CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-HIG-19-013 ; CERN-EP-2020-028
Measurements of ${\mathrm{t\bar{t}}\mathrm{H}} $ production and the CP structure of the Yukawa interaction between the Higgs boson and top quark in the diphoton decay channel
Phys. Rev. Lett. 125 (2020) 061801
Abstract: The first observation of the ${\mathrm{t\bar{t}}\mathrm{H}}$ process in a single Higgs boson decay channel with the full reconstruction of the final state (${\mathrm{H} \to \gamma\gamma} $) is presented, with a significance of 6.6 standard deviations ($\sigma$). The CP structure of Higgs boson couplings to fermions is measured, resulting in an exclusion of the pure CP-odd structure of the top Yukawa coupling at 3.2$\sigma$. The measurements are based on a sample of proton-proton collisions at a center-of-mass energy $\sqrt{s}=$ 13 TeV collected by the CMS detector at the LHC, corresponding to an integrated luminosity of 137 fb$^{-1}$. The cross section times branching fraction of the ${\mathrm{t\bar{t}}\mathrm{H}}$ process is measured to be ${\sigma_{{\mathrm{t\bar{t}}\mathrm{H}} } \mathcal{B}_{\gamma\gamma}}= $ 1.56$^{+0.34}_{-0.32}$ fb, which is compatible with the standard model prediction of 1.13$^{+0.08}_{-0.11}$ fb. The fractional contribution of the CP-odd component is measured to be ${f_{\mathrm{CP}}^{{\mathrm{H}\mathrm{t}\mathrm{t}} }} =$ 0.00 $\pm$ 0.33.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

png pdf
Figure 1:
Distributions of BDT-bkg output used for event categorization, for the hadronic (left) and the leptonic (right) channels. Category boundaries for the signal strength (CP) measurements are shown with thinly (thickly) dashed lines. Events shown are taken from the ${m_{\gamma \gamma}}$ sidebands, satisfying either 100 $ < {m_{\gamma \gamma}} < $ 120 GeV or 130 $ < {m_{\gamma \gamma}} < $ 180 GeV. Events in the grey shaded region are not considered in the analysis. Statistical (statistical $\oplus $ systematic) background uncertainties are represented by the black (red) shaded bands.

png pdf
Figure 1-a:
Distribution of the BDT-bkg output used for event categorization, for the hadronic channel. Category boundaries for the signal strength (CP) measurements are shown with thinly (thickly) dashed lines. Events shown are taken from the ${m_{\gamma \gamma}}$ sidebands, satisfying either 100 $ < {m_{\gamma \gamma}} < $ 120 GeV or 130 $ < {m_{\gamma \gamma}} < $ 180 GeV. Events in the grey shaded region are not considered in the analysis. Statistical (statistical $\oplus $ systematic) background uncertainties are represented by the black (red) shaded bands.

png pdf
Figure 1-b:
Distribution of the BDT-bkg output used for event categorization, for the leptonic channel. Category boundaries for the signal strength (CP) measurements are shown with thinly (thickly) dashed lines. Events shown are taken from the ${m_{\gamma \gamma}}$ sidebands, satisfying either 100 $ < {m_{\gamma \gamma}} < $ 120 GeV or 130 $ < {m_{\gamma \gamma}} < $ 180 GeV. Events in the grey shaded region are not considered in the analysis. Statistical (statistical $\oplus $ systematic) background uncertainties are represented by the black (red) shaded bands.

png pdf
Figure 2:
Invariant mass distribution for the selected events (black points) weighted by S/(S + B), where S (B) is the numbers of expected signal (background) events in a $ \pm $1$\sigma _{\mathrm {eff}}$ mass window centered on ${m_{\mathrm{H}}}$. The $\sigma _{\mathrm {eff}}$ is defined as the smallest interval containing 68.3% of the ${m_{\gamma \gamma}}$ distribution, and ranges from 1.2 to 1.6% for different categories. We show curves for fitted signal $\oplus $ background (solid red) and for background only (dashed red), with bands covering the $ \pm $1$ \sigma $ and $ \pm$2$ \sigma $ uncertainties in the fitted background. The inner panel shows the likelihood scan for $\mu _{{{\mathrm{t} {}\mathrm{\bar{t}}} \mathrm{H}}}$ with ${m_{\mathrm{H}}}$ profiled.

