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CMS-HIG-15-010 ; CERN-EP-2016-125
Measurement of the transverse momentum spectrum of the Higgs boson produced in pp collisions at $ \sqrt{s} = $ 8 TeV using $\mathrm{ H }\to\mathrm{ W }\mathrm{ W }$ decays
JHEP 03 (2017) 032
Abstract: The cross section for Higgs boson production in pp collisions is studied using the $\mathrm{ H } \to \mathrm{ W }^+ \mathrm{ W }^-$ decay mode, followed by leptonic decays of the W bosons to an oppositely charged electron-muon pair in the final state. The measurements are performed using data collected by the CMS experiment at the LHC at a centre-of-mass energy of 8 TeV, corresponding to an integrated luminosity of 19.4 fb$^{-1}$. The Higgs boson transverse momentum ($p_{\mathrm{T}}$) is reconstructed using the lepton pair $p_{\mathrm{T}}$ and missing $p_{\mathrm{T}}$. The differential cross section times branching fraction is measured as a function of the Higgs boson $p_{\mathrm{T}}$ in a fiducial phase space defined to match the experimental acceptance in terms of the lepton kinematics and event topology. The production cross section times branching fraction in the fiducial phase space is measured to be 39 $\pm$ 8 (stat) $\pm$ 9 (syst) fb. The measurements are found to agree, within experimental uncertainties, with theoretical calculations based on the standard model.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Distributions of the ${m_{\ell \ell }}$ variable in each of the six ${p_{\mathrm {T}}^{\mathrm {H}}}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 1-a:
Distribution of the ${m_{\ell \ell }}$ variable in the [0,15] GeV ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 1-b:
Distribution of the ${m_{\ell \ell }}$ variable in the [15,45] GeV ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 1-c:
Distribution of the ${m_{\ell \ell }}$ variable in the [45,85] GeV ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 1-d:
Distribution of the ${m_{\ell \ell }}$ variable in the [85,125] GeV ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 1-e:
Distribution of the ${m_{\ell \ell }}$ variable in the [125,165] GeV ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 1-f:
Distribution of the ${m_{\ell \ell }}$ variable in the $>$165 GeV ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_\mathrm {T}}$ window of [60,110] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed to it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2:
Distributions of the ${m_\mathrm {T}}$ variable in each of the six ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2-a:
Distribution of the ${m_\mathrm {T}}$ variable in the [0,15] GeV ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2-b:
Distribution of the ${m_\mathrm {T}}$ variable in the [15,45] GeV ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2-c:
Distribution of the ${m_\mathrm {T}}$ variable in the [45,85] GeV ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2-d:
Distribution of the ${m_\mathrm {T}}$ variable in the [85,125] GeV ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2-e:
Distribution of the ${m_\mathrm {T}}$ variable in the [125,165] GeV ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 2-f:
Distribution of the ${m_\mathrm {T}}$ variable in the $>$165 GeV ${p_{\mathrm {T}}^{\mathrm {H}}} {}$ bins. Background normalizations correspond to the values obtained from the fit. Signal normalization is fixed to the SM expectation. The distributions are shown in an ${m_{\ell \ell }} {}$ window of [12,75] GeV in order to emphasize the Higgs boson (H) signal. The signal contribution is shown both stacked on top of the background and superimposed on it. Ratios of the expected and observed event yields in individual bins are shown in the panels below the plots. The uncertainty band shown in the ratio plot corresponds to the envelope of systematic uncertainties after performing the fit to the data.

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Figure 3:
Differential Higgs boson production cross section as a function of the reconstructed ${p_{\mathrm {T}}^{\mathrm {H}}}$, before applying the unfolding procedure. Data values after the background subtraction are shown together with the statistical and the systematic uncertainties, determined propagating the sources of uncertainty through the fit procedure. The line and dashed area represent the SM theoretical estimates in which the acceptance of the dominant ggH contribution is modelled by Powheg V1. The sub-dominant component of the signal is denoted as XH=VBF+VH, and is shown with the cross filled area separately.

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Figure 3-a:
Differential Higgs boson production cross section as a function of the reconstructed ${p_{\mathrm {T}}^{\mathrm {H}}}$, before applying the unfolding procedure. Data values after the background subtraction are shown together with the statistical and the systematic uncertainties, determined propagating the sources of uncertainty through the fit procedure. The line and dashed area represent the SM theoretical estimates in which the acceptance of the dominant ggH contribution is modelled by Powheg V1. The sub-dominant component of the signal is denoted as XH=VBF+VH, and is shown with the cross filled area separately.

