CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-B2G-21-001
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
Abstract: Nonresonant Higgs boson pair production via vector boson fusion is searched for in the final state where each Higgs boson decays to a b quark-antiquark pair, and both Higgs bosons are highly Lorentz boosted so that they can be reconstructed as two large-radius jets. The data collected by the CMS experiment in 2016-2018 from proton-proton collisions at a centre-of-mass energy of 13 TeV is used, corresponding to an integrated luminosity of 138 fb$^{-1}$. A novel multivariate classifier based on graph neural networks, ParticleNet, is applied to identify the jets that contain the Higgs boson decay products. No excess is observed compared to the background-only expectation, and upper limits are set on the product of the nonresonant Higgs boson pair production cross section via vector boson fusion and the branching fraction into $\textrm{b}\bar{\textrm{b}}\textrm{b}\bar{\textrm{b}}$. The strength of the coupling between a pair of Higgs bosons and a pair of vector bosons relative to the standard model coupling is constrained within the range 0.6 $ < \kappa_{\textrm{2V}} < $ 1.4 at 95% confidence level when all other Higgs boson couplings are assumed equal to their standard model values.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Leading-order diagrams for nonresonant HH production via vector boson fusion.

png pdf
Figure 1-a:
Leading-order diagrams for nonresonant HH production via vector boson fusion.

png pdf
Figure 1-b:
Leading-order diagrams for nonresonant HH production via vector boson fusion.

png pdf
Figure 1-c:
Leading-order diagrams for nonresonant HH production via vector boson fusion.

png pdf
Figure 2:
The distributions of the invariant mass of the HH system after a background-only fit to the data, for the high-purity (upper), medium-purity (middle), and low-purity (lower) categories.

png pdf
Figure 2-a:
The distributions of the invariant mass of the HH system after a background-only fit to the data, for the high-purity (upper), medium-purity (middle), and low-purity (lower) categories.

png pdf
Figure 2-b:
The distributions of the invariant mass of the HH system after a background-only fit to the data, for the high-purity (upper), medium-purity (middle), and low-purity (lower) categories.

png pdf
Figure 2-c:
The distributions of the invariant mass of the HH system after a background-only fit to the data, for the high-purity (upper), medium-purity (middle), and low-purity (lower) categories.

png pdf
Figure 3:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the VBF HH production cross section and the branching fraction into ${\mathrm{b} \mathrm{\bar{b}} \mathrm{b} \mathrm{\bar{b}}}$, as a function of the ${\kappa _{\textrm {2V}}}$ coupling, with other couplings fixed to the SM values. The crossings of observed limit and the theoretical cross section (red line) indicate the ranges of the coupling values excluded at 95% CL.

png pdf
Figure 4:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the VBF HH production cross section and the branching fraction into ${\mathrm{b} \mathrm{\bar{b}} \mathrm{b} \mathrm{\bar{b}}}$, as a function of the ${\kappa _{\textrm {V}}}$ coupling, with other couplings fixed to the SM values. The crossings of observed limit and the theoretical cross section (red line) indicate the ranges of the coupling values excluded at 95% CL.

png pdf
Figure 5:
Observed (solid line) and expected (dashed line) 95% CL exclusion limit on the product of the VBF HH production cross section and the branching fraction into ${\mathrm{b} \mathrm{\bar{b}} \mathrm{b} \mathrm{\bar{b}}}$, as a function of the ${\kappa _{\textrm {2V}}}$ coupling, with the ${\kappa _{\textrm {V}}}$ coupling fixed to a values of 0.8 (upper) and 1.2 (lower), while other couplings are fixed to the SM values. The crossings of observed limit and the theoretical cross section (red line) 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 VBF HH production cross section and the branching fraction into ${\mathrm{b} \mathrm{\bar{b}} \mathrm{b} \mathrm{\bar{b}}}$, as a function of the ${\kappa _{\textrm {2V}}}$ coupling, with the ${\kappa _{\textrm {V}}}$ coupling fixed to a values of 0.8 (upper) and 1.2 (lower), while other couplings are fixed to the SM values. The crossings of observed limit and the theoretical cross section (red line) 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 VBF HH production cross section and the branching fraction into ${\mathrm{b} \mathrm{\bar{b}} \mathrm{b} \mathrm{\bar{b}}}$, as a function of the ${\kappa _{\textrm {2V}}}$ coupling, with the ${\kappa _{\textrm {V}}}$ coupling fixed to a values of 0.8 (upper) and 1.2 (lower), while other couplings are fixed to the SM values. The crossings of observed limit and the theoretical cross section (red line) indicate the ranges of the coupling values excluded at 95% CL.

