CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-B2G-25-004
Study of ZZ and ZH production in the $ \mathrm{bb}\tau\tau $ final state and search for high-mass spin-0 and spin-1 resonances
Abstract: A study is presented for the production of pairs of Z bosons (ZZ) and for the associated production of a Z boson and a Higgs boson (H) in final states containing two b quarks and two tau leptons. Both resonant and nonresonant production mechanisms are investigated. The analysis is based on proton-proton collision data collected at a center-of-mass energy of $ \sqrt{s}= $ 13 TeV by the CMS experiment at the LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The nonresonant analysis targets the standard model ZZ and ZH processes in the $ \mathrm{bb}\tau\tau $ final state, motivated by the prominent role of this channel in searches for nonresonant Higgs boson pair production. The extracted best-fit signal strengths are $ \mu_{\mathrm{ZZ}} = $ 0.1 $ \pm $ 0.7 (stat) $ \pm $ 0.8 (syst) for ZZ production, and $ \mu_{\mathrm{ZH}} = - $ 1.4 $ \pm $ 1.2 (stat) $ \pm $ 1.0 (syst) for ZH production, both consistent with standard model predictions. The resonant searches target physics beyond the standard model, probing heavy spin-0 resonances that decay into ZZ and spin-1 resonances $ \mathrm{Z}' $ that decay into ZH, with masses between 200 GeV and 6 TeV. Upper limits at 95% confidence level are set on the product of the production rate and branching fraction $ \sigma(\mathrm{X})\mathcal{B}(\mathrm{X}\to\mathrm{ZZ}) $, ranging from 300 $ \mathrm{pb} $ to 24 $ \mathrm{fb} $, and on $ \sigma(\mathrm{Z}')\mathcal{B}(\mathrm{Z}'\!\to\!\mathrm{ZH}) $, ranging from 0.4 $ \mathrm{pb} $ to 12 $ \mathrm{fb} $. No deviation from standard model expectations is observed.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Illustrative Feynman diagrams describing the production of a high-mass resonance: a spin-0 resonance H$\to$ZZ (left) and a spin-1 resonance Z'$\to$ZH (right).

png pdf
Figure 1-a:
Illustrative Feynman diagrams describing the production of a high-mass resonance: a spin-0 resonance H$\to$ZZ (left) and a spin-1 resonance Z'$\to$ZH (right).

png pdf
Figure 1-b:
Illustrative Feynman diagrams describing the production of a high-mass resonance: a spin-0 resonance H$\to$ZZ (left) and a spin-1 resonance Z'$\to$ZH (right).

png pdf
Figure 2:
Distributions in the ($ m_{\mathrm{b}\mathrm{b}},m_{\tau\tau}^{\mathrm{FastMTT}} $) plane for the SM ZZ (left) and ZH (right) signals, and for the sum of all simulated backgrounds (blue). The corresponding one-dimensional projections are also shown. The distributions are normalized to unity after the $\tau\tau$ and $ \mathrm{b}\mathrm{b} $ candidate selections have been applied. The colored curves indicate the elliptical mass selection, and the black line in the right panel marks the boundary between the regions targeting each of the two ZH processes.

png pdf
Figure 2-a:
Distributions in the ($ m_{\mathrm{b}\mathrm{b}},m_{\tau\tau}^{\mathrm{FastMTT}} $) plane for the SM ZZ (left) and ZH (right) signals, and for the sum of all simulated backgrounds (blue). The corresponding one-dimensional projections are also shown. The distributions are normalized to unity after the $\tau\tau$ and $ \mathrm{b}\mathrm{b} $ candidate selections have been applied. The colored curves indicate the elliptical mass selection, and the black line in the right panel marks the boundary between the regions targeting each of the two ZH processes.