png pdf
Figure 3:
The distribution of events weighted by S/(S + B), as in Fig. 2, in three bins of the $\mathcal {D}_{0-}$ discriminant. In this display, leptonic/hadronic channels and BDT-bkg categories are combined in the mass range 115 $ < {m_{\gamma \gamma}} < $ 135 GeV and the background contribution, as determined in the fit to data, is subtracted. The inner panel shows the likelihood scan for $ {| {f_{\mathrm {CP}}^{{\mathrm{H} \mathrm{t} \mathrm{t}}}} |}$.
Tables

png pdf
Table 1:
The expected number of H events in the hadronic and leptonic channels per category and the fractional contribution per H production mode.
Summary
To conclude, we presented the first single-channel observation of the ${\mathrm{t\bar{t}}\mathrm{H}}$ process and the first measurement of the CP structure of the Htt coupling using the ${\mathrm{H \to \gamma\gamma}}$ channel. The cross section of the ${\mathrm{t\bar{t}}\mathrm{H}}$ process is measured to be ${\sigma_{{\mathrm{t\bar{t}}\mathrm{H}} } \mathcal{B}_{\gamma\gamma}} = $ 1.56$^{+0.34}_{-0.32}$ fb, corresponding to 1.38$^{+0.36}_{-0.29}$ times the SM prediction, with a significance of 6.6$\sigma$. The data disfavor the pure CP-odd model of the ${\mathrm{Ht\bar{t}}}$ coupling at 3.2$\sigma$, and a possible fractional CP-odd contribution is constrained to be $f^{\text{Htt}}_{\text{CP}}=$ 0.00 $\pm$ 0.33 at 68% CL.
Additional Figures

png pdf
Additional Figure 1:
Distributions of the output of the BDTs evaluated with events from the ttZ control region, for the hadronic channel. The shaded bands show the statistical and systematic uncertainties.

png pdf
Additional Figure 2:
Distributions of the output of the BDTs evaluated with events from the ttZ control region, for the leptonic channel. The shaded bands show the statistical and systematic uncertainties.

png pdf
Additional Figure 3:
Data and signal-plus-background model fits in ttH Hadronic Tag 1 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 4:
Data and signal-plus-background model fits in ttH Hadronic Tag 2 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 5:
Data and signal-plus-background model fits in ttH Hadronic Tag 3 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 6:
Data and signal-plus-background model fits in ttH Hadronic Tag 4 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 7:
Data and signal-plus-background model fits in ttH Leptonic Tag 1 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 8:
Data and signal-plus-background model fits in ttH Leptonic Tag 2 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 9:
Data and signal-plus-background model fits in ttH Leptonic Tag 3 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 10:
Data and signal-plus-background model fits in ttH Leptonic Tag 3 category are shown. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 11:
Data and signal-plus-background model fits for all categories summed. The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 12:
Data and signal-plus-background model fits for all categories summed weighted by their sensitivity (right). The one (green) and two (yellow) standard deviation bands include the uncertainties in the background component of the fit. The lower panel shows the residuals after the background subtraction.

png pdf
Additional Figure 13:
observed likelihood scan, produced with a simultaneous fit to the $m_{\gamma \gamma}$ distributions of all categories and with $m_H$ profiled.

png pdf
Additional Figure 14:
Data distribution in hadronic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 15:
Data distribution in hadronic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 16:
Data distribution in hadronic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 17:
Data distribution in hadronic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 18:
Data distribution in hadronic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 19:
Data distribution in hadronic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 20:
Data distribution in leptonic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 21:
Data distribution in leptonic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 22:
Data distribution in leptonic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 23:
Data distribution in leptonic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 24:
Data distribution in leptonic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 25:
Data distribution in leptonic channel. The total signal and background models are shown in red ($f_{CP}=$ 0) and blue ($f_{CP}=$ 1).

