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| CMS-PAS-B2G-22-003 | ||
| Nonresonant pair production of highly energetic Higgs bosons decaying to bottom quarks | ||
| CMS Collaboration | ||
| March 2022 | ||
| Abstract: A search for nonresonant Higgs boson (H) pair production via gluon and vector boson (V) fusion is performed in the final state where each H decays to a bottom quark-antiquark pair, using 138 fb$^{-1}$ of proton-proton collision data collected by the CMS experiment at $\sqrt{s}=$ 13 TeV. The analysis targets highly Lorentz-boosted H jets identified using a graph neural network classifier. The total HH production cross section is observed (expected) to be smaller than 9.9 (5.1) relative to the standard model (SM) prediction. The search also yields constraints on the coupling strengths relative to the SM of the H self-coupling, $\kappa_\lambda \in $ [$-$9.9, 16.9], the trilinear VVH coupling, $\kappa_\mathrm{V} \in $ [$-$1.17, $-$0.79] $\cup$ [0.81, 1.18], and the quartic VVHH coupling, $\kappa_\mathrm{2V} \in$ [0.62, 1.41], at 95% confidence level, excluding $\kappa_\mathrm{2V} = $ 0 for the first time, when other H couplings are fixed to their SM values. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to PRL. The superseded preliminary plots can be found here. |
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| Figures | |
png pdf |
Figure 1:
The data and fitted signal and background distributions for the $ {D_{\mathrm{b} {}\mathrm{\bar{b}}}} $-subleading jet regressed mass are shown for the ggF BDT event categories 1 (top), 2 (lower left), and 3 (lower right). The SM HH ($ {\kappa _{2{\mathrm{V}}}} = {\kappa _{\mathrm{V}}} = {\kappa _\lambda} =$ 1) signal is shown scaled to the best fit signal strength $\mu =$ 3.5. The lower panel shows ratio of the data and the total prediction, with its uncertainty represented by the hatched fill. The data points are represented with their data statistical uncertainty. |
png pdf |
Figure 1-a:
The data and fitted signal and background distributions for the $ {D_{\mathrm{b} {}\mathrm{\bar{b}}}} $-subleading jet regressed mass are shown for the ggF BDT event categories 1 (top), 2 (lower left), and 3 (lower right). The SM HH ($ {\kappa _{2{\mathrm{V}}}} = {\kappa _{\mathrm{V}}} = {\kappa _\lambda} =$ 1) signal is shown scaled to the best fit signal strength $\mu =$ 3.5. The lower panel shows ratio of the data and the total prediction, with its uncertainty represented by the hatched fill. The data points are represented with their data statistical uncertainty. |
png pdf |
Figure 1-b:
The data and fitted signal and background distributions for the $ {D_{\mathrm{b} {}\mathrm{\bar{b}}}} $-subleading jet regressed mass are shown for the ggF BDT event categories 1 (top), 2 (lower left), and 3 (lower right). The SM HH ($ {\kappa _{2{\mathrm{V}}}} = {\kappa _{\mathrm{V}}} = {\kappa _\lambda} =$ 1) signal is shown scaled to the best fit signal strength $\mu =$ 3.5. The lower panel shows ratio of the data and the total prediction, with its uncertainty represented by the hatched fill. The data points are represented with their data statistical uncertainty. |
png pdf |
Figure 1-c:
The data and fitted signal and background distributions for the $ {D_{\mathrm{b} {}\mathrm{\bar{b}}}} $-subleading jet regressed mass are shown for the ggF BDT event categories 1 (top), 2 (lower left), and 3 (lower right). The SM HH ($ {\kappa _{2{\mathrm{V}}}} = {\kappa _{\mathrm{V}}} = {\kappa _\lambda} =$ 1) signal is shown scaled to the best fit signal strength $\mu =$ 3.5. The lower panel shows ratio of the data and the total prediction, with its uncertainty represented by the hatched fill. The data points are represented with their data statistical uncertainty. |