png pdf
Figure 6:
Observed (solid lines) and expected (dashed lines) 95% CL exclusion limits as a function of the ${\kappa _{\textrm {2V}}}$ and ${\kappa _{\textrm {V}}}$ couplings, obtained with the CL$_{\text {s}}$ method, assuming all the other couplings to be fixed to the SM values. The hatched regions are excluded by the observed limits. The dotted curves indicate theoretical VBF HH production cross section predictions as a function of the two couplings. The SM prediction is shown as a red marker.

png pdf
Figure 7:
Observed values of likelihood as a function of the ${\kappa _{\textrm {2V}}}$ and ${\kappa _{\textrm {V}}}$ couplings, assuming all the other couplings to be fixed to the SM values. The dashed and dotted contours indicate the regions allowed at the 68 and 95% CL, respectively. The SM prediction is shown as a red marker.
Tables

png pdf
Table 1:
Summary of selections that define the search region.
Summary
Nonresonant Higgs boson pair production via vector boson fusion is searched for in the final state where each Higgs boson decays to a b quark-antiquark pair, using data from proton-proton collisions at a centre-of-mass energy of 13 TeV, collected by the CMS experiment in 2016-2018 and corresponding to an integrated luminosity of 138 fb$^{-1}$. The analysis focuses on the phase space region where both Higgs bosons are highly Lorentz-boosted, so that the two Higgs boson decays can be reconstructed as two large-radius jets. The two large-radius jets with the highest transverse momentum are considered as the Higgs boson candidates. The analysis is the first one to target such boosted topology in search for nonresonant VBF {cmsSymbolFace{H}}hbbbb process, and the first one to apply a novel multivariate classifier based on graph convolutional neural networks, ParticleNet, to identify the jets that correspond to ${\textrm{H} \rightarrow \mathrm{ b\bar{b} }} $ decays. The data are found to agree with the background-only hypothesis, and upper limits on the production cross section are presented as a function of the coupling between a pair of Higgs bosons and a pair of vector bosons, ${\kappa_{\textrm{2V}}} $, and the coupling between one Higgs boson and a pair of vector bosons, ${\kappa_{\textrm{V}}} $, normalized to the coupling values predicted in the standard model. The observed (expected) limits constrain ${\kappa_{\textrm{2V}}} $ within the range 0.6 $ < {\kappa_{\textrm{2V}}} < $ 1.4 (0.6 $ < {\kappa_{\textrm{2V}}} < $ 1.4) and ${\kappa_{\textrm{V}}} $ within $-$1.2 $ < {\kappa_{\textrm{V}}} < $ $-$0.8 or 0.8 $ < {\kappa_{\textrm{V}}} < $ 1.2 ($-$1.2 $ < {\kappa_{\textrm{V}}} < $ $-$0.8 or 0.8 $ < {\kappa_{\textrm{V}}} < $ 1.2) at 95% confidence level, when all other Higgs boson couplings are assumed equal to their standard model values. The signal hypothesis with ${\kappa_{\textrm{2V}}} =$ 0 and other couplings equal to 1 is excluded at a CL higher than 99.99%. When both ${\kappa_{\textrm{2V}}} $ and ${\kappa_{\textrm{V}}} $ are varied simultaneously, the observed limits exclude the hypothesis ${\kappa_{\textrm{2V}}} =$ 0 at a CL of 95% or higher for all ${\kappa_{\textrm{V}}} $ coupling values above 0.5, with other couplings assumed equal to their standard model values.
References
1 ATLAS Collaboration Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC PLB 716 (2012) 1 1207.7214
2 CMS Collaboration Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC PLB 716 (2012) 30 CMS-HIG-12-028
1207.7235
3 ATLAS Collaboration Search for Higgs boson pair production in the $ \gamma\gamma b\bar{b} $ final state using pp collision data at $ \sqrt{s}= $ 8 TeV from the ATLAS detector PRL 114 (2015) 081802 1406.5053
4 ATLAS Collaboration Search for Higgs boson pair production in the $ b\bar{b}b\bar{b} $ final state from pp collisions at $ \sqrt{s} = $ 8 TeV with the ATLAS detector EPJC 75 (2015) 412 1506.00285
5 ATLAS Collaboration Searches for higgs boson pair production in the $ hh\to bb\tau\tau, \gamma\gamma ww^*, \gamma\gamma bb, bbbb $ channels with the ATLAS detector PRD 92 (2015) 092004 1509.04670
