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CMS-PAS-HIG-24-007
A measurement of the Higgs boson mass in the diphoton decay channel with the CMS detector
Abstract: A measurement of the Higgs boson mass in the diphoton decay channel is performed using proton-proton collision data at a centre-of-mass energy of 13 TeV. The dataset recorded with the CMS detector between 2016 and 2018 is used, corresponding to an integrated luminosity of 138 $ \textrm{fb}^{-1} $. A refined detector calibration and new analysis techniques have been used to improve the precision of these results over earlier measurements. The Higgs boson mass is measured to be $ m_{\textrm{H}} = $ 125.14 $ \pm $ 0.10 $ \textrm{(stat)} \pm 0.11 \textrm{(syst)} \textrm{GeV} $. In addition, a combination with the Run 1 mass measurement at 7 and 8 $ \textrm{TeV} $ in the diphoton final state is performed resulting in $ m_{\textrm{H}} = $ 125.07 $ \pm $ 0.09 $ \textrm{(stat)} \pm 0.10 \textrm{(syst)} \textrm{GeV} $.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Comparison of the dielectron invariant mass distribution in data and simulation for $ \mathrm{Z}\rightarrow\mathrm{e}\mathrm{e} $ events after applying only the electron energy corrections. Both electrons are required to have $ E_\mathrm{T} > $ 50 GeV and to be reconstructed in the ECAL barrel region. The error bands account for the statistical uncertainty and the systematic uncertainty associated with the energy scale corrections.

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Figure 2:
Photon energy scale corrections as a function of $ |\eta_\gamma| $ in two $ E_{\mathrm{T}} $ bins, using $ \mathrm{Z}\rightarrow\mu\mu\gamma $ events, after applying the electron energy scale and uniformity corrections. The shaded bands indicate the statistical uncertainties from the simulation, while the error bars show the total statistical uncertainties.

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Figure 3:
Comparison of the three-body invariant mass distribution in data and simulation for $ \mathrm{Z}\rightarrow\mu\mu\gamma $ events in the ECAL barrel region ($ |\eta_\gamma| < $ 1.44) with $ E_{\mathrm{T},\gamma} > $ 50 GeV. The left panel shows the distribution after the first two calibration stages, without the final photon energy scale correction derived from FSR photons. The right panel shows the same distribution after applying the final photon energy scale corrections.

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Figure 3-a:
Comparison of the three-body invariant mass distribution in data and simulation for $ \mathrm{Z}\rightarrow\mu\mu\gamma $ events in the ECAL barrel region ($ |\eta_\gamma| < $ 1.44) with $ E_{\mathrm{T},\gamma} > $ 50 GeV. The left panel shows the distribution after the first two calibration stages, without the final photon energy scale correction derived from FSR photons. The right panel shows the same distribution after applying the final photon energy scale corrections.

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Figure 3-b:
Comparison of the three-body invariant mass distribution in data and simulation for $ \mathrm{Z}\rightarrow\mu\mu\gamma $ events in the ECAL barrel region ($ |\eta_\gamma| < $ 1.44) with $ E_{\mathrm{T},\gamma} > $ 50 GeV. The left panel shows the distribution after the first two calibration stages, without the final photon energy scale correction derived from FSR photons. The right panel shows the same distribution after applying the final photon energy scale corrections.

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Figure 4:
Signal model for the analysis category with the best mass resolution (left), and for all categories combined after scaling by their corresponding $ \textrm{S/(S+B)} $ ratios (right), for a simulated $ \mathrm{H}\rightarrow\gamma\gamma $ signal sample with $ m_{\textrm{H}} = $ 125 GeV. All Higgs boson production modes are summed.

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Figure 4-a:
Signal model for the analysis category with the best mass resolution (left), and for all categories combined after scaling by their corresponding $ \textrm{S/(S+B)} $ ratios (right), for a simulated $ \mathrm{H}\rightarrow\gamma\gamma $ signal sample with $ m_{\textrm{H}} = $ 125 GeV. All Higgs boson production modes are summed.

