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CMS-HIG-20-005 ; CERN-EP-2022-004
Search for Higgs boson pair production in the four b quark final state in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Phys. Rev. Lett. 129 (2022) 081802
Abstract: A search for pairs of Higgs bosons produced via gluon and vector boson fusion is presented, focusing on the four b quark final state. The data sample consists of proton-proton collisions at a center-of-mass energy of 13 TeV, collected with the CMS detector at the LHC, and corresponds to an integrated luminosity of 138 fb$^{-1}$. No deviation from the background-only hypothesis is observed. A 95% confidence level upper limit on the Higgs boson pair production cross section is observed at 3.9 times the standard model prediction for an expected value of 7.8. Constraints are also set on the modifiers of the Higgs field self-coupling, ${\kappa_{\lambda}} $, and of the coupling of two Higgs bosons to two vector bosons, ${\kappa_\text{2V}} $. The observed (expected) allowed intervals at the 95% confidence level are $-$2.3 $ < {\kappa_{\lambda}} < $ 9.4 ($-$5.0 $ < {\kappa_{\lambda}} < $ 12.0) and $-$0.1 $ < {\kappa_\text{2V}} < $ 2.2 ($-$0.4 $< {\kappa_\text{2V}} < $ 2.5). These are the most stringent observed constraints to date on the HH production cross section and on the ${\kappa_\text{2V}}$ coupling.
Figures Summary References CMS Publications
Figures

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Figure 1:
Distributions of the events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region for 2016 (top) and 2017-2018 (bottom) data. The two leftmost columns show the BDT output in the low- and high-mass categories, and the rightmost column shows the $m_{{{\mathrm {H}} {\mathrm {H}}}}$ distribution in the VBF SM-like category.

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Figure 1-a:
BDT output for events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region in the low-mass category, for 2016 data.

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Figure 1-b:
BDT output for events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region in the high-mass category, for 2016 data.

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Figure 1-c:
$m_{{{\mathrm {H}} {\mathrm {H}}}}$ distribution of events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region in the VBF SM-like category, for 2016 data.

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Figure 1-d:
BDT output for events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region in the low-mass category, for 2017-2018 data.

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Figure 1-e:
BDT output for events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region in the high-mass category, for 2017-2018 data.

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Figure 1-f:
$m_{{{\mathrm {H}} {\mathrm {H}}}}$ distribution of events observed in the ${A_\text {SR}^{4 {\mathrm {b}}}}$ signal region in the VBF SM-like category, for 2017-2018 data.

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Figure 2:
Observed and expected 95% CL upper limits on cross section as a function of ${\kappa _{\lambda}}$ (left) and ${\kappa _\text {2V}}$ (right). The green (yellow) band indicate the regions containing 68% (95%) of the limit values expected under the background-only hypothesis. The red lines denote the theoretical cross section expectation assuming that other couplings are set to the SM prediction. For the cross section limit as function of ${\kappa _\text {2V}}$, the ggF HH production is assumed to correspond to the SM prediction.

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Figure 2-a:
Observed and expected 95% CL upper limits on cross section as a function of ${\kappa _{\lambda}}$. The green (yellow) band indicate the regions containing 68% (95%) of the limit values expected under the background-only hypothesis. The red lines denote the theoretical cross section expectation assuming that other couplings are set to the SM prediction.

png pdf
Figure 2-b:
Observed and expected 95% CL upper limits on cross section as a function of ${\kappa _\text {2V}}$. The green (yellow) band indicate the regions containing 68% (95%) of the limit values expected under the background-only hypothesis. The red lines denote the theoretical cross section expectation assuming that other couplings are set to the SM prediction. The ggF HH production is assumed to correspond to the SM prediction.
Summary
In summary, a search for the production of Higgs boson pairs via gluon and vector boson fusion in the four b quarks decay channel has been presented. The data are found to be statistically compatible with the background-only hypothesis, and an observed (expected) upper limit at the 95% confidence level is set to 3.9 (7.8) times the SM prediction for the combined ggF and VBF HH cross section. The value of the Higgs boson self-coupling, normalized to the SM expectation, is observed (expected) to be in the range $-$2.3 $< \kappa_{\lambda} < $ 9.4 ($-$5.0 $ < \kappa_{\lambda} < $ 12.0), and the value of the coupling of Higgs boson pairs to vector boson pairs, normalized to the SM expectation, to be in the range $-$0.1 $ < {\kappa_\text{2V}} < $ 2.2 ($-$0.4 $< {\kappa_\text{2V}} < $ 2.5). These are the most stringent observed constraints to date on the HH production cross sections and on the ${\kappa_\text{2V}}$ coupling.
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