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CMS-B2G-17-019 ; CERN-EP-2018-195
Search for production of Higgs boson pairs in the four b quark final state using large-area jets in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 01 (2019) 040
Abstract: A search is presented for pair production of the standard model Higgs boson using data from proton-proton collisions at a centre-of-mass energy of 13 TeV, collected by the CMS experiment at the CERN LHC in 2016, and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The final state consists of two b quark-antiquark pairs. The search is conducted in the region of phase space where one pair is highly Lorentz-boosted and is reconstructed as a single large-area jet, and the other pair is resolved and is reconstructed using two b-tagged jets. The results are obtained by combining this analysis with another from CMS looking for events with two large jets. Limits are set on the product of the cross sections and branching fractions for narrow bulk gravitons and radions in warped extra-dimensional models having a mass in the range 750-3000 GeV. The resulting observed and expected upper limits on the non-resonant Higgs boson pair production cross section correspond to 179 and 114 times the standard model value, respectively, at 95% confidence level. The existence of anomalous Higgs boson couplings is also investigated and limits are set on the non-resonant Higgs boson pair production cross sections for representative coupling values.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Distributions of the soft-drop mass (upper left), ${\tau _{21}}$ (upper right), and the double-b tagger (lower), for AK8 jets in semi-resolved events. The multijet and the ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 1-a:
Distributions of the soft-drop mass, for AK8 jets in semi-resolved events. The multijet and the ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 1-b:
Distributions of ${\tau _{21}}$, for AK8 jets in semi-resolved events. The multijet and the ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 1-c:
Distributions of the double-b tagger, for AK8 jets in semi-resolved events. The multijet and the ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 2:
Distributions for AK4 jets of the DeepCSV discriminators for the leading $\text {j}_{1}$ (upper left) and next leading $\text {j}_{2}$ (upper right), the invariant mass of $\text {j}_{1}$ and $\text {j}_{2}$, $ {m_{\text {jj}}} (\text {j}_{1}, \text {j}_{2})$ (lower left), and the invariant mass of $\text {j}_{1}$, $\text {j}_{2}$, and their nearest AK4 jet $\text {j}_{3}$, $ {m_{\text {Jjj}}} (\text {j}_{1}, \text {j}_{2}, \text {j}_{3})$ (lower right), in semi-resolved events. The multijet and ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 2-a:
Distributions for AK4 jets of the DeepCSV discriminator for the leading $\text {j}_{1}$ in semi-resolved events. The multijet and ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 2-b:
Distributions for AK4 jets of the DeepCSV discriminator for the next leading $\text {j}_{2}$ in semi-resolved events. The multijet and ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 2-c:
Distributions for AK4 jets of the DeepCSV discriminator for the invariant mass of $\text {j}_{1}$ and $\text {j}_{2}$, $ {m_{\text {jj}}} (\text {j}_{1}, \text {j}_{2})$ in semi-resolved events. The multijet and ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 2-d:
Distributions for AK4 jets of the DeepCSV discriminator for the invariant mass of $\text {j}_{1}$, $\text {j}_{2}$, and their nearest AK4 jet $\text {j}_{3}$, $ {m_{\text {Jjj}}} (\text {j}_{1}, \text {j}_{2}, \text {j}_{3})$ in semi-resolved events. The multijet and ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets background components are shown separately, along with the simulated signals for bulk gravitons of masses 1000 and 1200 GeV and the non-resonant benchmark models 2 and 5. The distributions are normalized to unity.

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Figure 3:
The signal selection efficiencies for the radion and the bulk graviton, for different masses. The events are required to pass the selections given in Table 2 as well as to fail the selections of the fully-merged analysis of Ref. [36].

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Figure 4:
Upper: The double-b tagger pass-fail ratio $R_\text {p/f}$ of the leading-$ {p_{\mathrm {T}}} $ AK8 jet in semi-resolved events as a function of the difference between the soft-drop mass and the Higgs boson mass, $m_{\text {J}} - {m_{{\mathrm {H}}}} $. The measured ratio in different bins of $m_{\text {J}} - {m_{{\mathrm {H}}}} $ is used in the fit (red solid line), except in the region around $m_{\text {J}}- {m_{{\mathrm {H}}}} =$ 0, which corresponds to the signal region (blue markers). The fitted function is interpolated to obtain $R_\text {p/f}$ in the signal region. Lower: The reduced mass distribution $ {m_{\text {Jjj,red}}} $ in the data (black markers) with the estimated background represented as the black histogram. The ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets contribution from simulation is represented in green. The rest of the background is multijets, calculated by applying the $R_\text {p/f}$ to the antitag region. The uncertainty in the total background, before fitting the background model to the data, is depicted using the shaded region. The signal distributions for a bulk graviton with a mass of 800 GeV (blue) and the non-resonant benchmark 2 model (red) are also shown for assumed values of the products of the production cross sections for $ {\mathrm {H}} {\mathrm {H}} $ and the branching fraction to 4b, $\sigma \mathcal {B}$. For the upper and lower figures, the pseudorapidity intervals are 0 $ \le {<}\Delta \eta{>} < $ 1 and 1 $ \le {<}\Delta \eta{>} \le $ 2, respectively.

