CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-B2G-24-014
Search for heavy resonances decaying into two Higgs bosons in the $ \mathrm{b}\bar{\mathrm{b}} \tau^{+}\tau^{-} $ final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Abstract: A search is presented for massive narrow-width resonances in the mass range of 1 $ \text{-} $ 4.5 TeV decaying into pairs of Higgs bosons (HH), using proton-proton collision data at a center-of-mass energy of 13 TeV collected with the CMS detector at the LHC during the 2016 $ \text{-} $ 2018 data-taking. The data correspond to an integrated luminosity of 138 fb$ ^{-1} $. The analysis targets final states where one Higgs boson decays into a pair of bottom quarks and the other into a pair of tau leptons, $ \mathrm{X}\rightarrow\mathrm{HH}\rightarrow \mathrm{b}\bar{\mathrm{b}} \tau^{+}\tau^{-} $. The observed data are found to be consistent with standard model background expectations. Upper limits at 95% confidence level are set on the production cross section for resonant HH production for masses between 1 and 4.5 TeV. This analysis sets the most sensitive LHC limits to date on $ \mathrm{X}\rightarrow\mathrm{HH}\rightarrow \mathrm{b}\bar{\mathrm{b}} \tau^{+}\tau^{-} $ decays in the mass range of 1.4 to 4.5 TeV.
Figures Summary References CMS Publications
Figures

png pdf
Figure 1:
Representative Feynman diagram for the production of either a spin-0 radion or a spin-2 graviton X, which decays into two SM Higgs bosons. The Higgs boson pairs decay into a $ \mathrm{b}\overline{\mathrm{b}} \tau^+\tau^- $ final state.

png pdf
Figure 2:
Invariant mass of the di-tau system reconstructed by FASTMTT after the full event selection. $ \tau_h\tau_h $ channel is shown on the left and $ \ell\tau_h $ channel on the right. The data are compared with simulation, and the grey uncertainty bands represent postfit uncertainties of a few prominent parameters in the fit along with statistical uncertainties.

png pdf
Figure 2-a:
Invariant mass of the di-tau system reconstructed by FASTMTT after the full event selection. $ \tau_h\tau_h $ channel is shown on the left and $ \ell\tau_h $ channel on the right. The data are compared with simulation, and the grey uncertainty bands represent postfit uncertainties of a few prominent parameters in the fit along with statistical uncertainties.

png pdf
Figure 2-b:
Invariant mass of the di-tau system reconstructed by FASTMTT after the full event selection. $ \tau_h\tau_h $ channel is shown on the left and $ \ell\tau_h $ channel on the right. The data are compared with simulation, and the grey uncertainty bands represent postfit uncertainties of a few prominent parameters in the fit along with statistical uncertainties.

png pdf
Figure 3:
Invariant mass ($ \mathrm{M}_\mathrm{H(bb)} $) of the leading AK8 jet (obtained from ParticleNet regression) in the event after the full event selection. The signal region (SR) is defined as 100 GeV $ \leq \mathrm{M} _ \mathrm{H(bb)} \leq $ 150 GeV. Sideband (SB) regions are defined on either side of the SR. $ \tau_h\tau_h $ channel is shown on the left and $ \ell\tau_h $ channel on the right. The data are compared with simulation, and the grey uncertainty bands in the plot represent postfit uncertainties of a few prominent parameters in the fit along with statistical uncertainties.

png pdf
Figure 3-a:
Invariant mass ($ \mathrm{M}_\mathrm{H(bb)} $) of the leading AK8 jet (obtained from ParticleNet regression) in the event after the full event selection. The signal region (SR) is defined as 100 GeV $ \leq \mathrm{M} _ \mathrm{H(bb)} \leq $ 150 GeV. Sideband (SB) regions are defined on either side of the SR. $ \tau_h\tau_h $ channel is shown on the left and $ \ell\tau_h $ channel on the right. The data are compared with simulation, and the grey uncertainty bands in the plot represent postfit uncertainties of a few prominent parameters in the fit along with statistical uncertainties.

png pdf
Figure 3-b:
Invariant mass ($ \mathrm{M}_\mathrm{H(bb)} $) of the leading AK8 jet (obtained from ParticleNet regression) in the event after the full event selection. The signal region (SR) is defined as 100 GeV $ \leq \mathrm{M} _ \mathrm{H(bb)} \leq $ 150 GeV. Sideband (SB) regions are defined on either side of the SR. $ \tau_h\tau_h $ channel is shown on the left and $ \ell\tau_h $ channel on the right. The data are compared with simulation, and the grey uncertainty bands in the plot represent postfit uncertainties of a few prominent parameters in the fit along with statistical uncertainties.

png pdf
Figure 4:
Post-fit reconstructed mass distribution of resonance X ($ \text{M}_\text{X} $) in the SR (left) and SB (right) after applying the complete selection criteria. The plots correspond to the merged $ \tau_h\tau_h $ and $ \ell\tau_h $ channels. Minor background contributions are grouped into a single category labeled as others.

