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CMS-PAS-HIG-17-010
Inclusive search for the standard model Higgs boson produced in pp collisions at $\sqrt{s}= $ 13 TeV using $ \mathrm{H}\rightarrow \mathrm{b\bar{\mathrm{b}}}$ decays
Abstract: A search for the standard model Higgs boson produced with high transverse momentum decaying to a bottom quark-antiquark pair has been performed using a data set of pp collisions at $\sqrt{s}= $ 13 TeV collected with the CMS experiment at the LHC. The data sample corresponds to an integrated luminosity of 35.9 fb$^{-1}$. A high-transverse-momentum Higgs boson decaying to $\mathrm{b\bar{\mathrm{b}}}$ is reconstructed as a single jet and identified based on jet substructure and dedicated b-tagging techniques. The analysis strategy is validated with $ \mathrm{Z}\rightarrow \mathrm{b\bar{\mathrm{b}}} $ decays. The $ \mathrm{Z}\rightarrow \mathrm{b\bar{\mathrm{b}}}$ process is observed with a local significance of 5.1 standard deviations for the first time in the single jet topology. For a Higgs boson mass of 125 GeV, an excess of events is observed above the expected background with a local significance of 1.5 standard deviations. The measured cross section of $ \mathrm{H}(\mathrm{b\bar{\mathrm{b}}})$ production for ${p_\mathrm{T}}> $ 450 GeV is 74$_{-49}^{+51}$ fb.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Data to simulation comparison of the $\rho $ (top-left), $ {m_{\mathrm {SD}}} $ (top-right), $ {\mathrm {N}_{\mathrm {2}}^{\mathrm {1,DDT}}} $ (bottom-left) and double-b tagger (bottom-right) variables, after the requirement on the jet $ {p_{\mathrm {T}}} $ and the online selection.

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Figure 1-a:
Data to simulation comparison of the $\rho $ variable, after the requirement on the jet $ {p_{\mathrm {T}}} $ and the online selection.

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Figure 1-b:
Data to simulation comparison of the $ {m_{\mathrm {SD}}} $ variable, after the requirement on the jet $ {p_{\mathrm {T}}} $ and the online selection.

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Figure 1-c:
Data to simulation comparison of the $ {\mathrm {N}_{\mathrm {2}}^{\mathrm {1,DDT}}} $ variable, after the requirement on the jet $ {p_{\mathrm {T}}} $ and the online selection.

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Figure 1-d:
Data to simulation comparison of the double-b tagger variable, after the requirement on the jet $ {p_{\mathrm {T}}} $ and the online selection.

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Figure 2:
The ${m_{\mathrm {SD}}}$ distribution for simulated signal events after all the selection criteria in both the passing and failing regions. The yield for each process is normalized to its cross section.

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Figure 2-a:
The ${m_{\mathrm {SD}}}$ distribution for simulated signal events after all the selection criteria in the passing region. The yield for each process is normalized to its cross section.

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Figure 2-b:
The ${m_{\mathrm {SD}}}$ distribution for simulated signal events after all the selection criteria in the failing region. The yield for each process is normalized to its cross section.

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Figure 3:
double-b tagger vs. jet ${p_{\mathrm {T}}}$ and $ {m_{\mathrm {SD}}} $

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Figure 4:
Post-fit $ {m_{\mathrm {SD}}} $ distributions in data for the pass and fail regions and combined $ {p_{\mathrm {T}}} $ categories by using a polynomial 2nd order in $\rho $ and 1st order in $ {p_{\mathrm {T}}} $. The features at 166 GeV and 180 GeV in the $ {m_{\mathrm {SD}}} $ distribution are due to the kinematic selection on $\rho $, which affects each $ {p_{\mathrm {T}}} $ category differently.

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Figure 4-a:
Post-fit $ {m_{\mathrm {SD}}} $ distribution in data for the pass fail region and combined $ {p_{\mathrm {T}}} $ categories by using a polynomial 2nd order in $\rho $ and 1st order in $ {p_{\mathrm {T}}} $. The features at 166 GeV and 180 GeV in the $ {m_{\mathrm {SD}}} $ distribution are due to the kinematic selection on $\rho $, which affects each $ {p_{\mathrm {T}}} $ category differently.

