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CMS-HIG-21-015 ; CERN-EP-2022-131
Search for the Higgs boson decay to a pair of electrons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
Phys. Lett. B 846 (2023) 137783
Abstract: A search is presented for the Higgs boson decay to a pair of electrons (e$^{+}$e$^{-}$) in proton-proton collisions at $\sqrt{s}=$ 13 TeV. The data set was collected with the CMS experiment at the LHC between 2016 and 2018, corresponding to an integrated luminosity of 138 fb$^{-1}$. The analysis uses event categories targeting Higgs boson production via gluon fusion and vector boson fusion. The observed upper limit on the Higgs boson branching fraction to an electron pair is 3.0 $\times$ 10$^{-4}$ (3.0 $\times$ 10$^{-4}$ expected) at the 95% confidence level, which is the most stringent limit on this branching fraction to date.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Distribution of the output score of the VBF BDT in all simulated background and signal events, and data (left), passing VBF preselection. The ggH and VBF signals are scaled for better visibility. Category boundaries targeting VBF production are denoted with dashed lines. The shaded region defines events which are not selected to enter VBF analysis categories, but may populate those targeting ggH. The right plot shows the distribution of the output score of the VBF BDT in a control region around the Z boson mass. The combined impact of the statistical and systematic uncertainties in simulation is shown by the red shaded band, where the systematic component includes uncertainties on the jet energy scale and resolution corrections, alongside the electron energy scale corrections. Uncertainties in the efficiency of electron identification, reconstruction, and trigger selection are also included, as well as the uncertainty on the integrated luminosity, presented in Section 7. Good agreement is observed between the DY simulation (filled histogram) and data (black markers), within the phase space in which the analysis categories are constructed.

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Figure 1-a:
Distribution of the output score of the VBF BDT in all simulated background and signal events, and data, passing VBF preselection. The ggH and VBF signals are scaled for better visibility. Category boundaries targeting VBF production are denoted with dashed lines. The shaded region defines events which are not selected to enter VBF analysis categories, but may populate those targeting ggH. The combined impact of the statistical and systematic uncertainties in simulation is shown by the red shaded band, where the systematic component includes uncertainties on the jet energy scale and resolution corrections, alongside the electron energy scale corrections. Uncertainties in the efficiency of electron identification, reconstruction, and trigger selection are also included, as well as the uncertainty on the integrated luminosity, presented in Section 7.

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Figure 1-b:
Distribution of the output score of the VBF BDT in a control region around the Z boson mass. The combined impact of the statistical and systematic uncertainties in simulation is shown by the red shaded band, where the systematic component includes uncertainties on the jet energy scale and resolution corrections, alongside the electron energy scale corrections. Uncertainties in the efficiency of electron identification, reconstruction, and trigger selection are also included, as well as the uncertainty on the integrated luminosity, presented in Section 7. Good agreement is observed between the DY simulation (filled histogram) and data (black markers), within the phase space in which the analysis categories are constructed.

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Figure 2:
Distribution of the output score of the ggH BDT in simulated background and signal events, and data (left). The ggH and VBF signals are scaled such that they are visible. Category boundaries targeting ggH Higgs boson production are denoted with dashed lines. Events with scores in the grey shaded region are discarded from the analysis. The right plot shows the distribution of the output score of the ggH BDT in a control region around the Z boson mass. Agreement is compared between the DY simulation (filled histogram) and data (black points). The combined impact of the statistical and systematic uncertainties in simulation is shown by the red shaded band, where the sources contributing to the systematic component are identical to those included in Fig. 1. Residual differences between data and simulation are smaller than the ggH cross section uncertainty which is included in the final maximum likelihood fit.

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Figure 2-a:
Distribution of the output score of the ggH BDT in simulated background and signal events, and data. The ggH and VBF signals are scaled such that they are visible. Category boundaries targeting ggH Higgs boson production are denoted with dashed lines. Events with scores in the grey shaded region are discarded from the analysis.

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Figure 2-b:
Distribution of the output score of the ggH BDT in a control region around the Z boson mass. Agreement is compared between the DY simulation (filled histogram) and data (black points). The combined impact of the statistical and systematic uncertainties in simulation is shown by the red shaded band, where the sources contributing to the systematic component are identical to those included in Fig. 1. Residual differences between data and simulation are smaller than the ggH cross section uncertainty which is included in the final maximum likelihood fit.

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Figure 3:
Signal models for the highest S/B categories targeting ggH and VBF processes, integrated over production processes, for Higgs boson events simulated at $ {m_\mathrm{H}} = $ 125 GeV. Contributions from each of the three years are shown by the dashed lines. The models are normalized to unit area. The ${\sigma _{\text {eff}}}$ is the smallest interval containing 68.3% of the ${m_{\mathrm{e} \mathrm{e}}}$ signal distribution.