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Figure 3-b:
Differential Higgs boson production cross section as a function of the reconstructed ${p_{\mathrm {T}}^{\mathrm {H}}}$, before applying the unfolding procedure. Data values after the background subtraction are shown together with the statistical and the systematic uncertainties, determined propagating the sources of uncertainty through the fit procedure. The line and dashed area represent the SM theoretical estimates in which the acceptance of the dominant ggH contribution is modelled by Powheg V1. The sub-dominant component of the signal is denoted as XH=VBF+VH, and is shown with the cross filled area separately.

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Figure 4:
Response matrix (a) and deconvolution matrix (b) including all signal processes. The matrices are normalized either by row (a) or by column (b) in order to show the purity or stability respectively in diagonal bins.

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Figure 4-a:
Response matrix including all signal processes. The matrix is normalized by row in order to show the purity in diagonal bins.

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Figure 4-b:
Deconvolution matrix including all signal processes. The matrix is normalized by column in order to show the stability in diagonal bins.

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Figure 5:
Higgs boson production cross section as a function of ${p_{\mathrm {T}}^{\mathrm {H}}}$, after applying the unfolding procedure. Data points are shown, together with statistical and systematic uncertainties. The vertical bars on the data points correspond to the sum in quadrature of the statistical and systematic uncertainties. The model dependence uncertainty is also shown. The pink (and back-slashed filling) and green (and slashed filling) lines and areas represent the SM theoretical estimates in which the acceptance of the dominant ggH contribution is modelled by HRes and Powheg V2, respectively. The subdominant component of the signal is denoted as XH=VBF+VH and it is shown with the cross filled area separately. The bottom panel shows the ratio of data and Powheg V2 theoretical estimate to the HRes theoretical prediction.

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Figure 6:
Correlation matrix among the ${p_{\mathrm {T}}^{\mathrm {H}}}$ bins of the differential spectrum.
Tables

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Table 1:
Summary of requirements used in the definition of the fiducial phase space.

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Table 2:
Summary of the processes used to estimate backgrounds in cases where data events are used to estimate either the normalization or the shape of the discriminant variable. A brief description of the control/template samples is given.

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Table 3:
Main sources of systematic uncertainties and their estimate. The first category reports the uncertainties in the normalization of background contributions. The experimental and theoretical uncertainties refer to the effect on signal yields. A range is specified if the uncertainty varies across the $ {p_{\mathrm {T}}^{\mathrm {H}}}$ bins.

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Table 4:
Signal prediction, background estimates and observed number of events in data are shown in each ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin for the signal after applying the analysis selection requirements. The total uncertainty on the number of events is reported. For signal processes, the yield related to the ggH are shown, separated with respect to the contribution of the other production mechanisms (XH=VBF+VH). The WW process includes both quark and gluon induced contribution, while the Top process takes into account both $ {\mathrm{ t \bar{t} } } $ and tW.

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Table 5:
Differential cross section in each ${p_{\mathrm {T}}^{\mathrm {H}}}$ bin, together with the total uncertainty and the separate components of the various sources of uncertainty.
Summary
The cross section for Higgs boson production in pp collisions has been studied using the ${\mathrm{ H } \to \mathrm{ W }^+ \mathrm{ W }^-}$ decay mode, followed by leptonic decays of the W bosons to an oppositely charged electron-muon pair in the final state. Measurements have been performed using data from pp collisions at a centre-of-mass energy of 8 TeV collected by the CMS experiment at the LHC and corresponding to an integrated luminosity of 19.4 fb$^{-1}$. The differential cross section has been measured as a function of the Higgs boson transverse momentum in a fiducial phase space, defined to match the experimental kinematic acceptance. An unfolding procedure has been used to extrapolate the measured results to the fiducial phase space and to correct for the detector effects. The measurements have been compared to SM theoretical estimations provided by the HRes and Powheg V2 generators, showing good agreement within the experimental uncertainties. The inclusive production $\sigma B$ in the fiducial phase space has been measured to be 39 $\pm$ 8 (stat) $\pm$ 9 (syst) fb, consistent with the SM expectation.
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Compact Muon Solenoid
LHC, CERN