png pdf
Additional Figure 26:
Expected and observed likelihood scans of the $f_{CP}$ parameter.
References
1 ATLAS Collaboration Observation of a new particle in the search for the standard model Higgs boson with the 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 Observation of a new boson with mass near 125 GeV in pp collisions at $ \sqrt{s} = $ 7 and 8 TeV JHEP 06 (2013) 081 CMS-HIG-12-036
1303.4571
4 CMS Collaboration Observation of ttH production PRL 120 (2018) 231801 CMS-HIG-17-035
1804.02610
5 ATLAS Collaboration Observation of Higgs boson production in association with a top quark pair at the LHC with the ATLAS detector PLB 784 (2018) 173 1806.00425
6 CMS Collaboration On the mass and spin-parity of the Higgs boson candidate via its decays to Z boson pairs PRL 110 (2013) 081803 CMS-HIG-12-041
1212.6639
7 CMS Collaboration Measurement of the properties of a Higgs boson in the four-lepton final state PRD 89 (2014) 092007 CMS-HIG-13-002
1312.5353
8 CMS Collaboration Constraints on the spin-parity and anomalous HVV couplings of the Higgs boson in proton collisions at 7 and 8 TeV PRD 92 (2015) 012004 CMS-HIG-14-018
1411.3441
9 CMS Collaboration Limits on the Higgs boson lifetime and width from its decay to four charged leptons PRD 92 (2015) 072010 CMS-HIG-14-036
1507.06656
10 CMS Collaboration Combined search for anomalous pseudoscalar HVV couplings in VH ($ \mathrm{H}\to\mathrm{b\bar{b}} $) production and $ \mathrm{H}\to\mathrm{VV} $ decay PLB 759 (2016) 672 CMS-HIG-14-035
1602.04305
11 CMS Collaboration Constraints on anomalous Higgs boson couplings using production and decay information in the four-lepton final state PLB 775 (2017) 1 CMS-HIG-17-011
1707.00541
12 CMS Collaboration Measurements of the Higgs boson width and anomalous HVV couplings from on-shell and off-shell production in the four-lepton final state PRD 99 (2019) 112003 CMS-HIG-18-002
1901.00174
13 CMS Collaboration Constraints on anomalous HVV couplings from the production of Higgs bosons decaying to $ \tau $ lepton pairs PRD 100 (2019) 112002 CMS-HIG-17-034
1903.06973
14 ATLAS Collaboration Evidence for the spin-0 nature of the Higgs boson using ATLAS data PLB 726 (2013) 120 1307.1432
15 ATLAS Collaboration Study of the spin and parity of the Higgs boson in diboson decays with the ATLAS detector EPJC 75 (2015) 476 1506.05669
16 ATLAS Collaboration Test of CP invariance in vector-boson fusion production of the Higgs boson using the optimal observable method in the ditau decay channel with the ATLAS detector EPJC 76 (2016) 658 1602.04516
17 ATLAS Collaboration Measurement of inclusive and differential cross sections in the $ \mathrm{H} \rightarrow \mathrm{Z}\mathrm{Z}^{*} \rightarrow 4\ell $ decay channel in $ {\mathrm{p}}{\mathrm{p}} $ collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 10 (2017) 132 1708.02810
18 ATLAS Collaboration Measurement of the Higgs boson coupling properties in the $ \mathrm{H}\rightarrow \mathrm{Z}\mathrm{Z}^{*} \rightarrow 4\ell $ decay channel at $ \sqrt{s} = $ 13 TeV with the ATLAS detector JHEP 03 (2018) 095 1712.02304
19 ATLAS Collaboration Measurements of Higgs boson properties in the diphoton decay channel with 36 $ fb$^{-1} of $ {\mathrm{p}}{\mathrm{p}} $ collision data at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRD 98 (2018) 052005 1802.04146
20 J. F. Gunion and X.-G. He Determining the CP nature of a neutral Higgs boson at the LHC PRL 76 (1996) 4468 hep-ph/9602226
21 F. Demartin et al. Higgs characterisation at NLO in QCD: CP properties of the top-quark Yukawa interaction EPJC 74 (2014) 3065 1407.5089
22 A. V. Gritsan, R. Rontsch, M. Schulze, and M. Xiao Constraining anomalous Higgs boson couplings to the heavy flavor fermions using matrix element techniques PRD 94 (2016) 055023 1606.03107
23 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