png pdf |
Figure 2:
The distributions of the invariant mass of the HH system after a background-only fit to the data, for the VBF low-purity, medium-purity, and high-purity categories. The VBF signal for $ {\kappa _{2{\mathrm{V}}}} =$ 0, $ {\kappa _{\mathrm{V}}} = {\kappa _\lambda} =$ 1, is shown in red with the vertical error bar indicating the prefit uncertainty. The lower panel shows ratio of the data and the total background prediction, with its uncertainty represented by the hatched fill. The data points are represented with their data statistical uncertainty. |
png pdf |
Figure 3:
Two-parameter profile likelihood test statistic ($-2\Delta \ln\mathcal {L}$) scan in data as a function of ${\kappa _\lambda}$ and ${\kappa _{2{\mathrm{V}}}}$ (left) and ${\kappa _{2{\mathrm{V}}}}$ and ${\kappa _{\mathrm{V}}}$ (right). The black cross marks the minimum, while the red diamond marks the SM expectation. The gray solid, dashed, dotted, and dash-dotted contours enclose the 1, 2, 3, and 5$\sigma $ CL regions, respectively. |
png pdf |
Figure 3-a:
Two-parameter profile likelihood test statistic ($-2\Delta \ln\mathcal {L}$) scan in data as a function of ${\kappa _\lambda}$ and ${\kappa _{2{\mathrm{V}}}}$ (left) and ${\kappa _{2{\mathrm{V}}}}$ and ${\kappa _{\mathrm{V}}}$ (right). The black cross marks the minimum, while the red diamond marks the SM expectation. The gray solid, dashed, dotted, and dash-dotted contours enclose the 1, 2, 3, and 5$\sigma $ CL regions, respectively. |
png pdf |
Figure 3-b:
Two-parameter profile likelihood test statistic ($-2\Delta \ln\mathcal {L}$) scan in data as a function of ${\kappa _\lambda}$ and ${\kappa _{2{\mathrm{V}}}}$ (left) and ${\kappa _{2{\mathrm{V}}}}$ and ${\kappa _{\mathrm{V}}}$ (right). The black cross marks the minimum, while the red diamond marks the SM expectation. The gray solid, dashed, dotted, and dash-dotted contours enclose the 1, 2, 3, and 5$\sigma $ CL regions, respectively. |
png pdf |
Figure 4:
Expected and observed 95% CL upper limits on HH production with respect to the SM expectation in the individual ggF and VBF search categories and their combination. |
png pdf |
Figure 5:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the inclusive HH production cross section and the branching fraction into ${\mathrm{b} {}\mathrm{\bar{b}} \mathrm{b} {}\mathrm{\bar{b}}}$ as a function of ${\kappa _\lambda}$ (upper), ${\kappa _{2{\mathrm{V}}}}$ (lower left), and ${\kappa _{\mathrm{V}}}$ (lower right) is shown with other couplings fixed to the SM values. The green and yellow bands correspond to one and two standard deviations, respectively, around the median expected limit. The red solid line depicts the theoretical prediction for the HH production cross section and the red band shows its uncertainty [45,91,46,92,93,94,95,96,97,98]. The crossings of the observed limit and the theoretical cross section indicate the ranges of the coupling values excluded at 95% CL. |
png pdf |
Figure 5-a:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the inclusive HH production cross section and the branching fraction into ${\mathrm{b} {}\mathrm{\bar{b}} \mathrm{b} {}\mathrm{\bar{b}}}$ as a function of ${\kappa _\lambda}$ (upper), ${\kappa _{2{\mathrm{V}}}}$ (lower left), and ${\kappa _{\mathrm{V}}}$ (lower right) is shown with other couplings fixed to the SM values. The green and yellow bands correspond to one and two standard deviations, respectively, around the median expected limit. The red solid line depicts the theoretical prediction for the HH production cross section and the red band shows its uncertainty [45,91,46,92,93,94,95,96,97,98]. The crossings of the observed limit and the theoretical cross section indicate the ranges of the coupling values excluded at 95% CL. |