png pdf
Figure 4-a:
Post-fit reconstructed mass distribution of resonance X ($ \text{M}_\text{X} $) in the SR (left) and SB (right) after applying the complete selection criteria. The plots correspond to the merged $ \tau_h\tau_h $ and $ \ell\tau_h $ channels. Minor background contributions are grouped into a single category labeled as others.

png pdf
Figure 4-b:
Post-fit reconstructed mass distribution of resonance X ($ \text{M}_\text{X} $) in the SR (left) and SB (right) after applying the complete selection criteria. The plots correspond to the merged $ \tau_h\tau_h $ and $ \ell\tau_h $ channels. Minor background contributions are grouped into a single category labeled as others.

png pdf
Figure 5:
Expected and observed upper limits at 95% CL on the production cross section of resonant HH production for a spin-0 (left) and spin-2 (right) narrow resonance hypothesis.

png pdf
Figure 5-a:
Expected and observed upper limits at 95% CL on the production cross section of resonant HH production for a spin-0 (left) and spin-2 (right) narrow resonance hypothesis.

png pdf
Figure 5-b:
Expected and observed upper limits at 95% CL on the production cross section of resonant HH production for a spin-0 (left) and spin-2 (right) narrow resonance hypothesis.
Summary
A search is presented for heavy resonant Higgs boson pair (HH) production in the $ \mathrm{b}\overline{\mathrm{b}}\tau^+\tau^- $ final state, exploring resonance masses between 1 and 4.5 TeV. The analysis is based on proton-proton collision data collected with the CMS detector during LHC Run 2 (2016--2018), corresponding to an integrated luminosity of 138 fb$ ^{-1} $ at a center-of-mass energy of 13 TeV. In this mass regime, the Higgs bosons produced are boosted, resulting in collimated decay products. The reconstruction and identification of such boosted objects are enhanced using advanced machine learning techniques, including a graph neural network for merged $ \mathrm{b}\overline{\mathrm{b}} $ jets and a convolutional neural network for boosted $ \tau^+\tau^- $ identification. No significant deviation from the standard model background expectation is observed and 95% confidence level upper limits are set on the production cross section of a heavy resonance decaying to HH, evaluated independently for both spin-0 and spin-2 hypotheses. With respect to previous CMS and ATLAS results, this analysis, using the full Run 2 dataset sets the most sensitive upper bounds to date on the production of $ \mathrm{X} $ \rightarrow $ \mathrm{HH} \rightarrow \mathrm{b}\overline{\mathrm{b}} \tau^+\tau^- $ at the LHC in the mass range of 1.4 to 4.5 TeV.
References
1 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
2 ATLAS Collaboration Evidence for the spin-0 nature of the Higgs boson using ATLAS data PLB 726 (2013) 120 1307.1432
3 L. Randall and R. Sundrum Large mass hierarchy from a small extra dimension Physical review letters 83 (1999) 3370 hep-ph/9905221
4 L. Randall and R. Sundrum An alternative to compactification Physical Review Letters 83 (1999) 4690 hep-th/9906064
5 W. D. Goldberger and M. B. Wise Modulus stabilization with bulk fields Physical Review Letters 83 (1999) 4922 hep-ph/9907447
6 O. DeWolfe, D. Freedman, S. S. Gubser, and A. Karch Modeling the fifth dimension with scalars and gravity PRD 62 (2000) 046008 hep-th/9909134
7 C. Csaki, M. Graesser, L. Randall, and J. Terning Cosmology of brane models with radion stabilization PRD 62 (2000) 045015 hep-ph/9911406
8 H. Davoudiasl, J. Hewett, and T. Rizzo Phenomenology of the randall-sundrum gauge hierarchy model Physical Review Letters 84 (2000) 2080 hep-ph/9909255
9 K. Agashe, H. Davoudiasl, G. Perez, and A. Soni Warped gravitons at the CERN LHC and beyond PRD 76 (2007) 036006 hep-ph/0701186
10 CMS Collaboration Search for heavy resonances decaying into two Higgs bosons or into a Higgs boson and a W or Z boson in proton-proton collisions at 13 TeV JHEP 2019 (2019) 1 1808.01365
11 ATLAS Collaboration Reconstruction and identification of boosted di-$ \tau $ systems in a search for Higgs boson pairs using 13 TeV proton-proton collision data in atlas JHEP 2020 (2020) 1 2007.14811
12 ATLAS Collaboration Search for resonant and non-resonant Higgs boson pair production in the $ b\overline{b} \tau^{+}\tau^{-} $ decay channel using 13 TeV pp collisions data from the atlas detector JHEP 2023 (2023) 1 2209.10910
13 H. Qu and L. Gouskos Jet tagging via particle clouds PRD 101 (2020) 056019 1902.08570
14 CMS Collaboration Search for Narrow High-Mass Resonances in Proton-Proton Collisions at $ \sqrt{s} = $ 8 TeV Decaying to a Z and a Higgs Boson PLB 748 (2015) 255 CMS-EXO-13-007
1502.04994
15 CMS Collaboration Identification of hadronic tau lepton decays using a deep neural network JINST 17 (2022) P07023 CMS-TAU-20-001
2201.08458
16 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
17 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
18 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with Parton Shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