png pdf
Figure 2-b:
Distributions in the ($ m_{\mathrm{b}\mathrm{b}},m_{\tau\tau}^{\mathrm{FastMTT}} $) plane for the SM ZZ (left) and ZH (right) signals, and for the sum of all simulated backgrounds (blue). The corresponding one-dimensional projections are also shown. The distributions are normalized to unity after the $\tau\tau$ and $ \mathrm{b}\mathrm{b} $ candidate selections have been applied. The colored curves indicate the elliptical mass selection, and the black line in the right panel marks the boundary between the regions targeting each of the two ZH processes.

png pdf
Figure 3:
Distribution of the invariant mass of the ZZ system, in the resolved 2b category and $\tau_{\mu}\tau_{h}$ channel. The four-momentum of the $\tau\tau$ system is reconstructed using FastMTT. The SM ZZ$\to$bb$tau\tau$ signal, as well as the resonant X$\to$\mathrm{X}_{bb}\mathrm{X}_{\tau\tau}$ signal for $ m_\mathrm{X}= $ 400 GeV, are overlaid.

png pdf
Figure 4:
Distribution of the nonresonant DNN used for ZZ$\to$bb$tau\tau$ signal extraction in a validation region defined by inverting the elliptical mass selections described in Section 5.3, for the resolved-1/2b categories in the $\tau_{\mu}\tau_{h}$ channel.

png pdf
Figure 5:
Distributions of the DNN used for SM ZZ$\to$bb$tau\tau$ signal extraction. The lower panel shows the data-to-simulation ratio with uncertainties from a background-only fit to the observed data. The ZZ signal is scaled to its SM cross section.

png pdf
Figure 6:
Distributions of the DNN used for SM ZH$\to$bb$\tau\tau$ signal extraction. Top: $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ signal region. Bottom: $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal region. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 6-a:
Distributions of the DNN used for SM ZH$\to$bb$\tau\tau$ signal extraction. Top: $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ signal region. Bottom: $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal region. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 6-b:
Distributions of the DNN used for SM ZH$\to$bb$\tau\tau$ signal extraction. Top: $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ signal region. Bottom: $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal region. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 7:
Example distributions of the resonant DNN used for signal extraction. Left: X$\to\mathrm{Z}_{bb}\mathrm{Z}_{\tau\tau}$ with $ m_\mathrm{X}= $ 800 GeV. Right: Z`$\to$ZH with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ and $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal regions in the left and right parts, respectively. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 7-a:
Example distributions of the resonant DNN used for signal extraction. Left: X$\to\mathrm{Z}_{bb}\mathrm{Z}_{\tau\tau}$ with $ m_\mathrm{X}= $ 800 GeV. Right: Z`$\to$ZH with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ and $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal regions in the left and right parts, respectively. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 7-b:
Example distributions of the resonant DNN used for signal extraction. Left: X$\to\mathrm{Z}_{bb}\mathrm{Z}_{\tau\tau}$ with $ m_\mathrm{X}= $ 800 GeV. Right: Z`$\to$ZH with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ and $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal regions in the left and right parts, respectively. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 8:
Example distributions of the resonant DNN used for signal extraction. Top: X$\to\mathrm{Z}_{bb}\mathrm{Z}_{\tau\tau}$with $ m_\mathrm{X}= $ 800 GeV. Bottom: Z`$\to$ZH with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ and $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal regions in the left and right parts, respectively. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 8-a:
Example distributions of the resonant DNN used for signal extraction. Top: X$\to\mathrm{Z}_{bb}\mathrm{Z}_{\tau\tau}$with $ m_\mathrm{X}= $ 800 GeV. Bottom: Z`$\to$ZH with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ and $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal regions in the left and right parts, respectively. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 8-b:
Example distributions of the resonant DNN used for signal extraction. Top: X$\to\mathrm{Z}_{bb}\mathrm{Z}_{\tau\tau}$with $ m_\mathrm{X}= $ 800 GeV. Bottom: Z`$\to$ZH with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $\mathrm{Z}_{bb}\mathrm{H}_{\tau\tau}$ and $\mathrm{Z}_{\tau\tau}\mathrm{H}_{bb}$ signal regions in the left and right parts, respectively. The lower panels show the data-to-simulation ratio with uncertainties from a background-only fit to the observed data.

