CMS-PAS-HIG-23-012

CMS-PAS-HIG-23-012
Search for highly energetic double Higgs boson production in the two bottom quark and two vector boson all-hadronic final state
CMS Collaboration
19 July 2024

Abstract: A search for standard model (SM) nonresonant Higgs boson pair ( $\mathrm{HH}$ ) production is performed in the two bottom quark ( $\mathrm{b\overline{b}}$ ) and all-hadronic two vector boson ( $\mathrm{VV}\to\mathrm{4q}$ ) final states. The search is carried out in proton-proton collisions at 13 TeV with a dataset corresponding to a total luminosity of 138 fb $^{-1}$ . The analysis focuses on highly Lorentz-boosted HH candidates, where each Higgs boson's daughter quarks are all merged inside a single large radius jet. A new global particle transformer (GloParT) classifier is used to effectively perform boosted $\mathrm{VV}\to\mathrm{4q}$ jet identification. The multiplicative modifier of the SM quartic coupling between two Higgs bosons and two vector bosons is observed (expected) to be constrained at 95% confidence level to $\kappa_\mathrm{2V} \in [-0.04, 2.05]$ ( $[0.05, 1.98]$ ).
Links: CDS record (PDF) ; Physics Briefing ; CADI line (restricted) ;

Figures & Tables	Summary	References	CMS Publications

Figures
png pdf	Figure 1: Leading-order diagrams for nonresonant Higgs boson pair production via gluon-gluon fusion (top) and vector boson fusion (bottom). In this note, we refer to the left-most VBF diagram as the $({\mathrm{H}\mathrm{V}\mathrm{V}})^2$ and the right-most as the ${\mathrm{H}\mathrm{H}\mathrm{V}\mathrm{V}}$ diagram.
png pdf	Figure 1-a: Leading-order diagrams for nonresonant Higgs boson pair production via gluon-gluon fusion (top) and vector boson fusion (bottom). In this note, we refer to the left-most VBF diagram as the $({\mathrm{H}\mathrm{V}\mathrm{V}})^2$ and the right-most as the ${\mathrm{H}\mathrm{H}\mathrm{V}\mathrm{V}}$ diagram.
png pdf	Figure 1-b: Leading-order diagrams for nonresonant Higgs boson pair production via gluon-gluon fusion (top) and vector boson fusion (bottom). In this note, we refer to the left-most VBF diagram as the $({\mathrm{H}\mathrm{V}\mathrm{V}})^2$ and the right-most as the ${\mathrm{H}\mathrm{H}\mathrm{V}\mathrm{V}}$ diagram.
png pdf	Figure 1-c: Leading-order diagrams for nonresonant Higgs boson pair production via gluon-gluon fusion (top) and vector boson fusion (bottom). In this note, we refer to the left-most VBF diagram as the $({\mathrm{H}\mathrm{V}\mathrm{V}})^2$ and the right-most as the ${\mathrm{H}\mathrm{H}\mathrm{V}\mathrm{V}}$ diagram.
png pdf	Figure 1-d: Leading-order diagrams for nonresonant Higgs boson pair production via gluon-gluon fusion (top) and vector boson fusion (bottom). In this note, we refer to the left-most VBF diagram as the $({\mathrm{H}\mathrm{V}\mathrm{V}})^2$ and the right-most as the ${\mathrm{H}\mathrm{H}\mathrm{V}\mathrm{V}}$ diagram.
png pdf	Figure 1-e: Leading-order diagrams for nonresonant Higgs boson pair production via gluon-gluon fusion (top) and vector boson fusion (bottom). In this note, we refer to the left-most VBF diagram as the $({\mathrm{H}\mathrm{V}\mathrm{V}})^2$ and the right-most as the ${\mathrm{H}\mathrm{H}\mathrm{V}\mathrm{V}}$ diagram.
png pdf	Figure 2: Differential cross section at 13 TeV center of mass for VBF ${\mathrm{H}\mathrm{H}}$ production as a function of the invariant mass of the ${\mathrm{H}\mathrm{H}}$ system ( $m_{\mathrm{H}\mathrm{H}}$ ) for different diagrams and couplings.
png pdf	Figure 3: Illustration of the signal and fail analysis region selections in terms of the $T_\text{Xbb}^\mathrm{bb}$ and BDT scores.
png pdf	Figure 4: Full set of training jet classes for GloParT.
png pdf	Figure 5: Receiver operating characteristic (ROC) curve for the $T_\text{HVV}$ discriminator on VV-candidate jets passing the AK8 online and offline selections for SM ${\mathrm{H}\mathrm{H}}$ signal versus QCD and $\mathrm{t} \overline{\mathrm{t}}$ backgrounds.
png pdf	Figure 6: Distributions of the GloParT $T_\text{HVV}$ discriminant before (left) and after (right) the Lund plane reweighting of top matched jets. The combined uncertainties from Lund-plane-based scale factors on the MC yield per bin are shown in gray, and are propagated to the data/MC ratio intervals.
png pdf	Figure 6-a: Distributions of the GloParT $T_\text{HVV}$ discriminant before (left) and after (right) the Lund plane reweighting of top matched jets. The combined uncertainties from Lund-plane-based scale factors on the MC yield per bin are shown in gray, and are propagated to the data/MC ratio intervals.
png pdf	Figure 6-b: Distributions of the GloParT $T_\text{HVV}$ discriminant before (left) and after (right) the Lund plane reweighting of top matched jets. The combined uncertainties from Lund-plane-based scale factors on the MC yield per bin are shown in gray, and are propagated to the data/MC ratio intervals.
png pdf	Figure 7: Post-background-only-fit distributions of the $\mathrm{b} \overline{\mathrm{b}}$ -candidate jet regressed mass ( ${m_\mathrm{reg}^\mathrm{bb}}$ ) in the ggF (left) and VBF (right) signal regions.
png pdf	Figure 7-a: Post-background-only-fit distributions of the $\mathrm{b} \overline{\mathrm{b}}$ -candidate jet regressed mass ( ${m_\mathrm{reg}^\mathrm{bb}}$ ) in the ggF (left) and VBF (right) signal regions.
png pdf	Figure 7-b: Post-background-only-fit distributions of the $\mathrm{b} \overline{\mathrm{b}}$ -candidate jet regressed mass ( ${m_\mathrm{reg}^\mathrm{bb}}$ ) in the ggF (left) and VBF (right) signal regions.
png pdf	Figure 8: Observed and expected exclusion limits at 95% CL for the ${\mathrm{H}\mathrm{H}\to\mathrm{b}\overline{\mathrm{b}}\mathrm{V}\mathrm{V}}$ signal SM production cross section (top) and cross section at $\kappa_{2\mathrm{V}}=$ 0 (bottom).
png pdf	Figure 9: 1D upper limits scans on the inclusive ${\mathrm{H}\mathrm{H}}$ production cross section as a function of $\kappa_{2\mathrm{V}}$ for $\kappa_{\mathrm{t}} = \kappa_{\lambda} = \kappa_{\mathrm{V}} =$ 1.