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Figure 3-a:
Signal models for the highest S/B category targeting the VBF process, integrated over production processes, for Higgs boson events simulated at $ {m_\mathrm{H}} = $ 125 GeV. Contributions from each of the three years are shown by the dashed lines. The models are normalized to unit area. The ${\sigma _{\text {eff}}}$ is the smallest interval containing 68.3% of the ${m_{\mathrm{e} \mathrm{e}}}$ signal distribution.

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Figure 3-b:
Signal models for the highest S/B categories targeting ggH and VBF processes, integrated over production processes, for Higgs boson events simulated at $ {m_\mathrm{H}} = $ 125 GeV. Contributions from each of the three years are shown by the dashed lines. The models are normalized to unit area. The ${\sigma _{\text {eff}}}$ is the smallest interval containing 68.3% of the ${m_{\mathrm{e} \mathrm{e}}}$ signal distribution.

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Figure 4:
The signal-plus-background model fit to the ${m_{\mathrm{e} \mathrm{e}}}$ distribution for the highest S/B analysis categories targeting the ggH (left) and VBF (right) processes. The signal model for each category is also shown, scaled to the observed limit at $ {m_\mathrm{H}} = $ 125.38 GeV. The one (green) and two (yellow) standard deviation bands show the uncertainties in the background component of the fit. The lower panel shows the residuals after subtraction of this background component. The background functions describe the data well, with no excess observed.

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Figure 4-a:
The signal-plus-background model fit to the ${m_{\mathrm{e} \mathrm{e}}}$ distribution for the highest S/B analysis categories targeting the ggH process. The signal model is also shown, scaled to the observed limit at $ {m_\mathrm{H}} = $ 125.38 GeV. The one (green) and two (yellow) standard deviation bands show the uncertainties in the background component of the fit. The lower panel shows the residuals after subtraction of this background component. The background functions describe the data well, with no excess observed.

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Figure 4-b:
The signal-plus-background model fit to the ${m_{\mathrm{e} \mathrm{e}}}$ distribution for the highest S/B analysis categories targeting the VBF process. The signal model is also shown, scaled to the observed limit at $ {m_\mathrm{H}} = $ 125.38 GeV. The one (green) and two (yellow) standard deviation bands show the uncertainties in the background component of the fit. The lower panel shows the residuals after subtraction of this background component. The background functions describe the data well, with no excess observed.

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Figure 5:
Expected and observed limits on ${\mathcal {B}({\mathrm{H} \to \mathrm{e^{+}} \mathrm{e^{-}}})}$ for a Higgs boson mass between 120-130 GeV.

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Figure 6:
Expected and observed limits on ${\mathcal {B}({\mathrm{H} \to \mathrm{e^{+}} \mathrm{e^{-}}})}$ for each analysis category, and all categories combined The results here are computed for $ {m_\mathrm{H}} = $ 125.38 GeV.
Tables