png pdf |
Figure 5-b:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the inclusive HH production cross section and the branching fraction into ${\mathrm{b} {}\mathrm{\bar{b}} \mathrm{b} {}\mathrm{\bar{b}}}$ as a function of ${\kappa _\lambda}$ (upper), ${\kappa _{2{\mathrm{V}}}}$ (lower left), and ${\kappa _{\mathrm{V}}}$ (lower right) is shown with other couplings fixed to the SM values. The green and yellow bands correspond to one and two standard deviations, respectively, around the median expected limit. The red solid line depicts the theoretical prediction for the HH production cross section and the red band shows its uncertainty [45,91,46,92,93,94,95,96,97,98]. The crossings of the observed limit and the theoretical cross section indicate the ranges of the coupling values excluded at 95% CL. |
png pdf |
Figure 5-c:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the inclusive HH production cross section and the branching fraction into ${\mathrm{b} {}\mathrm{\bar{b}} \mathrm{b} {}\mathrm{\bar{b}}}$ as a function of ${\kappa _\lambda}$ (upper), ${\kappa _{2{\mathrm{V}}}}$ (lower left), and ${\kappa _{\mathrm{V}}}$ (lower right) is shown with other couplings fixed to the SM values. The green and yellow bands correspond to one and two standard deviations, respectively, around the median expected limit. The red solid line depicts the theoretical prediction for the HH production cross section and the red band shows its uncertainty [45,91,46,92,93,94,95,96,97,98]. The crossings of the observed limit and the theoretical cross section indicate the ranges of the coupling values excluded at 95% CL. |
| Summary |
| In summary, a search for nonresonant Higgs boson (H) pair production via gluon fusion and vector boson ($\mathrm{V}$) fusion in the final state with two bottom quark-antiquark ($\mathrm{b\bar{b}}$) pairs has been presented. The search focuses on the phase space region where both Hs are highly Lorentz-boosted so that each H decay can be reconstructed as a large-radius jet. The analysis is the first to apply a novel algorithm based on graph neural networks to identify the jets that correspond to ${\mathrm{H}\to\mathrm{b\bar{b}}}$ decays. The data are found to agree with the background-only hypothesis, and an observed (expected) upper limit at the 95% confidence level is set to 9.9 (5.1) relative to the standard model (SM) cross section. This represents a factor of 30 improvement over the previous best search for a pair of boosted ${\mathrm{H}\to\mathrm{b\bar{b}}}$ jets [80]. Upper limits on the production cross section are presented as a function of the coupling modifier parameters$ {\kappa_\lambda} $, ${\kappa_{2\mathrm{V}}} $, and ${\kappa_\mathrm{V}} $, which parametrize the strengths of the H self-coupling, the quartic VVHH coupling, and the trilinear $\mathrm{V}\mathrm{V}\mathrm{H}$ coupling, respectively, relative to their SM values. The values of ${\kappa_\lambda} $, ${\kappa_{2\mathrm{V}}} $, and ${\kappa_\mathrm{V}}$ are observed (expected) to be in the ranges [$-$9.9, 16.9] ([$-$5.1, 12.2]), [0.62, 1.41] ([0.66, 1.37]), and [$-$1.17, $-$0.79] $ \cup $ [0.81, 1.18] ([$-$1.17, $-$0.79] $ \cup$ [0.80, 1.18]), when all H couplings except the one being scanned are assumed equal to their SM values. In particular, the search excludes ${\kappa_{2\mathrm{V}}} = 0$ for the first time with a significance of 6.3 standard deviations when ${\kappa_\lambda} ={\kappa_{\mathrm{t}}} ={\kappa_\mathrm{V}} =$ 1. |
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