Tables
png pdf	Table 2: The complete set of input features into GloParT. Three types of inputs are considered: charged PF candidates, neutral PF candidates, and secondary vertices (SVs).
png pdf	Table 3: Signal efficiency scale factors (SFs) and uncertainties for the BDT selection using the Lund jet plane for different ${\mathrm{H}\mathrm{H}}$ signals and analysis regions. Both the total combined uncertainty and the components mentioned in the text are shown.
png pdf	Table 4: Summary of the effect of different systematic uncertainties on the signal or background yields.

Summary

We describe a search for standard model (SM) nonresonant Higgs boson pair (

${\mathrm{H}\mathrm{H}}$ ) production in the two bottom quark (

$\mathrm{b} \overline{\mathrm{b}}$ ) and two vector boson (VV) all-hadronic final states. We search for two highly boosted Higgs bosons producing fully merged jets; where all H daughter quarks are contained within a single large-radius jet. The established ParticleNet mass-decorrelated tagger is used to select for

$\mathrm{H}\to\mathrm{b}\overline{\mathrm{b}}$ jets and we introduce the new high-performing GloParT tagger for

$\mathrm{H}\to\mathrm{V}\mathrm{V}$ jets. The

${\mathrm{H}\mathrm{H}}$ signal is extracted using the

$\mathrm{H}\to\mathrm{b}\overline{\mathrm{b}}$ jet regressed mass using control regions with tagger scores inverted to obtain a data-driven estimate of the shape and normalization of the QCD multijet background via a parametric transfer function. The results are interpreted in terms of a multiplicative modifier of the SM quartic coupling between two Higgs bosons and two vector bosons, which is observed (expected) to be constrained to

$[-0.04, 2.05]$ (

$[0.05, 1.98]$ ) at 95% confidence level.

