) fb. This value corresponds to approximately 200 (170) times the SM prediction. |
| 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 and (b)-(d)-(f) distributions of the invariant mass of the bb pair. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. (a)-(b) bb$\mu \tau _h$ channel, (c)-(d) bb${\rm e}\tau _h$ channel, and (e)-(f) bb$\tau _h\tau _h$ channel. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 1-a:
Distribution of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm: bb$\mu \tau _h$ channel. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 1-b:
Distribution of the invariant mass of the bb pair: bb$\mu \tau _h$ channel. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 1-c:
Distribution of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm: bb${\rm e}\tau _h$ channel. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 1-d:
Distribution of the invariant mass of the bb pair: bb${\rm e}\tau _h$ channel. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 1-e:
Distribution of the invariant mass of the $\tau \tau $ pair reconstructed using the SVfit algorithm: bb$\tau _h\tau _h$ channel. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 1-f:
Distribution of the invariant mass of the bb pair: bb$\tau _h\tau _h$ channel. $\tau \tau $ and bb candidates selections are applied but no selection on the invariant mass is requested. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and is scaled by a factor 100 for the bb$\mu \tau _h$ and bb${\rm e}\tau _h$ channels and by a factor 10 for the bb$\tau _h\tau _h$ channel. Signal and background histograms are not stacked. |
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Additional Figure 2:
Distribution of the input variables of the BDT discriminant. (a) : $\Delta \varphi ({\rm h}_{\rm bb},h_{\tau \tau })$, (b) : $\Delta \varphi ({\rm h}_{\tau \tau }, {E_{\mathrm {T}}^{\text {miss}}} )$, (c) : $\Delta \varphi ({\rm h}_{\rm bb}, {E_{\mathrm {T}}^{\text {miss}}} )$, (d) : $\Delta R(\mu ,\tau _{\rm h})$, and (e) : $\Delta R({\rm b},{\rm b})$ . The distributions are shown for the bb$\mu \tau _{\rm h}$ channel after the candidate selection and before the application of the invariant mass requirement. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and the solid black line is the signal expectation for ${\rm k}_{\lambda } = 1$, and they are scaled respectively by a factor 100 and 5000. 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-a:
Distribution of the $\Delta \varphi ({\rm h}_{\rm bb},h_{\tau \tau })$ input variable of the BDT discriminant. The distributions are shown for the bb$\mu \tau _{\rm h}$ channel after the candidate selection and before the application of the invariant mass requirement. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and the solid black line is the signal expectation for ${\rm k}_{\lambda } = 1$, and they are scaled respectively by a factor 100 and 5000. 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-b:
Distribution of the $\Delta \varphi ({\rm h}_{\tau \tau }, {E_{\mathrm {T}}^{\text {miss}}} )$ input variable of the BDT discriminant. The distributions are shown for the bb$\mu \tau _{\rm h}$ channel after the candidate selection and before the application of the invariant mass requirement. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and the solid black line is the signal expectation for ${\rm k}_{\lambda } = 1$, and they are scaled respectively by a factor 100 and 5000. 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-c:
Distribution of the $\Delta \varphi ({\rm h}_{\rm bb}, {E_{\mathrm {T}}^{\text {miss}}} )$ input variable of the BDT discriminant. The distributions are shown for the bb$\mu \tau _{\rm h}$ channel after the candidate selection and before the application of the invariant mass requirement. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and the solid black line is the signal expectation for ${\rm k}_{\lambda } = 1$, and they are scaled respectively by a factor 100 and 5000. 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-d:
Distribution of the $\Delta R(\mu ,\tau _{\rm h})$ input variable of the BDT discriminant. The distributions are shown for the bb$\mu \tau _{\rm h}$ channel after the candidate selection and before the application of the invariant mass requirement. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and the solid black line is the signal expectation for ${\rm k}_{\lambda } = 1$, and they are scaled respectively by a factor 100 and 5000. 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-e:
Distribution of the $\Delta R({\rm b},{\rm b})$ input variable of the BDT discriminant. The distributions are shown for the bb$\mu \tau _{\rm h}$ channel after the candidate selection and before the application of the invariant mass requirement. Points with error bars represent the data and shaded histograms represent the backgrounds. The dashed blue line is the signal expectation for ${\rm k}_{\lambda } = 20$ and the solid black line is the signal expectation for ${\rm k}_{\lambda } = 1$, and they are scaled respectively by a factor 100 and 5000. 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 3:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio as a function of the ratio of the anomalous trilinear Higgs boson coupling to the SM trilinear Higgs boson coupling (${\rm k}_\lambda = \lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}$). The plots are shown for (a) bb$\mu \tau _{\rm h}$ , (b) bb$e\tau _{\rm h}$ , and (c) bb$\tau _{\rm h}\tau _{\rm h}$ channels. The red band shows the theoretical cross section expectation and its systematic uncertainty. |
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Additional Figure 3-a:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio as a function of the ratio of the anomalous trilinear Higgs boson coupling to the SM trilinear Higgs boson coupling (${\rm k}_\lambda = \lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}$), for the bb$\mu \tau _{\rm h}$ channel. The red band shows the theoretical cross section expectation and its systematic uncertainty. |
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Additional Figure 3-b:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio as a function of the ratio of the anomalous trilinear Higgs boson coupling to the SM trilinear Higgs boson coupling (${\rm k}_\lambda = \lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}$), for the bb$e\tau _{\rm h}$ channel. The red band shows the theoretical cross section expectation and its systematic uncertainty. |
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Additional Figure 3-c:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio as a function of the ratio of the anomalous trilinear Higgs boson coupling to the SM trilinear Higgs boson coupling (${\rm k}_\lambda = \lambda _{\rm hhh}/\lambda ^{\rm SM}_{\rm hhh}$), for the bb$\tau _{\rm h}\tau _{\rm h}$ channel. The red band shows the theoretical cross section expectation and its systematic uncertainty. |
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Additional Figure 4:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio for the 12 shape benchmarks. The plots are shown for (a) bb$\mu \tau _{\rm h}$ , (b) bb$e\tau _{\rm h}$ , and (c) bb$\tau _{\rm h}\tau _{\rm h}$ channels. |
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Additional Figure 4-a:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio for the 12 shape benchmarks, for the bb$\mu \tau _{\rm h}$ channel. |
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Additional Figure 4-b:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio for the 12 shape benchmarks, for the bb$e\tau _{\rm h}$ channel. |
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Additional Figure 4-c:
Observed and expected 95% CL upper limits on the hh cross section times bb$\tau \tau $ branching ratio for the 12 shape benchmarks, for the bb$\tau _{\rm h}\tau _{\rm h}$ channel. |
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Additional Figure 5:
Observed and expected 95% CL upper limits on cross section times branching ratio for the 12 shape benchmarks combining all the final states. |
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Additional Figure 6:
Exclusion of Higgs boson pair production in the EFT parametrization as a function of the coupling modifiers ${\rm k}_{\lambda }$ and ${\rm k}_{\rm t}$, fixing the other EFT parameters to ${c_g = c_{2g} = c_2 = 0}$. Each marker denotes a point in the bidimensional (${\rm k}_{\lambda },{\rm k}_{\rm t}$) plane for which the corresponding prediction has been tested with the available data. Open green semicircles denote points compatible with the current data while red full semicircles denote points excluded with the current data. The two halves of the circles denote the expected and observed exclusion as reported in the plot legend. The diamond shaped marker refers to the prediction of the SM. The dotted lines indicate trajectories in the plane with equal Higgs boson pair production cross section and are labeled with the corresponding value of $\sigma ({\rm gg\rightarrow hh}) \times {\rm BR} ({\rm hh}\rightarrow {\rm bb}\tau \tau )$. |
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