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Figure 4-b:
Signal model for the analysis category with the best mass resolution (left), and for all categories combined after scaling by their corresponding $ \textrm{S/(S+B)} $ ratios (right), for a simulated $ \mathrm{H}\rightarrow\gamma\gamma $ signal sample with $ m_{\textrm{H}} = $ 125 GeV. All Higgs boson production modes are summed.

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Figure 5:
Uncertainties in the energy scale as a function of $ E_\mathrm{T} $ in the barrel region, derived from $ \mathrm{Z}\rightarrow\mu\mu\gamma $ events. The shaded bands indicate the statistical and total uncertainties, while the dashed lines show the individual contributions from the electromagnetic shower modelling, muon momentum scale and non-linearity.

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Figure 6:
Data and combined signal and background model fit for all analysis categories, unweighted (left) and 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 is subtracted.

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Figure 6-a:
Data and combined signal and background model fit for all analysis categories, unweighted (left) and 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 is subtracted.

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Figure 6-b:
Data and combined signal and background model fit for all analysis categories, unweighted (left) and 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 is subtracted.

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Figure 7:
Likelihood scans of the Higgs boson mass measured in the $ \mathrm{H}\rightarrow\gamma\gamma $ decay channel for the Run 1 and Run 2 datasets, and their combination. Solid lines show the full likelihood scan including systematic uncertainties, while dashed lines correspond to the statistical-only case.

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Figure 8:
Summary of the ATLAS and CMS Higgs boson mass measurements using the diphoton and the four-lepton final states, combing Run 1 and Run 2 results. The black point represents the best fit value of each measurement. The yellow and grey bands show the statistical and systematic uncertainties in each measurement, respectively. The horizontal black bars show the total uncertainties. The value of each measurement is given, along with the total uncertainties, splitting statistical only and systematic only uncertainties in parentheses.
Tables