References
1	ATLAS and CMS Collaborations	Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=$ 7 and 8 TeV with the ATLAS and CMS Experiments	PRL 114 (2015) 191803	1503.07589
2	CMS Collaboration	A measurement of the Higgs boson mass in the diphoton decay channel	PLB 805 (2020) 135425	CMS-HIG-19-004 2002.06398
3	ATLAS Collaboration	Measurement of the Higgs boson mass in the $H \to ZZ^* \to 4 \ell$ decay channel using 139 fb $^{-1}$ of $\sqrt s$ = 13 TeV $pp$ collisions recorded by the ATLAS detector at the LHC	PLB 843 (2023) 137880	2207.00320
4	CMS Collaboration	Measurement of the Higgs boson width and evidence of its off-shell contributions to ZZ production	Nature Phys. 18 (2022) 1329	CMS-HIG-21-013 2202.06923
5	ATLAS Collaboration	Evidence of off-shell Higgs boson production from ZZ leptonic decay channels and constraints on its total width with the ATLAS detector	PLB 846 (2023) 138223	2304.01532
6	CMS Collaboration	Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s}=$ 13 TeV	EPJC 79 (2019) 421	CMS-HIG-17-031 1809.10733
7	CMS Collaboration	A portrait of the Higgs boson by the CMS experiment ten years after the discovery	Nature 607 (2022) 60	CMS-HIG-22-001 2207.00043
8	ATLAS Collaboration	A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery	Nature 607 (2022) 52	2207.00092
9	M. Grazzini et al.	Higgs boson pair production at NNLO with top quark mass effects	JHEP 05 (2018) 059	1803.02463
10	J. Baglio et al.	$gg\to HH$ : Combined uncertainties	PRD 103 (2021) 056002	2008.11626
11	LHC Higgs Cross Section Working Group	Handbook of LHC Higgs Cross Sections: 4. Deciphering the nature of the Higgs sector	CERN Yellow Rep. Monogr. 2 (2017)	1610.07922
12	F. Bishara, R. Contino, and J. Rojo	Higgs pair production in vector-boson fusion at the LHC and beyond	EPJC 77 (2017) 481	1611.03860
13	CMS Collaboration	Search for nonresonant pair production of highly energetic Higgs bosons decaying to bottom quarks	PRL 131 (2023) 041803	2205.06667
14	CMS Collaboration	Search for Higgs Boson Pair Production in the four b quark final state in proton-proton collisions at $\sqrt{s} =$ 13 TeV	PRL 129 (2022) 081802	CMS-HIG-20-005 2202.09617
15	CMS Collaboration	Search for nonresonant Higgs boson pair production in final state with two bottom quarks and two tau leptons in proton-proton collisions at s=13 TeV	PLB 842 (2023) 137531	CMS-HIG-20-010 2206.09401
16	ATLAS Collaboration	Search for pair production of boosted Higgs bosons via vector-boson fusion in the $\mathrm{b}\overline{\mathrm{b}}\mathrm{b}\overline{\mathrm{b}}$ final state using pp collisions at $\sqrt{s} =$ 13 TeV with the ATLAS detector	Submitted to Phys. Lett. B., 2024	2404.17193
17	CMS Collaboration	Performance of heavy-flavour jet identification in boosted topologies in proton-proton collisions at $\sqrt{s} =$ 13 TeV	CMS Physics Analysis Summary, 2023 CMS-PAS-BTV-22-001	CMS-PAS-BTV-22-001
18	CMS Collaboration	The CMS experiment at the CERN LHC	JINST 3 (2008) S08004
19	CMS Collaboration	Performance of the CMS Level-1 trigger in proton-proton collisions at $\sqrt{s} =$ 13 TeV	JINST 15 (2020) P10017	CMS-TRG-17-001 2006.10165
20	CMS Collaboration	The CMS trigger system	JINST 12 (2017) P01020	CMS-TRG-12-001 1609.02366
21	CMS Collaboration	Particle-flow reconstruction and global event description with the CMS detector	JINST 12 (2017) P10003	CMS-PRF-14-001 1706.04965
22	CMS Collaboration	Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid	CMS Technical Proposal CERN-LHCC-2015-010, CMS-TDR-15-02, 2015 CDS
23	M. Cacciari, G. P. Salam, and G. Soyez	The anti- $k_{\mathrm{T}}$ jet clustering algorithm	JHEP 04 (2008) 063	0802.1189
