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CMS-HIG-23-006 ; CERN-EP-2024-145
Constraints on the Higgs boson self-coupling with combination of single and double Higgs boson production
Submitted to Phys. Lett. B
Abstract: A combination of Higgs boson (H) measurements and searches for the production of Higgs boson pairs (HH) is presented, aiming to constrain the H trilinear self-coupling $ \lambda_3 $, using the proton-proton collision data collected by the CMS experiment at $ \sqrt{s} = $ 13 TeV. The cross sections of the main H production modes and the branching ratios of the principal decay channels depend on $ \lambda_3 $ because of next-to-leading-order electroweak corrections. The cross sections of the HH production via gluon fusion and via vector boson fusion depend on $ \lambda_3 $ as well as on the H couplings to the top quark, and to vector bosons, respectively. The combination of event categories enriched in single-H and HH events allows the extraction of constraints on $ \kappa_\lambda $, defined as the value of $ \lambda_3 $ normalized to its standard model prediction, with fewer assumptions on the H couplings to the fermions and vector bosons. Values of $ \kappa_\lambda $ outside the interval $ -1.2 < \kappa_\lambda < 7.5 $ are excluded at 95.4% confidence level, which is compatible with the expected range of $ -2.0 < \kappa_\lambda < 7.7 $ under the assumption that all the other H couplings are equal to their standard model predicted values.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Observed profiled likelihood scans of $ \kappa_\lambda $ comparing the full combination of single-H and HH (orange) to the combinations of only single-H (blue) or only HH (green) channels.

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Figure 2:
Observed two-dimensional likelihood scans of $ (\kappa_\lambda, k_{\mathrm{T}}) $ comparing the full combination of single-H and HH (orange) to the combinations of only single-H (blue) or only HH (green) channels.

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Figure 3:
Observed two-dimensional likelihood scans of $ (\kappa_\mathrm{V}, \kappa_{2\mathrm{V}}) $ comparing the full combination of single-H and HH (orange) to the combinations of only single-H (blue) or only HH (green) channels. The best fit point for the single-H combination can not be calculated because this combination has no sensitivity on the $ \kappa_{2\mathrm{V}} $ parameter.

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Figure 4:
Observed likelihood scans of $ \kappa_\lambda $ assuming $ \kappa_\mathrm{V} $, $ \kappa_{2\mathrm{V}} $, $ k_{\mathrm{T}} $, $ \kappa_\mathrm{b} $, $ \kappa_\tau $, and $ \kappa_\mu $ as unconstrained nuisance parameters.
Tables

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Table 1:
Analyses targeting single-H production modes and decay channels included in the combination and the corresponding data set size, in terms of integrated luminosity. The maximum phase space granularity of each cross section measurement is also reported.

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Table 2:
Analyses targeting HH searches included in this combination and the corresponding HH production modes targeted with dedicated categories.

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Table 3:
Expected and observed constraints on $ \kappa_\lambda $ at 95.4% confidence levels and best fit values from the combination of the single-H and HH channels under different assumptions on the Higgs boson couplings to fermions and vector bosons.
Summary
The combination of single Higgs boson (H) measurements and searches for Higgs boson pair production (HH) to constrain the Higgs boson trilinear self-coupling, is presented in this document. Proton-proton collision data at $ \sqrt{s} = $ 13 TeV, collected by the CMS experiment between 2016 and 2018, were analyzed. This is the first combination of single-H and HH channels at the CMS experiment. The complementarity of the constraints on the Higgs boson couplings of the single-H and HH channels is exploited in the combination. The inclusion of the single-H channels improves the constraints on $ \kappa_\lambda $ under minimal assumptions on the Higgs boson couplings to fermions and vector bosons. The observed (expected) confidence interval at 95.4% on $ \kappa_\lambda $ assuming the other Higgs boson couplings fixed to the SM prediction, is found to be $ -1.2 < \kappa_\lambda < 7.5 $ ($ -2.0 < \kappa_\lambda < 7.7 $). Under minimal assumptions on the Higgs boson couplings to fermions and vector bosons, the observed (expected) exclusion interval at 95.4% on $ \kappa_\lambda $ is $ -2.3 < \kappa_\lambda < 7.8 $ ($ -1.4 < \kappa_\lambda < 7.8 $).
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