png pdf
Figure 9:
Results for the SM ZZ$\to$bb$tau\tau$ and ZH$\to$bb$\tau\tau$ processes. The best-fit signal strengths and approximate 68% CL intervals are obtained from a profile likelihood fit, as described in Ref. [100].

png pdf
Figure 10:
Projected significance [104] for SM ZZ$\to$bb$\tau\tau$ and ZH$\to$bb$\tau\tau$ processes as a function of integrated luminosity. Two scenarios for systematic uncertainties are shown: the S2 scenario assumes reduced systematic uncertainties, as described in Ref. [6], and the second scenario neglects systematic uncertainties. Projections for HH$\to$bb$\tau\tau$ from Ref. [6] are also shown for comparison. The thresholds required for evidence (3 $ \sigma $) and observation (5 $ \sigma $) are indicated.

png pdf
Figure 11:
Upper limits on the production cross section for the X$\to$ZZ process (left, spin-0 resonance) and the Z`$\to$ZH process (right, spin-1 resonance), obtained under the narrow-width approximation.

png pdf
Figure 11-a:
Upper limits on the production cross section for the X$\to$ZZ process (left, spin-0 resonance) and the Z`$\to$ZH process (right, spin-1 resonance), obtained under the narrow-width approximation.

png pdf
Figure 11-b:
Upper limits on the production cross section for the X$\to$ZZ process (left, spin-0 resonance) and the Z`$\to$ZH process (right, spin-1 resonance), obtained under the narrow-width approximation.
Tables