24	M. Cacciari, G. P. Salam, and G. Soyez	FastJet user manual	EPJC 72 (2012) 1896	1111.6097
25	CMS Collaboration	Pileup Removal Algorithms	CMS Physics Analysis Summary, 2014	CMS-PAS-JME-14-001
26	D. Bertolini, P. Harris, M. Low, and N. Tran	Pileup Per Particle Identification	JHEP 10 (2014) 059	1407.6013
27	CMS Collaboration	Pileup mitigation at CMS in 13 TeV data	JINST 15 (2020) P09018	CMS-JME-18-001 2003.00503
28	CMS Collaboration	Performance of Electron Reconstruction and Selection with the CMS Detector in Proton-Proton Collisions at $\sqrt{s} =$ 8 TeV	JINST 10 (2015) P06005	CMS-EGM-13-001 1502.02701
29	CMS Collaboration	Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $\sqrt{s}=$ 13 TeV	JINST 13 (2018) P06015	CMS-MUO-16-001 1804.04528
30	P. Nason	A new method for combining NLO QCD with shower Monte Carlo algorithms	JHEP 11 (2004) 040	hep-ph/0409146
31	S. Frixione, P. Nason, and C. Oleari	Matching NLO QCD computations with parton shower simulations: the POWHEG method	JHEP 11 (2007) 070	0709.2092
32	S. Alioli, P. Nason, C. Oleari, and E. Re	A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX	JHEP 06 (2010) 043	1002.2581
33	E. Bagnaschi, G. Degrassi, P. Slavich, and A. Vicini	Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM	JHEP 02 (2012) 088	1111.2854
34	J. Alwall et al.	The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations	JHEP 07 (2014) 079	1405.0301
35	S. Dawson, S. Dittmaier, and M. Spira	Neutral Higgs boson pair production at hadron colliders: QCD corrections	PRD 58 (1998) 115012	hep-ph/9805244
36	D. de Florian and J. Mazzitelli	Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD	PRL 111 (2013) 201801	1309.6594
37	D. de Florian and J. Mazzitelli	Higgs pair production at next-to-next-to-leading logarithmic accuracy at the LHC	JHEP 09 (2015) 053	1505.07122
38	J. Baglio et al.	Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme	EPJC 79 (2019) 459	1811.05692
39	S. Borowka et al.	Higgs Boson Pair Production in Gluon Fusion at Next-to-Leading Order with Full Top-Quark Mass Dependence	PRL 117 (2016) 012001	1604.06447
40	D. Y. Shao, C. S. Li, H. T. Li, and J. Wang	Threshold resummation effects in Higgs boson pair production at the LHC	JHEP 07 (2013) 169	1301.1245
41	T. Ježo et al.	An NLO+PS generator for ${\mathrm{t}\overline{\mathrm{t}}}$ and $\mathrm{W}\mathrm{t}$ production and decay including non-resonant and interference effects	EPJC 76 (2016) 691	1607.04538
42	S. Frixione, P. Nason, and G. Ridolfi	A Positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction	JHEP 09 (2007) 126	0707.3088
43	K. Hamilton, P. Nason, C. Oleari, and G. Zanderighi	Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching	JHEP 05 (2013) 082	1212.4504
44	P. Nason and C. Oleari	NLO Higgs boson production via vector-boson fusion matched with shower in POWHEG	JHEP 02 (2010) 037	0911.5299
45	G. Luisoni, P. Nason, C. Oleari, and F. Tramontano	$\mathrm{H}\mathrm{W}^{\pm}$ / $\mathrm{HZ}$ +0 and 1 jet at NLO with the POWHEG box interfaced to GoSam and their merging within MINLO	JHEP 10 (2013) 083	1306.2542
46	H. B. Hartanto, B. Jäger, L. Reina, and D. Wackeroth	Higgs boson production in association with top quarks in the POWHEG BOX	PRD 91 (2015) 094003	1501.04498
47	T. Sjöstrand et al.	An introduction to PYTHIA8.2	Comput. Phys. Commun. 191 (2015) 159	1410.3012
48	CMS Collaboration	Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements	EPJC 80 (2020) 4	CMS-GEN-17-001 1903.12179
49	NNPDF Collaboration	Parton distributions for the LHC Run II	JHEP 04 (2015) 040	1410.8849