6 CMS Collaboration Search for two Higgs bosons in final states containing two photons and two bottom quarks in proton-proton collisions at 8 TeV PRD 94 (2016) 052012 CMS-HIG-13-032
1603.06896
7 CMS Collaboration Search for Higgs boson pair production in the $ \mathrm{b\bar{b}}\tau\tau $ final state in proton-proton collisions at $ \sqrt{s}= $ 8 TeV PRD 96 (2017) 072004 CMS-HIG-15-013
1707.00350
8 ATLAS Collaboration Search for pair production of Higgs bosons in the $ \mathrm{b\bar{b}}\mathrm{b\bar{b}} $ final state using proton--proton collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRD 94 (2016) 052002 1606.04782
9 ATLAS Collaboration Search for Higgs boson pair production in the $ \gamma\gamma b\bar{b} $ final state with 13 TeV pp collision data collected by the ATLAS experiment JHEP 11 (2018) 040 1807.04873
10 CMS Collaboration Search for Higgs boson pair production in events with two bottom quarks and two tau leptons in proton--proton collisions at $ \sqrt s = $ 13 TeV PLB 778 (2018) 101 CMS-HIG-17-002
1707.02909
11 CMS Collaboration Search for resonant and nonresonant Higgs boson pair production in the $ \mathrm{b\bar{b}}\ell\nu\ell\nu $ final state in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 01 (2018) 054 CMS-HIG-17-006
1708.04188
12 CMS Collaboration Search for Higgs boson pair production in the $ \gamma\gamma\mathrm{b\overline{b}} $ final state in pp collisions at $ \sqrt{s}= $ 13 TeV PLB 788 (2019) 7 CMS-HIG-17-008
1806.00408
13 ATLAS Collaboration Combination of searches for Higgs boson pairs in pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PLB 800 (2020) 135103 1906.02025
14 CMS Collaboration Combination of searches for Higgs boson pair production in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRL 122 (2019) 121803 CMS-HIG-17-030
1811.09689
15 F. A. Dreyer and A. Karlberg Vector-boson fusion Higgs pair production at N$ ^3 $LO PRD 98 (2018), no. 11, 114016 1811.07906
16 CMS Collaboration Combined Higgs boson production and decay measurements with up to 137 fb$ ^{-1} $ of proton-proton collision data at $ \sqrt{s} = $ 13 tev CMS-PAS-HIG-19-005 CMS-PAS-HIG-19-005
17 F. Bishara, R. Contino, and J. Rojo Higgs pair production in vector-boson fusion at the LHC and beyond EPJC 77 (2017), no. 7, 481 1611.03860
18 D. de Florian et al. Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the Higgs sector CERN-2017-002-M 1610.07922
19 ATLAS Collaboration Search for the $ HH \rightarrow b \bar{b} b \bar{b} $ process via vector-boson fusion production using proton-proton collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 07 (2020) 108 2001.05178
20 CMS Collaboration Search for Higgs boson pair production in the four b quark final state CMS-PAS-HIG-20-005 CMS-PAS-HIG-20-005
21 H. Qu and L. Gouskos ParticleNet: Jet tagging via particle clouds PRD 101 (2020) 056019 1902.08570
22 CMS Collaboration Identification of highly Lorentz-boosted heavy particles using graph neural networks and new mass decorrelation techniques CDS
23 CMS Collaboration Mass regression of highly-boosted jets using graph neural networks CMS-DP-2021-017
24 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
25 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
26 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
27 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
28 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
29 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
30 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
31 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
32 M. Grazzini et al. Higgs boson pair production at NNLO with top quark mass effects JHEP 05 (2018) 059 1803.02463
33 S. Dawson, S. Dittmaier, and M. Spira Neutral Higgs boson pair production at hadron colliders: QCD corrections PRD 58 (1998) 115012 hep-ph/9805244
34 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), no. 1, 012001 1604.06447
35 J. Baglio et al. Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme EPJC 79 (2019), no. 6, 459 1811.05692