png pdf
Table 1:
Summary of selections applied to the $\tau\tau$ candidate pair
Summary
A study of ZZ and ZH production in the bb$\tau\tau$ final state has been presented based on proton-proton collision data collected by the CMS experiment at the CERN LHC at $ \sqrt{s}= $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. Both nonresonant and resonant production mechanisms have been investigated. In the nonresonant interpretation, the standard model ZZ$\to$bb$\tau\tau$ and ZH$\to$bb$\tau\tau$ productions have been measured and the results are consistent with standard model predictions. Projections of the expected sensitivity of the ZZ and ZH measurements to high-luminosity LHC integrated luminosity were presented, showing that the ZZ$\to$bb$\tau\tau$ production is expected to reach the observation threshold earlier than that of the HH$\to$bb$\tau\tau$ search, demonstrating for the first time the use of the ZZ$\to$bb$\tau\tau$ process as a standard candle to assess the analysis methods for the HH search in the bb$\tau\tau$ final state. In the resonant interpretation, searches have been performed for heavy spin-0 resonances that decay into ZZ and for spin-1 resonances that decay into ZH, with resonance masses between 200 GeV and 6 TeV. This is the first search for resonances that decay into ZZ or ZH in the bb$\tau\tau$ final state; previous searches targeted resonances that decay into HH or other final states, therefore providing an original contribution to the panorama of resonant searches. No evidence for a signal is observed, and upper limits are set on the production cross sections.
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 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
4 M. Cepeda et al. Report from working group 2: Higgs physics at the HL-LHC and HE-LHC CERN Yellow Rep. Monogr., 2019
link
1902.00134
5 CMS Collaboration Combination of searches for nonresonant Higgs boson pair production in proton-proton collisions at $ \sqrt{s}= $ 13 TeV Submitted to J. Phys. G, 2025 CMS-HIG-20-011
2510.07527
6 ATLAS and CMS Collaborations Highlights of the HL-LHC physics projections by ATLAS and CMS link 2504.00672
7 CMS Collaboration Measurements of \HepProcesspp \to ZZ production cross sections and constraints on anomalous triple gauge couplings at $ \sqrt{s} = $ 13 TeV EPJC 81 (2021) 200 CMS-SMP-19-001
2009.01186
8 ATLAS Collaboration Measurements of differential cross-sections in four-lepton events in 13 TeV proton-proton collisions with the ATLAS detector JHEP 07 (2021) 005 2103.01918
9 ATLAS Collaboration Measurement of ZZ production cross-sections in the four-lepton final state in pp collisions at $ \sqrt{s}= $ 13.6 TeV with the ATLAS experiment PLB 855 (2024) 138764 2311.09715
10 CMS Collaboration Measurement of simplified template cross sections of the Higgs boson produced in association with W or Z bosons in the \HepProcessH\to$ \mathrm{b} \overline{\mathrm{b}} $ decay channel in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRD 109 (2024) 092011 CMS-HIG-20-001
2312.07562
11 CMS Collaboration Search for ZZ and ZH production in the $ \mathrm{b}\overline{\mathrm{b}}\mathrm{b}\overline{\mathrm{b}} $ final state using proton-proton collisions at $ \sqrt{s}= $ 13 TeV EPJC 84 (2024) 712 CMS-HIG-22-011
2403.20241
12 T. Binoth and J. J. van der Bij Influence of strongly coupled, hidden scalars on Higgs signals Z. Phys. C 75 (1997) 17 hep-ph/9608245
13 R. M. Schabinger and J. D. Wells A minimal spontaneously broken hidden sector and its impact on Higgs boson physics at the large hadron collider PRD 72 (2005) 093007 hep-ph/0509209
14 B. Patt and F. Wilczek Higgs-field portal into hidden sectors link hep-ph/0605188
15 G. C. Branco et al. Theory and phenomenology of two-Higgs-doublet models Phys. Rept. 516 (2012) 1 1106.0034
16 P. Fayet Supergauge invariant extension of the Higgs mechanism and a model for the electron and its neutrino NPB 90 (1975) 104
17 P. Fayet Spontaneously broken supersymmetric theories of weak, electromagnetic and strong interactions PLB 69 (1977) 489
18 K. Agashe, H. Davoudiasl, G. Perez, and A. Soni Warped gravitons at the LHC and beyond PRD 76 (2007) 036006 hep-ph/0701186
19 A. L. Fitzpatrick, J. Kaplan, L. Randall, and L.-T. Wang Searching for the Kaluza-Klein graviton in Bulk RS models JHEP 09 (2007) 013 hep-ph/0701150
20 ATLAS Collaboration Search for heavy resonances decaying into a pair of Z bosons in the $\ell^{+}\ell^{-}\ell^{'+}\ell^{'-} $ and $\ell^{+}\ell^{-}\nu\overline{\nu} $ final states using 139 fb$ ^{-1} $ of proton-proton collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector EPJC 81 (2021) 332 2009.14791
21 CMS Collaboration Search for a new scalar resonance decaying to a pair of Z bosons in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 06 (2018) 127 CMS-HIG-17-012
1804.01939
22 ATLAS Collaboration Search for heavy diboson resonances in semileptonic final states in pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector EPJC 80 (2020) 1165 2004.14636
23 CMS Collaboration Search for heavy resonances decaying to ZZ or ZW and axion-like particles mediating nonresonant ZZ or ZH production at $ \sqrt{s} = $ 13 TeV JHEP 04 (2022) 087 2111.13669