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Figure 4-a:
The double-b tagger pass-fail ratio $R_\text {p/f}$ of the leading-$ {p_{\mathrm {T}}} $ AK8 jet in semi-resolved events as a function of the difference between the soft-drop mass and the Higgs boson mass, $m_{\text {J}} - {m_{{\mathrm {H}}}} $, for pseudorapidity interval 0 $ \le {<}\Delta \eta{>} < $ 1. The measured ratio in different bins of $m_{\text {J}} - {m_{{\mathrm {H}}}} $ is used in the fit (red solid line), except in the region around $m_{\text {J}}- {m_{{\mathrm {H}}}} =$ 0, which corresponds to the signal region (blue markers). The fitted function is interpolated to obtain $R_\text {p/f}$ in the signal region.

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Figure 4-b:
The double-b tagger pass-fail ratio $R_\text {p/f}$ of the leading-$ {p_{\mathrm {T}}} $ AK8 jet in semi-resolved events as a function of the difference between the soft-drop mass and the Higgs boson mass, $m_{\text {J}} - {m_{{\mathrm {H}}}} $, for pseudorapidity interval 1 $ \le {<}\Delta \eta{>} \le $ 2. The measured ratio in different bins of $m_{\text {J}} - {m_{{\mathrm {H}}}} $ is used in the fit (red solid line), except in the region around $m_{\text {J}}- {m_{{\mathrm {H}}}} =$ 0, which corresponds to the signal region (blue markers). The fitted function is interpolated to obtain $R_\text {p/f}$ in the signal region.

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Figure 4-c:
The reduced mass distribution $ {m_{\text {Jjj,red}}} $ in the data (black markers) with the estimated background represented as the black histogram, for pseudorapidity interval 0 $ \le {<}\Delta \eta{>} < $ 1. The ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets contribution from simulation is represented in green. The rest of the background is multijets, calculated by applying the $R_\text {p/f}$ to the antitag region. The uncertainty in the total background, before fitting the background model to the data, is depicted using the shaded region. The signal distributions for a bulk graviton with a mass of 800 GeV (blue) and the non-resonant benchmark 2 model (red) are also shown for assumed values of the products of the production cross sections for $ {\mathrm {H}} {\mathrm {H}} $ and the branching fraction to 4b, $\sigma \mathcal {B}$.

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Figure 4-d:
The reduced mass distribution $ {m_{\text {Jjj,red}}} $ in the data (black markers) with the estimated background represented as the black histogram, for pseudorapidity interval 1 $ \le {<}\Delta \eta{>} \le $ 2. The ${{\mathrm {t}\overline {\mathrm {t}}}} $+jets contribution from simulation is represented in green. The rest of the background is multijets, calculated by applying the $R_\text {p/f}$ to the antitag region. The uncertainty in the total background, before fitting the background model to the data, is depicted using the shaded region. The signal distributions for a bulk graviton with a mass of 800 GeV (blue) and the non-resonant benchmark 2 model (red) are also shown for assumed values of the products of the production cross sections for $ {\mathrm {H}} {\mathrm {H}} $ and the branching fraction to 4b, $\sigma \mathcal {B}$.

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Figure 5:
The upper limits for a bulk graviton (left) and radion (right), combining the fully-merged and the semi-resolved analysis (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis). The inner (green) and the outer (yellow) bands indicate the regions containing the 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The theoretical predictions are shown as the red lines. Results above 2000 (1600) GeV for the bulk graviton (radion) are taken directly from the fully-merged analysis [36].

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Figure 5-a:
The upper limits for a bulk graviton, combining the fully-merged and the semi-resolved analysis (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis). The inner (green) and the outer (yellow) bands indicate the regions containing the 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The theoretical prediction is shown as the red line. Results above 2000 GeV are taken directly from the fully-merged analysis [36].