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Figure 4-b:
Post-fit $ {m_{\mathrm {SD}}} $ distributions in data for the pass and fail regions and combined $ {p_{\mathrm {T}}} $ categories by using a polynomial 2nd order in $\rho $ and 1st order in $ {p_{\mathrm {T}}} $. The features at 166 GeV and 180 GeV in the $ {m_{\mathrm {SD}}} $ distribution are due to the kinematic selection on $\rho $, which affects each $ {p_{\mathrm {T}}} $ category differently.

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Figure 5:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan in data as a function of the H signal strength $\mu _\mathrm{ H } $ (upper left), Z signal strength $\mu _\mathrm{ Z } $ (upper right), and both signal strengths ($\mu _\mathrm{ H } ,\mu _\mathrm{ Z } $) (lower).

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Figure 5-a:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan in data as a function of the H signal strength $\mu _\mathrm{ H } $.

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Figure 5-b:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan in data as a function of the Z signal strength $\mu _\mathrm{ Z } $.

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Figure 5-c:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan in data as a function of both signal strengths ($\mu _\mathrm{ H } ,\mu _\mathrm{ Z } $).
Tables

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Table 1:
Systematic uncertainties and their relative size.

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Table 2:
Fitted signal strength and observed significance of the Higgs and Z signals.
Summary
An inclusive search for the standard model Higgs boson decaying to bottom quark-antiquark pairs with $p_{\mathrm{T}} > $ 450 GeV and reconstructed as a single jet has been presented using a data sample of proton-proton collisions collected by CMS corresponding to 35.9 fb$^{-1}$ at $ \sqrt{s} = $ 13 TeV. The Higgs jets are reconstructed with the anti-$k_{\mathrm{T}}$ algorithm with radius $R= $ 0.8 and identified with the CMS double-b tag algorithm. The signal is then extracted on top of the falling QCD soft drop mass distribution (including contributions from W, Z, and top background processes) using an entirely data-driven QCD background prediction.

The analysis strategy is validated by extracting the signal strength of the Z+jets process. The Z+jets process is observed for the first time in the single-jet topology with a significance of 5.1$\sigma$.

The Higgs production is measured with a signal strength parameter of $\mu_\mathrm{ H }= $ 2.3$_{-{1.6} }^{+{1.8} }$ and an observed significance of 1.5$\sigma$ (0.7$\sigma$ expected for the standard model Higgs) when including Higgs $p_{\mathrm{T}}$ spectrum corrections accounting for NLO and finite top mass effects. The measured cross section of the $\mathrm{ H }(\mathrm{ b \bar{b} })$ production for $p_{\mathrm{T}} > $ 450 GeV is 74$_{-{49} }^{+{51} } $ fb, which is consistent with the SM expectation within the uncertainty.
Additional Figures

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Additional Figure 1:
Generator level Higgs $ {p_{\mathrm {T}}} $ distribution for the gluon fusion production mode. The CMS default POWHEG sample and the corrected spectrum to account for both higher order and finite top mass effects are compared.

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Additional Figure 2:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ categories of the fit from 450-550 GeV (450-500, 500-550 from top to bottom). Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 2-a:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 450-550 GeV, double b-tag $>$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 2-b:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 450-550 GeV, double b-tag $<$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 2-c:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 500-550 GeV, double b-tag $>$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 2-d:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 500-550 GeV, double b-tag $<$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 3:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ categories of the fit from 550-675 GeV (550-600, 600-675 from top to bottom). Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 3-a:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 550-600 GeV, double b-tag $<$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 3-b:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 600-675 GeV, double b-tag $>$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 3-c:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 550-600 GeV, double b-tag $<$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 3-d:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the $ {p_{\mathrm {T}}} $ category of the fit from 600-675 GeV, double b-tag $>$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 4:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ categories of the fit from 675-1000 GeV (675-800,800-1000 from top to bottom). Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 4-a:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ category of the fit from 675-800 GeV, double b-tag $<$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 4-b:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ category of the fit from 675-800 GeV, double b-tag $>$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 4-c:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ category of the fit from 800-1000 GeV, double b-tag $<$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 4-d:
Soft drop jet mass ($ {m_{\mathrm {SD}}} $) distribution for the different $ {p_{\mathrm {T}}} $ category of the fit from 800-1000 GeV, double b-tag $>$ 0.9. Data are shown as the black points. The QCD background prediction, including uncertainties, is shown in the gray boxes. Contributions from the W, Z, and H boson signal are indicated as well. In the bottom panel, the ratio of the data, after the subtraction of multijet and $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ backgrounds, to its uncertainty is shown. The scale on the x-axis differs for each $ {p_{\mathrm {T}}} $ category due to the kinematic selection on $\rho $.