24 CMS Collaboration Search for heavy resonances decaying to $ \mathrm{Z}(\nu\overline{\nu})\mathrm{V}(\mathrm{q}{\overline{\mathrm{q}}}{\prime}) $ in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRD 106 (2022) 012004 2109.08268
25 ATLAS Collaboration Search for diboson resonances in hadronic final states in 139 fb$ ^{-1} $ of pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 09 (2019) 091 1906.08589
26 CMS Collaboration Search for new heavy resonances decaying to WW, WZ, ZZ, WH, or ZH boson pairs in the all-jets final state in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PLB 844 (2023) 137813 2210.00043
27 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
28 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 01 (2019) 051 1808.01365
29 ATLAS Collaboration Search for resonances decaying into a weak vector boson and a Higgs boson in the fully hadronic final state produced in proton-proton collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRD 102 (2020) 112008 2007.05293
30 ATLAS Collaboration Study of high-transverse-momentum Higgs boson production in association with a vector boson in the $ \mathrm{q}\mathrm{q}\mathrm{b}\mathrm{b} $ final state with the ATLAS detector PRL 132 (2024) 131802 2312.07605
31 ATLAS Collaboration Search for heavy resonances decaying into a Z or W boson and a Higgs boson in final states with leptons and b-jets in 139 fb$ ^{-1} $ of pp collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector JHEP 06 (2023) 016 2207.00230
32 CMS Collaboration Search for a heavy resonance decaying into a Z and a Higgs boson in events with an energetic jet and two electrons, two muons, or missing transverse momentum in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 02 (2025) 089 2411.00202
33 ATLAS Collaboration Search for resonant and non-resonant Higgs boson pair production in the $ \mathrm{b}\overline{\mathrm{b}}\tau^{+}\tau^{-} $ decay channel using 13 TeV pp collision data from the ATLAS detector JHEP 07 (2023) 40 2209.10910
34 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 11 (2020) 163 2007.14811
35 CMS Collaboration Search for new resonances decaying to a pair of Higgs bosons in the \bbtautau final state In preparation, B2G-24-011, 2026
36 CMS Collaboration Search for heavy resonances decaying into two Higgs bosons in the \bbtautau final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV Submitted to Eur. Phys. J. C, 2026 2601.20011
37 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 $ \sqrt{s} = $ 13 TeV PLB 842 (2023) 137531 CMS-HIG-20-010
2206.09401
38 LHC Higgs Cross Section Working Group Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the Higgs sector CERN Report CERN-2017-002-M, 2016
link
1610.07922
39 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
40 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
41 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
42 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
43 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
44 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
45 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
46 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
47 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) 79 1405.0301
48 F. Cascioli et al. ZZ production at hadron colliders in NNLO QCD PLB 735 (2014) 311 1405.2219
49 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
50 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
51 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
52 F. Granata, J. M. Lindert, C. Oleari, and S. Pozzorini NLO QCD+EW predictions for HV and HV+jet production including parton-shower effects JHEP 09 (2017) 012 1706.03522
53 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
54 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
55 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 61 1209.6215
56 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2007) 473 0706.2569
57 T. Sjöstrand et al. An introduction to PYTHIA 8.2 Comp. Phys. Commun. 191 (2015) 159 1410.3012
58 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
59 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
60 GEANT Collaboration GEANT 4 --- a simulation toolkit NIM A 506 (2003) 250
61 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
62 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
link
63 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019) P07004 CMS-JME-17-001
1903.06078
64 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_{\mathrm{T}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
65 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
66 CMS Collaboration Pileup mitigation at CMS in $ \sqrt{s}= $ 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
67 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
68 CMS Collaboration Jet energy scale and resolution in the CMS experiment in proton-proton collisions at $ \sqrt{s}= $ 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