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Figure 5-b:
The upper limits for a radion, combining the fully-merged and the semi-resolved analysis (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis). The inner (green) and the outer (yellow) bands indicate the regions containing the 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The theoretical prediction is shown as the red line. Results above 1600 GeV are taken directly from the fully-merged analysis [36].

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Figure 6:
The observed and expected upper limits for non-resonant $ {\mathrm {H}} {\mathrm {H}} $ production in the standard model, the model with $\kappa _{\lambda}=$ 0, and other shape benchmarks (1-12), combining the fully-merged selection and the semi-resolved selection (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis). The inner (green) and the outer (yellow) bands indicate the regions containing the 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.
Tables

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Table 1:
Parameter values of the couplings corresponding to the twelve shape benchmarks, the SM prediction, and the case with vanishing Higgs boson self-interaction, $\kappa _\lambda =$ 0.

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Table 2:
Summary of the offline selection criteria for semi-resolved $ {\mathrm {H}} {\mathrm {H}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}} {{\mathrm {b}} {\overline {\mathrm {b}}}} $ events.

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Table 3:
Summary of the ranges of systematic uncertainties in the signal and background yields, for both the semi-resolved analysis and for the fully-merged analysis, taken from Ref. [36].

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Table 4:
The observed and expected upper limits on the products of the cross sections and branching fraction $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {X}}) B({\mathrm {X}} \to {\mathrm {H}} {\mathrm {H}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}} {{\mathrm {b}} {\overline {\mathrm {b}}}})$ for a bulk graviton from the combination of the fully-merged and semi-resolved channels (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis). Results above 2000 GeV are taken directly from the fully-merged analysis [36].

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Table 5:
The observed and expected upper limits on the products of the cross sections and branching fraction $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {X}}) B({\mathrm {X}} \to {\mathrm {H}} {\mathrm {H}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}} {{\mathrm {b}} {\overline {\mathrm {b}}}})$ for a radion from the combination of the fully-merged and semi-resolved channels (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis). Results above 1600 GeV for the radion are taken directly from the fully-merged analysis [36].

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Table 6:
The observed and expected upper limits on the cross section $\sigma ({\mathrm {p}} {\mathrm {p}}\to {\mathrm {H}} {\mathrm {H}} \to {{\mathrm {b}} {\overline {\mathrm {b}}}} {{\mathrm {b}} {\overline {\mathrm {b}}}})$ for the non-resonant shape benchmark models (1-12), the SM, and the $\kappa _{\lambda}=$ 0 HH productions, combining fully-merged and semi-resolved channels (where the events used in the fully-merged analysis are not considered in the semi-resolved analysis).
Summary
A search is presented for the pair production of standard model Higgs bosons (HH), both decaying to a bottom quark-antiquark pair ($\mathrm{b\bar{b}}$), using data from proton-proton collisions at a centre-of-mass energy of 13 TeV and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The search is conducted in the region of phase space where at least one of the Higgs bosons has a large Lorentz boost, so that the $\mathrm{H}\to\mathrm{b\bar{b}}$ decay products are collimated to form a single jet, an H jet. The search combines events with one H jet plus two b jets with events having two H jets, thus adding sensitivity to the previous analysis [36].

The results of the search are compared with predictions for the resonant production of a narrow Kaluza-Klein bulk graviton and a narrow radion in warped extradimensional models. The search is also sensitive to several beyond standard model non-resonant HH production scenarios. Such cases may arise either when an off-shell massive resonance produced in proton-proton collisions decays to HH, or through beyond standard model effects in the Higgs boson coupling parameters. The results are interpreted in terms of upper limits on the product of the cross section for the respective signal processes and the branching fraction to $\mathrm{H}\mathrm{H} \to \mathrm{b\bar{b}}\mathrm{b\bar{b}}$, at 95% confidence level.

The upper limits range from 43.9 to 1.4 fb for the bulk graviton and from 67 to 1.6 fb for the radion for the mass range 750-3000 GeV. Depending on the mass of the resonance, these limits improve upon the results of Ref. [36] by up to 18% for the bulk graviton and up to 55% for the radion.

The non-resonant production of Higgs boson pairs is modelled using an effective Lagrangian with five coupling parameters. The upper limit corresponding to the standard model values of the coupling parameters is placed at 1980 fb, which is 179 times the prediction. In addition, upper limits in the range of 4520 to 36.7 fb are set on twelve shape benchmarks, i.e. representative sets of the five coupling parameters [63]. These are the first limits on non-resonant Higgs boson pair-production signals using boosted topologies, and are the most stringent limits to date for the shape benchmarks 2, 5, 8, 9, and 11.
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Compact Muon Solenoid
LHC, CERN