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Table 1:
The total expected number of signal events for $ {m_\mathrm{H}} = $ 125.38 GeV in analysis categories targeting ggH and VBF events, for an integrated luminosity of 138 fb$^{-1}$. The fractional contribution from each production mode to each category is also shown. The ${\sigma _{\text {eff}}}$, defined as the smallest interval containing 68.3% of the ${m_{\mathrm{e} \mathrm{e}}}$ distribution, is listed for each analysis category. The final column shows the expected ratio of signal to background, where S and B are the numbers of expected signal and background events in a $ \pm $1$ {\sigma _{\text {eff}}} $ window centred on $m_\mathrm{H}$.
Summary
A search for the Higgs boson decaying to an e$^{+}$e$^{-}$ pair is performed using proton-proton collision data collected at $\sqrt{s}=$ 13 TeV with the CMS experiment at the LHC between 2016-2018, corresponding to an integrated luminosity of 138 fb$^{-1}$. The analysis uses categories targeting Higgs boson production via gluon fusion and vector boson fusion, with dedicated boosted decision tree classifiers trained for each production mode to enhance the sensitivity of the resulting categories. A maximum likelihood fit to the dielectron mass distribution is performed simultaneously in each analysis category to extract an upper limit on the Higgs boson to electron pair branching fraction; the resulting observed (expected) limit at the 95% confidence level on the branching fraction for H $\to$ e$^{+}$e$^{-}$ decays is 3.0 $ \times$ 10$^{-4} $ (3.0 $ \times$ 10$^{-4} $). This is the most stringent limit on the Higgs boson branching fraction to an e$^{+}$e$^{-}$ pair to date. When compared with the previous best limit from the CMS Collaboration [18], where analysis categories were constructed using a selection on electron and jet kinematics, the improvement in sensitivity presented in this Letter is attributed primarily to the use of BDT classifiers, which significantly improve the S/B ratio of analysis categories. Accounting both for the increase in integrated luminosity and centre-of-mass energy, the use of BDT classifiers further improves the limit on $ \mathcal{B}(\mathrm{H}\to\mathrm{e}^+\mathrm{e}^-) $ by a factor of approximately 1.5.
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 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 Observation of Higgs boson decay to bottom quarks PRL 121 (2018) 121801 CMS-HIG-18-016
1808.08242
7 ATLAS Collaboration Observation of $ \mathrm{H} \to \mathrm{b}\mathrm{\bar{b}} $ decays and VH production with the ATLAS detector PLB 786 (2018) 59 1808.08238
8 CMS Collaboration Observation of the Higgs boson decay to a pair of $ \tau $ leptons with the CMS detector PLB 779 (2018) 283 CMS-HIG-16-043
1708.00373
9 ATLAS Collaboration Cross-section measurements of the Higgs boson decaying into a pair of $ \tau $-leptons in proton-proton collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PRD 99 (2019) 072001 1811.08856
10 CMS Collaboration Evidence for Higgs boson decay to a pair of muons JHEP 01 (2021) 148 CMS-HIG-19-006
2009.04363
11 F. Englert and R. Brout Broken symmetry and the mass of gauge vector mesons PRL 13 (1964) 321
12 P. W. Higgs Broken symmetries and the masses of gauge bosons PRL 13 (1964) 508
13 P. W. Higgs Spontaneous symmetry breakdown without massless bosons PR145 (1966) 1156
14 LHC Higgs Cross Section Working Group Handbook of LHC Higgs Cross Sections: 3. Higgs Properties technical report 1307.1347
15 A. Dery, C. Frugiuele, and Y. Nir Large Higgs-electron Yukawa coupling in 2HDM JHEP 04 (2018) 044 1712.04514
16 W. Altmannshofer, J. Brod, and M. Schmaltz Experimental constraints on the coupling of the Higgs boson to electrons JHEP 05 (2015) 125 1503.04830
17 G. F. Giudice and O. Lebedev Higgs-dependent Yukawa couplings PLB 665 (2008) 79 0804.1753
18 CMS Collaboration Search for a standard model-like Higgs boson in the $ \mu^{+}\mu^{-} $ and e$^{+}$e$^{-}$ decay channels at the LHC PLB 744 (2015) 184 CMS-HIG-13-007
1410.6679
19 ATLAS Collaboration Search for the Higgs boson decays $ \mathrm{H} \to \mathrm{e}\mathrm{e} $ and $ \mathrm{H} \to \mathrm{e}\mu $ in pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector PLB 801 (2020) 135148 1909.10235
20 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
21 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
22 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
23 CMS Collaboration ECAL 2016 refined calibration and Run2 summary plots CDS
24 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
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 The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
28 CMS Collaboration Measurements of Higgs boson production cross sections and couplings in the diphoton decay channel at $ \sqrt{s} = $ 13 TeV JHEP 07 (2021) 027 CMS-HIG-19-015
2103.06956
29 P. D. Dauncey, M. Kenzie, N. Wardle, and G. J. Davies Handling uncertainties in background shapes: the discrete profiling method JINST 10 (2015) P04015 1408.6865
30 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
31 K. Hamilton, P. Nason, E. Re, and G. Zanderighi NNLOPS simulation of Higgs boson production JHEP 10 (2013) 222 1309.0017
32 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
33 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
34 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
35 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
36 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
37 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA-8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
38 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
39 LHC Higgs Cross Section Working Group Handbook of LHC Higgs Cross Sections: 4. Deciphering the nature of the Higgs sector technical report 1610.07922
40 GEANT4 Collaboration GEANT4--a simulation toolkit NIMA 506 (2003) 250
41 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
42 D. L. Rainwater, R. Szalapski, and D. Zeppenfeld Probing color-singlet exchange in Z+2-jet events at the CERN LHC PRD 54 (1996) 6680 hep-ph/9605444
43 CMS Collaboration Jet algorithms performance in 13 TeV data CMS-PAS-JME-16-003 CMS-PAS-JME-16-003
44 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
45 CMS Collaboration Measurement of the inclusive W and Z production cross sections in pp collisions at $ \sqrt{s} = $ 7 TeV JHEP 10 (2011) 132 CMS-EWK-10-005
1107.4789
46 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
47 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
48 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
49 R. A. Fisher On the interpretation of $ \chi^2 $ from contingency tables, and the calculation of p J. R. Stat. Soc. 85 (1922) 87
50 G. Passarino Higgs boson production and decay: Dalitz sector PLB 727 (2013) 424 1308.0422
51 A. L. Read Presentation of search results: The CLs technique JPG 28 (2002) 2693
52 T. Junk Confidence level computation for combining searches with small statistics NIMA 434 (1999) 435 hep-ex/9902006
53 ATLAS and CMS Collaborations, and LHC Higgs Combination Group Procedure for the LHC Higgs boson search combination in Summer 2011 CMS-NOTE-2011-005
54 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
55 CMS Collaboration A measurement of the Higgs boson mass in the diphoton decay channel PLB 805 (2020) 135425 CMS-HIG-19-004
2002.06398
56 CMS Collaboration HEPData record for this analysis link
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