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the sensitivity to the \\ggF \\HH signal. The SM \\HH ($\\kappavv=\\kappav=\\kappalambda=1$) signal is shown scaled to the best fit signal strength $\\mu=3.5$. The lower panel shows the ratio of the data and the total prediction, with its uncertainty represented by the shaded band. The error bars on the data points represent the statistical uncertainties.","filename":"w0_Figure_001.png","material":"preprint"},{"key":"99ec00e2cbc02b72b12a31d99bb21849","url":"https://inspirehep.net/files/99ec00e2cbc02b72b12a31d99bb21849","label":"fig:VBF_fitresult","source":"arxiv","caption":"The distributions of the invariant mass of the \\HH system after a background-only fit to the data, for the VBF low-purity (LP), medium-purity (MP), and high-purity (HP) categories. The VBF signal for $\\kappavv=0$, $\\kappav=\\kappalambda=1$, is shown in red with the vertical error bar indicating the prefit uncertainty. The lower panel shows the ratio of the data and the total background prediction, with its uncertainty represented by the shaded band. The error bars on the data points represent the statistical uncertainties.","filename":"w1_Figure_002.png","material":"preprint"},{"key":"bd1547dbf0616b0f1bc0dff10f025d11","url":"https://inspirehep.net/files/bd1547dbf0616b0f1bc0dff10f025d11","label":"fig:2d","source":"arxiv","caption":"Two-parameter profile likelihood test statistic ($-2\\Delta\\ln\\mathcal{L}$) scan in data as a function of \\kappalambda and \\kappavv. The black cross indicates the minimum, while the red diamond marks the SM expectation ($\\kappalambda = \\kappavv = 1$). The gray solid, dashed, dotted, and dash-dotted contours enclose the 1, 2, 3, and 5\\,$\\sigma$ \\CL regions, respectively.","filename":"w2_Figure_003.png","material":"preprint"}],"license":[{"url":"https://creativecommons.org/licenses/by/4.0/","license":"CC BY 4.0","material":"publication"},{"url":"http://creativecommons.org/licenses/by/4.0/","license":"CC BY 4.0","material":"preprint"}],"texkeys":["CMS:2022gjd","CMS:2023jfu","CMS:2022nmn"],"citeable":true,"imprints":[{"date":"2023-07-25"}],"keywords":[{"value":"p p: scattering","schema":"INSPIRE"},{"value":"p p: colliding beams","schema":"INSPIRE"},{"value":"Higgs particle: pair production","schema":"INSPIRE"},{"value":"boosted particle","schema":"INSPIRE"},{"value":"vector boson: fusion","schema":"INSPIRE"},{"value":"gluon gluon: fusion","schema":"INSPIRE"},{"value":"Higgs particle: coupling","schema":"INSPIRE"},{"value":"coupling constant: upper limit","schema":"INSPIRE"},{"value":"statistical analysis","schema":"INSPIRE"},{"value":"data analysis method","schema":"INSPIRE"},{"value":"experimental results","schema":"INSPIRE"},{"value":"13000 GeV-cms","schema":"INSPIRE"},{"value":"S126K2V","schema":"PDG"},{"value":"S126KLA","schema":"PDG"},{"value":"S126SHH","schema":"PDG"}],"refereed":true,"abstracts":[{"value":"A search for nonresonant Higgs boson ($H$) pair production via gluon and vector boson ($V$) fusion is\nperformed in the four-bottom-quark final state, using proton-proton collision data at 13 TeV corresponding\nto 138 fb$^{−1}$ collected by the CMS experiment at the LHC. The analysis targets Lorentz-boosted $H$ pairs\nidentified using a graph neural network. It constrains the strengths relative to the standard model of the $H$\nself-coupling and the quartic VVHH couplings, $κ_{2V}$, excluding $κ_{2V} = 0$ for the first time, with a\nsignificance of 6.3 standard deviations when other H couplings are fixed to their standard model values."},{"value":"A search for nonresonant Higgs boson (<math display=\"inline\"><mi>H</mi></math>) pair production via gluon and vector boson (<math display=\"inline\"><mi>V</mi></math>) fusion is performed in the four-bottom-quark final state, using proton-proton collision data at 13 TeV corresponding to <math display=\"inline\"><mn>138</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math> collected by the CMS experiment at the LHC. The analysis targets Lorentz-boosted <math display=\"inline\"><mi>H</mi></math> pairs identified using a graph neural network. It constrains the strengths relative to the standard model of the <math display=\"inline\"><mi>H</mi></math> self-coupling and the quartic <math display=\"inline\"><mi>V</mi><mi>V</mi><mi>H</mi><mi>H</mi></math> couplings, <math display=\"inline\"><msub><mi>κ</mi><mrow><mn>2</mn><mi>V</mi></mrow></msub></math>, excluding <math display=\"inline\"><msub><mi>κ</mi><mrow><mn>2</mn><mi>V</mi></mrow></msub><mo>=</mo><mn>0</mn></math> for the first time, with a significance of 6.3 standard deviations when other <math display=\"inline\"><mi>H</mi></math> couplings are fixed to their standard model values."},{"value":"A search for nonresonant Higgs boson (H) pair production via gluon and vector boson (V) fusion is performed in the four-bottom-quark final state, using proton-proton collision data at 13 TeV corresponding to 138 fb$^{-1}$ collected by the CMS experiment at the LHC. The analysis targets Lorentz-boosted H pairs identified using a graph neural network. It constrains the strengths relative to the standard model of the H self-coupling and the quartic VVHH couplings, $\\kappa_{2V}$, excluding $\\kappa_{2V}$ = 0 for the first time, with a significance of 6.3 standard deviations when other H couplings are fixed to their standard model values.","source":"arXiv"}],"copyright":[{"year":2023,"holder":"CERN","material":"publication","statement":"© 2023 CERN, for the CMS Collaboration"}],"references":[{"record":{"$ref":"https://inspirehep.net/api/literature/1124337"},"raw_refs":[{"value":"<ref id=\"c1\"><label>[1]</label><mixed-citation publication-type=\"journal\"><object-id>1</object-id><person-group person-group-type=\"author\"><collab>ATLAS Collaboration</collab></person-group>, <article-title>Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC</article-title>, <source>Phys. Lett. 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