69 CMS Collaboration Jet energy scale and resolution measurement with Run-2 legacy data collected by CMS at $ \sqrt{s}= $ 13 TeV CMS Detector Performance Summary CMS-DP-2021-033, CERN, 2021
CDS
70 E. Bols et al. Jet flavour classification using DeepJet JINST 15 (2020) P12012 2008.10519
71 CMS Collaboration Performance summary of AK4 jet b tagging with data from proton-proton collisions at 13 TeV with the CMS detector CMS Detector Performance Summary CMS-DP-2023-005, 2023
CDS
72 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
73 H. Qu and L. Gouskos Jet tagging via particle clouds PRD 101 (2020) 056019 1902.08570
74 CMS Collaboration Performance of heavy-flavour jet identification in Lorentz-boosted topologies in proton-proton collisions at $\sqrt{s}$ = 13 TeV JINST 20 (2025) P11006 CMS-BTV-22-001
2510.10228
75 Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber Better jet clustering algorithms JHEP 08 (1997) 001 hep-ph/9707323
76 M. Wobisch and T. Wengler Hadronization corrections to jet cross-sections in deep inelastic scattering in Proceedings of the Workshop on Monte Carlo Generators for HERA Physics, Hamburg, Germany, 1998
link
hep-ph/9907280
77 M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam Towards an understanding of jet substructure JHEP 09 (2013) 029 1307.0007
78 J. M. Butterworth, A. R. Davison, M. Rubin, and G. P. Salam Jet substructure as a new Higgs search channel at the LHC PRL 100 (2008) 242001 0802.2470
79 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
80 CMS Collaboration Measurement of the production cross section of a Higgs boson with large transverse momentum in its decays to a pair of $ \tau $ leptons in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PLB 857 (2024) 138964 CMS-HIG-21-017
2403.20201
81 CMS Collaboration Identification of hadronic tau lepton decays using a deep neural network JINST 17 (2022) P07023 CMS-TAU-20-001
2201.08458
82 CMS Collaboration Performance of boosted tau lepton identification with DeepTau framework (Boosted DeepTau) CMS Detector Performance Summary CMS-DP-2025-047, 2025
CDS
83 CMS Collaboration ECAL 2016 refined calibration and Run2 summary plots CMS Detector Performance Summary CMS-DP-2020-021, 2020
CDS
84 CMS Collaboration Performance of the CMS electromagnetic calorimeter in pp collisions at $ \sqrt{s}= $ 13 TeV JINST 19 (2024) P09004 CMS-EGM-18-002
2403.15518
85 W. Matyszkiewicz and A. Kalinowski Tau-pair invariant mass estimation using maximum likelihood estimation and collinear approximation --A21, 2025
Acta Phys. Pol. B Proc. Suppl. 18 (2025) 5
86 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
87 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft drop JHEP 05 (2014) 146 1402.2657
88 P. Baldi et al. Parameterized neural networks for high-energy physics EPJC 76 (2016) 235 1601.07913
89 F. Rosenblatt The perceptron: a probabilistic model for information storage and organization in the brain Psychological Review 65 (1957) 386
90 S. Linnainmaa Taylor expansion of the accumulated rounding error BIT Numerical Mathematics 16 (1976) 146
91 P. J. Werbos Applications of advances in nonlinear sensitivity analysis in System Modeling and Optimization, th IFIP Conference, Springer, 1981
Proceedings of the 1 (1981) 762
92 D. E. Rumelhart , G. E. Hinton , and R. J. Williams Learning representations by back-propagating errors Nature 323 (1986) 533
93 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
94 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV with the CMS detector CMS Physics Analysis Summary, 2025
CMS-PAS-LUM-20-001
CMS-PAS-LUM-20-001
95 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
96 R. J. Barlow and C. Beeston Fitting using finite Monte Carlo samples Comput. Phys. Commun. 77 (1993) 219
97 J. S. Conway Incorporating nuisance parameters in likelihoods for multisource spectra in Proceedings of the orkshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding, 2011
PHYSTAT 2011 (2011) 115
1103.0354
98 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
99 ATLAS and CMS Collaborations, and LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in Summer 2011 Technical Report CMS-NOTE-2011-005, ATL-PHYS-PUB-2011-11, 2011
100 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
101 CMS Collaboration The CMS statistical analysis and combination tool: Combine Comput. Softw. Big Sci. 8 (2024) 19 CMS-CAT-23-001
2404.06614
102 W. Verkerke and D. Kirkby The RooFit toolkit for data modeling in th International Conference on Computing in High Energy and Nuclear Physics (CHEP ): La Jolla CA, United States, March 24--28,, 2003
Proc. 1 (2003) 3
physics/0306116
103 L. Moneta et al. The RooStats project in th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT ): Jaipur, India, February 22--27,, 2010
Proc. 1 (2010) 3
1009.1003
104 L. Demortier P values and nuisance parameters in Statistical issues for LHC physics. Proceedings, Workshop, PHYSTAT-LHC, Geneva, Switzerland, June 27-29,, 2007
link
105 A. L. Read Presentation of search results: The $ \text{CL}_\text{s} $ technique JPG 28 (2002) 2693
106 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
107 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
Compact Muon Solenoid
LHC, CERN