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Table 1:
Observed impact of the different sources of systematic uncertainty in the measurement of $ m_{\textrm{H}} $
Summary
A new measurement of the Higgs boson mass has been conducted in the diphoton decay channel, utilising the complete dataset collected by CMS between 2016 and 2018 during Run 2 at $ \sqrt{s} = $ 13 TeV at the CERN LHC. New analysis techniques, enabled by the increased integrated luminosity, were used to improve the measurement precision, refine the detector calibration, and derive corrections accounting for differences between photons and electrons. The main improvements with respect to the previous analysis [8] include the derivation of granular $ E_\mathrm{T} $-dependent energy smearing corrections, a new simulation-based method to correct for differences between the photon and electron energy scales due to radiation damage in the ECAL crystals, and a calibration procedure using $ \mathrm{Z}\rightarrow\mu\mu\gamma $ events to correct residual energy scale differences between electrons and photons. In addition, a signal-to-background classifier based on gradient boosting was employed, with backgrounds containing at least one jet misidentified as a photon estimated using a data-driven technique. To further enhance the measurement sensitivity, multiple analysis categories were defined according to the classifier output, using a figure of merit that accounts for both the signal-to-background ratio and the relative diphoton mass resolution. The Higgs boson mass is measured to be $ m_{\textrm{H}} = $ 125.14 $ \pm $ 0.10 (stat) $ \pm $ 0.11 (syst) GeV. When combined with the corresponding measurement from CMS Run 1 data, the mass is determined to be $ m_{\textrm{H}} = $ 125.07 $ \pm $ 0.09 (stat) $ \pm $ 0.10 (syst) GeV. \newpage
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 Physics Letters B 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 Physics Letters B 716 (2012) 30 CMS-HIG-12-028
1207.7235
3 T. Markkanen, A. Rajantie, and S. Stopyra Cosmological Aspects of Higgs Vacuum Metastability Front. Astron. Space Sci. 5 (2018) 40 1809.06923
4 A. Sirlin Radiative Corrections in the SU(2)-L x U(1) Theory: A Simple Renormalization Framework PRD 22 (1980) 971
5 LHC Higgs Cross Section Working Group Collaboration Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector link 1610.07922
6 ATLAS Collaboration Combined measurement of the Higgs boson mass from the $ {H}\rightarrow\gamma\gamma $ and $ {H}\rightarrow{Z}{Z}^{*}\rightarrow4\ell $ decay channels with the ATLAS detector using $ \sqrt{s}= $ 7, 8, and 13 TeV $ pp $ collision data PRL 13 (2023) 1, 251802 2308.04775
7 CMS Collaboration Observation of the diphoton decay of the Higgs boson and measurement of its properties EPJC 74 (2014) 3076 CMS-HIG-13-001
1407.0558
8 CMS Collaboration A measurement of the Higgs boson mass in the diphoton decay channel Physics Letters B 805 (2020) 135425 CMS-HIG-19-004
2002.06398
9 CMS Collaboration Measurement of the Higgs boson mass and width using the four-lepton final state in proton-proton collisions at $ \sqrt{s} = $ 13TeV PRD 11 (2025) 1, 09 CMS-HIG-21-019
2409.13663
10 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
11 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064 CMS-PRF-21-001
2309.05466
12 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
13 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
14 CMS Collaboration Performance of the CMS high-level trigger during LHC Run 2 JINST 19 (2024) P11021 CMS-TRG-19-001
2410.17038
15 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
16 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
17 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
18 Z. Bern, L. Dixon, and C. Schmidt Isolating a light Higgs boson from the diphoton background at the CERN LHC PRD 6 (2002) 6, 074018
19 L. J. Dixon and Y. Li Bounding the higgs boson width through interferometry PRL 11 (2013) 1, 111802 1305.3854
20 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
21 GEANT4 Collaboration GEANT 4---a simulation toolkit NIM A 506 (2003) 250
22 F. Couderc, P. Gaigne, and M. \"O . Sahin Lepton energy scale and resolution corrections based on the minimization of an analytical likelihood: Ijazz2.0 \url https://arxiv.org/abs/2602.17300, 2026
link
23 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
24 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV technical report, CERN, Geneva, 2018
CDS
25 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV technical report, CERN, Geneva, 2019
CDS
26 CMS Collaboration Measurements of Higgs boson production cross sections and couplings in the diphoton decay channel at $ \sqrt{\mathrm{s}} = $ 13 TeV JHEP 07 (2021) 027 CMS-HIG-19-015
2103.06956
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 T. Sjöstrand, S. Mrenna, and P. Skands A Brief Introduction to PYTHIA 8.1 Comput. Phys. Commun. 178 (2007) 852 0710.3820
29 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
30 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
31 T. Gleisberg et al. Event generation with SHERPA 1.1 JHEP 02 (2009) 007 0811.4622
32 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
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 G. Battistoni et al. Overview of the FLUKA code Annals of Nuclear Energy 82 (2015)
35 F. Gentit Litrani: a general purpose Monte-Carlo program simulating light propagation in isotropic or anisotropic media Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, 2002
Detectors and Associated Equipment 485 (2002)
36 T. Chen and C. Guestrin XGBoost: A Scalable Tree Boosting System 3, 2016
link
1603.02754
37 CMS Collaboration Measurements of $ t\overline{t}H $ production and the CP structure of the Yukawa interaction between the Higgs boson and top quark in the diphoton decay channel (Aug, ) 061801, 2020
PRL 12 (2020) 5
CMS-HIG-19-013
2003.10866
38 W. Voigt \"Uber das gesetz der intensitätsverteilung innerhalb der linien eines gasspektrums Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-, 1912
Physikalische Klasse 60 (1912) 3
39 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
40 R. A. Fisher On the interpretation of $ \chi^2 $ from contingency tables, and the calculation of P Journal of the Royal Statistical Society 85 (1922) 87
41 A. Bodek et al. Extracting muon momentum scale corrections for hadron collider experiments EPJC 72 (2012) 2194 1208.3710
42 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
43 T. Junk Confidence level computation for combining searches with small statistics NIM A 434 (1999) 435 hep-ex/9902006
44 A. L. Read Presentation of search results: the CLs technique Journal of Physics G:, 2002
Nuclear and Particle Physics 28 (2002) 2693
Compact Muon Solenoid
LHC, CERN