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. 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
38 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
39 T. Je\vzo et al. An NLO+PS generator for $ \mathrm{t}\mathrm{\overline{t}} $ and Wt production and decay including non-resonant and interference effects EPJC 76 (2016) 691 1607.04538
40 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
41 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
42 M. Czakon and A. Mitov Top++: A program for the calculation of the top-pair cross-section at hadron colliders CPC 185 (2014) 2930 1112.5675
43 M. Czakon et al. Top-pair production at the LHC through NNLO QCD and NLO EW JHEP 10 (2017) 186 1705.04105
44 NNPDF Collaboration Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO NPB 855 (2012) 153 1107.2652
45 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
46 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
47 S. Carrazza, J. I. Latorre, J. Rojo, and G. Watt A compression algorithm for the combination of PDF sets EPJC 75 (2015) 474 1504.06469
48 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
49 S. Dulat et al. New parton distribution functions from a global analysis of quantum chromodynamics PRD 93 (2016) 033006 1506.07443
50 L. A. Harland-Lang, A. D. Martin, P. Motylinski, and R. S. Thorne Parton distributions in the LHC era: MMHT 2014 PDFs EPJC 75 (2015) 204 1412.3989
51 T. Sjostrand et al. An Introduction to PYTHIA 8.2 CPC 191 (2015) 159--177 1410.3012
52 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
53 CMS Collaboration Investigations of the impact of the parton shower tuning in PYTHIA 8 in the modelling of $ \mathrm{t\overline{t}} $ at $ \sqrt{s}= $ 8 and 13 TeV CMS-PAS-TOP-16-021 CMS-PAS-TOP-16-021
54 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
55 GEANT4 Collaboration GEANT4--a simulation toolkit NIMA 506 (2003) 250--303
56 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
57 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_t $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
58 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
59 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
60 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
61 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
62 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
63 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup Per Particle Identification JHEP 10 (2014) 059 1407.6013
64 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019), no. 07, P07004 CMS-JME-17-001
1903.06078
65 CMS Collaboration Identification of heavy, energetic, hadronically decaying particles using machine-learning techniques JINST 15 (2020), no. 06, P06005 CMS-JME-18-002
2004.08262
66 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft drop JHEP 05 (2014) 146 1402.2657
67 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
68 CMS Collaboration Search for production of Higgs boson pairs in the four b quark final state using large-area jets in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 01 (2019) 040 CMS-B2G-17-019
1808.01473
69 B. Jager et al. Parton-shower effects in Higgs production via vector-boson fusion EPJC 80 (2020) 756 2003.12435
70 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in 2015 and 2016 at CMS Submitted to EPJC CMS-LUM-17-003
2104.01927
71 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-17-004 CMS-PAS-LUM-17-004
72 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-18-002 CMS-PAS-LUM-18-002
73 A. L. Read Presentation of search results: the CL$ _s $ technique JPG 28 (2002) 2693
74 T. Junk Confidence level computation for combining searches with small statistics NIMA 434 (1999) 435--443 hep-ex/9902006
75 ATLAS and CMS Collaborations Procedure for the LHC Higgs boson search combination in summer 2011 CMS-NOTE-2011-005
76 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
77 CMS Collaboration Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV EPJC 75 (2015) 212 CMS-HIG-14-009
1412.8662
78 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
Compact Muon Solenoid
LHC, CERN