50	NNPDF Collaboration	Parton distributions from high-precision collider data	EPJC 77 (2017) 663	1706.00428
51	D. Krohn, J. Thaler, and L.-T. Wang	Jet Trimming	JHEP 02 (2010) 084	0912.1342
52	H. Qu and L. Gouskos	ParticleNet: Jet Tagging via Particle Clouds	PRD 101 (2020) 056019	1902.08570
53	H. Qu, C. Li, and S. Qian	Particle Transformer for Jet Tagging	in Proceedings of the 39th International Conference on Machine Learning, K. Chaudhuri et al., eds., volume 162, 2022 link	2202.03772
54	CMS Collaboration	Mass regression of highly-boosted jets using graph neural networks	CMS Detector Performance Note CMS-DP-2021-017, 2021 CDS
55	F. A. Dreyer, G. P. Salam, and G. Soyez	The Lund Jet Plane	JHEP 12 (2018) 064	1807.04758
56	CMS Collaboration	Lund Plane Reweighting for Jet Substructure Correction	CMS Detector Performance Note CMS-DP-2023-046, 2023 CDS
57	S. Catani, Y. L. Dokshitzer, M. H. Seymour, and B. R. Webber	Longitudinally invariant $k_{\mathrm{T}}$ clustering algorithms for hadron hadron collisions	NPB 406 (1993) 187
58	S. D. Ellis and D. E. Soper	Successive combination jet algorithm for hadron collisions	PRD 48 (1993) 3160	hep-ph/9305266
59	CMS Collaboration	Search for a massive resonance decaying to a pair of Higgs bosons in the four b quark final state in proton-proton collisions at $\sqrt{s}=$ 13 TeV	PLB 781 (2018) 244	1710.04960
60	CMS Collaboration	Inclusive search for highly boosted Higgs bosons decaying to bottom quark-antiquark pairs in proton-proton collisions at $\sqrt{s} =$ 13 TeV	JHEP 12 (2020) 85	CMS-HIG-19-003 2006.13251
61	R. A. Fisher	On the interpretation of $\chi^2$ from contingency tables, and the calculation of p	J. Royal Statistical Society 85 (1922) 87
62	CMS Collaboration	Jet energy scale and resolution measurement with Run 2 Legacy Data Collected by CMS at 13 TeV	CMS Detector Performance Note CMS-DP-2021-033, 2021 CDS
63	CMS Collaboration	Search for Higgs boson pair production via vector boson fusion with highly Lorentz-boosted Higgs bosons in the four b quark final state at $\sqrt{s} =$ 13 TeV	CMS Physics Analysis Summary CMS-PAS-B2G-21-001, CERN, 2021 CDS
64	S. Mrenna and P. Skands	Automated Parton-Shower Variations in Pythia 8	PRD 94 (2016) 074005	1605.08352
65	CMS Collaboration	Precision luminosity measurement in proton-proton collisions at $\sqrt{s} =$ 13 TeV in 2015 and 2016 at CMS	EPJC 81 (2021) 800	CMS-LUM-17-003 2104.01927
66	CMS Collaboration	CMS luminosity measurement for the 2017 data-taking period at $\sqrt{s}$ = 13 TeV	CMS Physics Analysis Summary, 2018 link	CMS-PAS-LUM-17-004
67	CMS Collaboration	CMS luminosity measurement for the 2018 data-taking period at $\sqrt{s}$ = 13 TeV	CMS Physics Analysis Summary, 2019 link	CMS-PAS-LUM-18-002
68	ATLAS and CMS Collaborations, and the LHC Higgs Combination Group	Procedure for the LHC Higgs boson search combination in Summer 2011	ATL-PHYS-PUB-2011-011, CMS NOTE-2011/005, 2011 link
69	G. Cowan, K. Cranmer, E. Gross, and O. Vitells	Asymptotic formulae for likelihood-based tests of new physics	EPJC 71 (2011) 1554	1007.1727
70	A. L. Read	Presentation of search results: the $\text{CL}_\text{s}$ technique	JPG 28 (2002) 2693
71	T. Junk	Confidence level computation for combining searches with small statistics	NIM A 434 (1999) 435	hep-ex/9902006
72	CMS Collaboration	The CMS statistical analysis and combination tool: \textscCombine	Accepted by Comput. Softw. Big Sci, 2024	CMS-CAT-23-001 2404.06614
73	W. Verkerke and D. P. Kirkby	The RooFit toolkit for data modeling	eConf C0303241 MOLT007, 2003	physics/0306116
74	L. Moneta et al.	The RooStats Project	PoS ACAT 057, 2010 link	1009.1003