19 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
20 M. Czakon et al. Top-pair production at the LHC through NNLO QCD and NLO EW JHEP 10 (2017) 186 1705.04105
21 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
22 M. L. Mangano, M. Moretti, F. Piccinini, and M. Treccani Matching matrix elements and shower evolution for top-quark production in hadronic collisions JHEP 01 (2007) 013 hep-ph/0611129
23 A. Denner, S. Dittmaier, T. Kasprzik, and A. Muck Electroweak corrections to W+jet hadroproduction including leptonic W-boson decays JHEP 08 (2009) 075 0906.1656
24 A. Denner, S. Dittmaier, T. Kasprzik, and A. Muck Electroweak corrections to dilepton+jet production at hadron colliders JHEP 06 (2011) 069 1103.0914
25 A. Denner, S. Dittmaier, T. Kasprzik, and A. Maeck Electroweak corrections to monojet production at the LHC EPJC 73 (2013) 2297 1211.5078
26 J. H. Kuhn, A. Kulesza, S. Pozzorini, and M. Schulze Electroweak corrections to hadronic photon production at large transverse momenta JHEP 03 (2006) 059 hep-ph/0508253
27 S. Kallweit et al. NLO electroweak automation and precise predictions for W+multijet production at the LHC JHEP 04 (2015) 012 1412.5157
28 S. Kallweit et al. NLO QCD+EW predictions for V+jets including off-shell vector-boson decays and multijet merging JHEP 04 (2016) 021 1511.08692
29 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
30 T. Sjöstrand, S. Mrenna, and P. Z. Skands A brief introduction to PYTHIA 8.1 Comput. Phys. Commun. 178 (2008) 852 0710.3820
31 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
32 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
33 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
34 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
35 M. Cacciari, G. P. Salam, and G. Soyez FastJet User Manual EPJC 72 (2012) 1896 1111.6097
36 CMS Collaboration Performance of missing energy reconstruction in 13 TeV pp collision data using the CMS detector CMS Physics Analysis Summary, CERN, 2016
CMS-PAS-JME-16-004
CMS-PAS-JME-16-004
37 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup Per Particle Identification JHEP 10 (2014) 059 1407.6013
38 E. Bols et al. Jet Flavour Classification Using DeepJet JINST 15 (2020) P12012 2008.10519
39 CMS Collaboration Tau identification in boosted topologies CMS Detector Performance Summary CMS-DP-2016-038, CERN, 2016
CDS
40 M. Wobisch and T. Wengler Hadronization corrections to jet cross-sections in deep inelastic scattering in Monte Carlo generators for HERA physics. Proceedings, Workshop, Hamburg, Germany, -1999, 1998
link
hep-ph/9907280
41 CMS Collaboration Performance of tau-lepton reconstruction and identification in CMS JINST 7 (2012) P01001 CMS-TAU-11-001
1109.6034
42 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_{\tau} $ in pp collisions at $ \sqrt{s} = $ 13 TeV JINST 13 (2018) P10005 CMS-TAU-16-003
1809.02816
43 CMS Collaboration Performance of boosted tau lepton identification with DeepTau Framework (Boosted DeepTau) CMS Detector Performance Summary CMS-DP-2025-047, CERN, 2025
44 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
45 CMS Collaboration Performance of CMS muon reconstruction in $ {\rm pp} $ collision events at $ \sqrt{s} = $ 7 TeV JINST 7 (2012) P10002 CMS-MUO-10-004
1206.4071
46 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft Drop JHEP 05 (2014) 146 1402.2657
47 W. Matyszkiewicz and A. Kalinowski Tau-pair Invariant Mass Estimation Using Maximum Likelihood Estimation and Collinear Approximation Acta Phys. Polon. Supp. 18 (2025) 5
48 R. K. Ellis, I. Hinchliffe, M. Soldate, and J. J. van der Bij Higgs Decay to tau+ tau-: A Possible Signature of Intermediate Mass Higgs Bosons at high energy hadron colliders NPB 297 (1988) 221
49 CMS Collaboration The CMS Statistical Analysis and Combination Tool: Combine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
50 W. Verkerke and D. Kirkby The roofit toolkit for data modeling in Statistical Problems in Particle Physics, Astrophysics and Cosmology, World Scientific, 2006
51 L. Moneta et al. The RooStats project in 13th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT), 2010
link
1009.1003
52 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
53 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
54 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
55 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
56 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
57 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV JHEP 07 (2018) 161 CMS-FSQ-15-005
1802.02613
58 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
59 CMS Collaboration Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
60 R. J. Barlow and C. Beeston Fitting using finite Monte Carlo samples Comput. Phys. Commun. 77 (1993) 219
61 CMS Collaboration Measurement of differential cross sections for top quark pair production using the lepton+jets final state in proton-proton collisions at 13 TeV PRD 95 (2017) 092001 CMS-TOP-16-008
1610.04191
Compact Muon Solenoid
LHC, CERN