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Additional Figure 5:
The two-dimensional polynomial transfer factor $\mathcal {F}$ is shown as function of $ {m_{\mathrm {SD}}} $ and $ {p_{\mathrm {T}}} $ (left) and $\rho $ and $ {p_{\mathrm {T}}} $ (right).

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Additional Figure 5-a:
The two-dimensional polynomial transfer factor $\mathcal {F}$ is shown as function of $ {m_{\mathrm {SD}}} $ and $ {p_{\mathrm {T}}} $.

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Additional Figure 5-b:
The two-dimensional polynomial transfer factor $\mathcal {F}$ is shown as function of $\rho $ and $ {p_{\mathrm {T}}} $.

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Additional Figure 6:
Fitted signal strengths for the Higgs and Z boson signals for each $ {p_{\mathrm {T}}} $ category by floating the Z and H signal strength parameter respectively.

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Additional Figure 6-a:
Fitted signal strengths for the Higgs signal for each $ {p_{\mathrm {T}}} $ category by floating the Z and H signal strength parameter respectively.

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Additional Figure 6-b:
Fitted signal strengths for the Z boson signal for each $ {p_{\mathrm {T}}} $ category by floating the Z and H signal strength parameter respectively.

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Additional Figure 7:
$ {N_{\mathrm {2}}^{\mathrm {1,DDT}}} $ transformation map as a function of the jet $\rho $ and $ {p_{\mathrm {T}}} $. The map corresponds to the 26% quantile of the N$_{\rm 2}^{\rm 1}$ distribution in simulated QCD multijet events. The N$_{\rm 2}^{\rm 1}$ distribution is mostly insensitive to the jet $\rho $ and $ {p_{\mathrm {T}}} $ in the kinematic phase space considered for this analysis ($-6 < \rho < 2.1$) and further decorrelated yielding the $ {N_{\mathrm {2}}^{\mathrm {1,DDT}}} $ variable.

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Additional Figure 8:
Soft-drop jet mass distribution that pass (left) and fail (right) the $ {N_{\mathrm {2}}^{\mathrm {1,DDT}}} $ selection in the semileptonic $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ sample. Results of fits to data and simulation are shown.

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Additional Figure 8-a:
Soft-drop jet mass distribution that pass the $ {N_{\mathrm {2}}^{\mathrm {1,DDT}}} $ selection in the semileptonic $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ sample. Results of fits to data and simulation are shown.

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Additional Figure 8-b:
Soft-drop jet mass distribution that fail the $ {N_{\mathrm {2}}^{\mathrm {1,DDT}}} $ selection in the semileptonic $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $ sample. Results of fits to data and simulation are shown.

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Additional Figure 9:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan on the post-fit Asimov dataset as a function of the H signal strength $\mu _\mathrm{ H } $ (upper left), Z signal strength $\mu _\mathrm{ Z } $ (upper right), and both signal strengths $(\mu _\mathrm{ H },\mu _\mathrm{ Z })$ (lower).

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Additional Figure 9-a:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan on the post-fit Asimov dataset as a function of the H signal strength $\mu _\mathrm{ H } $.

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Additional Figure 9-b:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan on the post-fit Asimov dataset as a function of the Z signal strength $\mu _\mathrm{ Z } $.

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Additional Figure 9-c:
Profile likelihood test statistic $-2\Delta \log\mathcal {L}$ scan on the post-fit Asimov dataset as a function of the both H and Z signal strengths $(\mu _\mathrm{ H },\mu _\mathrm{ Z })$.
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Compact Muon Solenoid
LHC, CERN