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CMS-HIG-24-011 ; CERN-EP-2025-279
Measurement of the Higgs boson total decay width using the $ \mathrm{H} \to \mathrm{W}\mathrm{W} \to \mathrm{e}\nu\mu\nu $ decay channel in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Submitted to Physical Review D
Abstract: The Higgs boson (H) decay width is determined from the ratio of off- and on-shell production of $ \mathrm{H} \to \mathrm{W}\mathrm{W} \to \mathrm{e}\nu\mu\nu $ using proton-proton collision data corresponding to an integrated luminosity of 138 fb$ ^{-1} $ collected at $ \sqrt{s}= $ 13 TeV by the CMS experiment at the LHC. The off-shell signal strength is measured as $ \mu_{\text{off-shell} } = $ 1.2 $ ^{+0.8}_{-0.7} $. The Higgs boson total decay width is $ \Gamma_{\mathrm{H}} = $ 3.9 $ ^{+2.7}_{-2.2} $ MeV, in agreement with the standard model prediction. The uncertainty in this result represents a factor of three improvement over the previous CMS result in this decay channel.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagrams illustrating Higgs boson production and decays to WW in ggF (left) and VBF (right) modes.

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Figure 1-a:
Feynman diagrams illustrating Higgs boson production and decays to WW in ggF (left) and VBF (right) modes.

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Figure 1-b:
Feynman diagrams illustrating Higgs boson production and decays to WW in ggF (left) and VBF (right) modes.

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Figure 2:
Feynman diagrams for nonresonant WW production: $ \mathrm{g}\mathrm{g} \to \mathrm{W}\mathrm{W} $ (left) and $ \mathrm{q}\mathrm{q} \to \mathrm{q}\mathrm{q}\mathrm{W}\mathrm{W} $ (right).

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Figure 2-a:
Feynman diagrams for nonresonant WW production: $ \mathrm{g}\mathrm{g} \to \mathrm{W}\mathrm{W} $ (left) and $ \mathrm{q}\mathrm{q} \to \mathrm{q}\mathrm{q}\mathrm{W}\mathrm{W} $ (right).

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Figure 2-b:
Feynman diagrams for nonresonant WW production: $ \mathrm{g}\mathrm{g} \to \mathrm{W}\mathrm{W} $ (left) and $ \mathrm{q}\mathrm{q} \to \mathrm{q}\mathrm{q}\mathrm{W}\mathrm{W} $ (right).

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Figure 3:
The off-shell SR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

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Figure 3-a:
The off-shell SR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 3-b:
The off-shell SR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 3-c:
The off-shell SR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 3-d:
The off-shell SR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

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Figure 4:
The on-shell CR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 4-a:
The on-shell CR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 4-b:
The on-shell CR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 4-c:
The on-shell CR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

png pdf
Figure 4-d:
The on-shell CR post-fit DNN output distributions for the 0-jet (upper left), 1-jet (upper right), and $ \geq $2-jet (lower plots) event categories. The data are shown as the black dots, with the vertical bars representing the statistical uncertainties. The predicted signal and background distributions are shown by the various colored histograms. The predicted signal ggF and VBH off-shell $ S+B+I $ distributions are displayed both as part of the total stacked histograms, along with all the predicted background distributions, and on top of the stacked background distributions for visibility. The lower portion of the plots gives the ratio of the data to the total predicted yields, including the post-fit signal. The hatched area represents the total uncertainty in the ratio.

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Figure 5:
The observed (black curve) and expected (red curve) likelihood function scans for the off-shell signal strength $ \mu_{\text{off-shell} } $ (left) and the Higgs boson decay width $ \Gamma_{\mathrm{H}} $ (right). The resulting best-fit observed and expected values are also given, along with their uncertainties. The 68 and 95% confidence level intervals are shown by the intersection of the likelihood function curves with the dotted and solid horizontal lines, respectively.

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Figure 5-a:
The observed (black curve) and expected (red curve) likelihood function scans for the off-shell signal strength $ \mu_{\text{off-shell} } $ (left) and the Higgs boson decay width $ \Gamma_{\mathrm{H}} $ (right). The resulting best-fit observed and expected values are also given, along with their uncertainties. The 68 and 95% confidence level intervals are shown by the intersection of the likelihood function curves with the dotted and solid horizontal lines, respectively.

png pdf
Figure 5-b:
The observed (black curve) and expected (red curve) likelihood function scans for the off-shell signal strength $ \mu_{\text{off-shell} } $ (left) and the Higgs boson decay width $ \Gamma_{\mathrm{H}} $ (right). The resulting best-fit observed and expected values are also given, along with their uncertainties. The 68 and 95% confidence level intervals are shown by the intersection of the likelihood function curves with the dotted and solid horizontal lines, respectively.
Tables

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Table 1:
Measurements of the ggF and VBF off-shell signal strengths $ \mu^{ggF}_{\text{off-shell} } $ and $ \mu^{VBF}_{\text{off-shell} } $, the overall off-shell signal strength $ \mu_{\text{off-shell} } $, the on-shell signal strength $ \mu_{\text{on-shell} } $, and the Higgs boson decay width $ \Gamma_{\mathrm{H}} $. The observed best-fit values are given (Fit), as well as the observed and expected 68 and 95% confidence levels (CLs).

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Table 2:
The sources of systematic uncertainty and their contributions to the total uncertainty in the parameter of interest $ \text{r} = \mu_{\text{off-shell} }/\mu_{\text{on-shell} } $. The statistical uncertainty is also shown. The values given are the ratios in percent of each uncertainty, divided by the total uncertainty. The last column shows the similar ratios for the uncertainty in $ \mu_{\text{off-shell} } $.
Summary
Measurements of the off- and on-shell signal strengths for the Higgs boson have been performed with the gluon-gluon fusion (ggF) and vector boson fusion (VBF) production modes in the $ \mathrm{H} \to \mathrm{W}\mathrm{W} \to \mathrm{e}\nu\mu\nu $ decay channel, using proton-proton collision data at $ \sqrt{s}= $ 13 TeV from the CMS experiment in 2016--2018, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. Specific event selection and background discrimination techniques were applied in order to extract the results from maximum likelihood fits to data. The combined off-shell Higgs boson signal strength from ggF and VBF processes is found to be $ \mu_{\text{off-shell} } = $ 1.2 $ ^{+0.8}_{-0.7} $, which is used to derive the Higgs boson total decay width of $ \Gamma_{\mathrm{H}} = $ 3.9 $ ^{+2.7}_{-2.2} $ MeV, in agreement with the standard model prediction of 4.1 MeV. This measurement represents the first CMS determination of the Higgs boson decay width using the $ \mathrm{H} \to \mathrm{W}\mathrm{W} $ channel at $ \sqrt{s}= $ 13 TeV. This result improves on the analogous CMS analyses at $ \sqrt{s} = $ 7 and 8 TeV limit by a factor of three, while complementing the CMS Higgs boson decay width measurement using the $ \mathrm{H} \to \mathrm{Z}\mathrm{Z} $ channel at $ \sqrt{s}= $ 13 TeV.
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