24 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
25 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
26 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
27 CMS Collaboration Technical proposal for the phase-II upgrade of the compact muon solenoid CMS-PAS-TDR-15-002 CMS-PAS-TDR-15-002
28 CMS Collaboration Identification of heavy-flavor jets with the CMS detector in pp collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
29 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
30 LHC Higgs Cross Section Working Group Handbook of LHC Higgs cross sections: 4. deciphering the nature of the Higgs sector CERN (2016) 1610.07922
31 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
32 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
33 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
34 H. B. Hartanto, B. Jager, L. Reina, and D. Wackeroth Higgs boson production in association with top quarks in the POWHEG BOX PRD 91 (2015) 094003 1501.04498
35 Y. Gao et al. Spin determination of single-produced resonances at hadron colliders PRD 81 (2010) 075022 1001.3396
36 S. Bolognesi et al. Spin and parity of a single-produced resonance at the LHC PRD 86 (2012) 095031 1208.4018
37 I. Anderson et al. Constraining anomalous HVV interactions at proton and lepton colliders PRD 89 (2014) 035007 1309.4819
38 T. Gleisberg et al. Event generation with SHERPA 1.1 JHEP 02 (2009) 007 0811.4622
39 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
40 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
41 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) CMS-GEN-17-001
1903.12179
42 \GEANTfour Collaboration GEANT4--a simulation toolkit NIMA 506 (2003) 250
43 CMS Collaboration The CMS trigger system JINST 12 (2017), no. 01, P01020 CMS-TRG-12-001
1609.02366
44 CMS Collaboration Measurements of Higgs boson properties in the diphoton decay channel in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 11 (2018) 185 CMS-HIG-16-040
1804.02716
45 E. Spyromitros-Xioufis, W. Groves, G. Tsoumakas, and I. Vlahavas Multi-target regression via input space expansion: treating targets as inputs Mach Learn 104 (2016) 1211.6581
46 T. Chen and C. Guestrin XGBoost: A scalable tree boosting system in Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, New York, 2016
47 CMS Collaboration Search for direct production of supersymmetric partners of the top quark in the all-jets final state in proton-proton collisions at $ \sqrt{s}= $ 13 TeV JHEP 10 (2017) 005 CMS-SUS-16-049
1707.03316
48 S. Hochreiter and J. Schmidhuber Long short-term memory Neur. Comp. 9 (1997) 1735
49 M. J. Oreglia A study of the reactions $\psi' \to \gamma\gamma \psi$ PhD thesis, Stanford University, 1980 SLAC Report SLAC-R-236, see Appendix D
50 P. D. Dauncey, M. Kenzie, N. Wardle, and G. J. Davies Handling uncertainties in background shapes JINST 10 (2015) P04015 1408.6865
51 The ATLAS Collaboration, The CMS Collaboration, The LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in Summer 2011 CMS-NOTE-2011-005
52 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
53 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
54 CMS Collaboration CMS luminosity measurements for the 2016 data-taking period CMS-PAS-LUM-17-001 CMS-PAS-LUM-17-001
55 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
56 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
57 A. V. Gritsan et al. New features in the JHU generator framework 2002.09888
58 CMS Collaboration Search for associated production of a Higgs boson and a single top quark in proton-proton collisions at $ \sqrt{s} = $ 13 TeV PRD 99 (2019) 092005 CMS-HIG-18-009
1811.09696
59 G. J. Feldman and R. D. Cousins A unified approach to the classical statistical analysis of small signals PRD 57 (1998) 3873 physics/9711021
Compact Muon Solenoid
LHC, CERN