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CMS-PAS-B2G-20-014
A search for bottom-type, vector-like quark pair production in dileptonic and fully hadronic final states in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Abstract: A search is described for the production of a pair of bottom-type vector-like quarks (VLQs) with a mass greater than 1000 GeV. Each VLQ decays into a b quark and a Higgs boson, a b quark and a Z boson, or a t quark and a W boson. This analysis considers both fully hadronic final states and those containing a lepton pair from a Z boson decay. The products of the hadronic Higgs, Z, or W boson decays can be resolved as two distinct jets or merged into a single jet, so the final states are separated by the number of reconstructed jets. The analysis uses data corresponding to a total integrated luminosity of 138 fb$^{-1}$ collected in proton-proton collisions at $ \sqrt{s}= $ 13 TeV by the CMS detector at the LHC from 2016 to 2018. No signal in excess of the expected background is observed, and lower limits are set on the VLQ mass at 95% confidence level. These depend on the VLQ branching fractions and are 1570 GeV and 1540 GeV for 100% B $ \rightarrow $ bH and 100% B $ \rightarrow $ bZ, respectively. For many cases, they exceed by 100 GeV or more those of previous results.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 1-a:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 1-b:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 1-c:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 1-d:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 1-e:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 1-f:
Illustrative Feynman diagrams for the pair production of bottom-type VLQs that decay into a b or t quark or antiquark and either a Higgs, Z, or W boson with fully hadronic final states. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $; middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $; lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ and $ \mathrm{t}\mathrm{W}\mathrm{t}\mathrm{W} $. Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 2:
Illustrative Feynman diagrams of the pair production of bottom-type VLQ quarks that decay into a b quark or antiquark and either a Higgs or Z boson with a dilepton final state: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ mode (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ mode (right). Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 2-a:
Illustrative Feynman diagrams of the pair production of bottom-type VLQ quarks that decay into a b quark or antiquark and either a Higgs or Z boson with a dilepton final state: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ mode (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ mode (right). Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 2-b:
Illustrative Feynman diagrams of the pair production of bottom-type VLQ quarks that decay into a b quark or antiquark and either a Higgs or Z boson with a dilepton final state: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ mode (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ mode (right). Note that the B and $ \overline{\mathrm{B}} $ can be exchanged in the decays.

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Figure 3:
Reconstructed VLQ mass distributions for simulated events for the fully hadronic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (right) channels. Middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) channels. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ channel. The different colors indicate the different jet multiplicities. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 3-a:
Reconstructed VLQ mass distributions for simulated events for the fully hadronic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (right) channels. Middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) channels. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ channel. The different colors indicate the different jet multiplicities. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 3-b:
Reconstructed VLQ mass distributions for simulated events for the fully hadronic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (right) channels. Middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) channels. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ channel. The different colors indicate the different jet multiplicities. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 3-c:
Reconstructed VLQ mass distributions for simulated events for the fully hadronic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (right) channels. Middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) channels. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ channel. The different colors indicate the different jet multiplicities. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 3-d:
Reconstructed VLQ mass distributions for simulated events for the fully hadronic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (right) channels. Middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) channels. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ channel. The different colors indicate the different jet multiplicities. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 3-e:
Reconstructed VLQ mass distributions for simulated events for the fully hadronic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (right) channels. Middle row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) channels. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ channel. The different colors indicate the different jet multiplicities. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 4:
Reconstructed VLQ mass distributions for simulated events passing the b tag requirement for the dileptonic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 4-a:
Reconstructed VLQ mass distributions for simulated events passing the b tag requirement for the dileptonic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 4-b:
Reconstructed VLQ mass distributions for simulated events passing the b tag requirement for the dileptonic channels with $ m_{{\mathrm{B}}} = $ 1400 GeV in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. A selection of $ \chi^2_\text{mod}/\text{ndf} < $ 5 has been applied. The values represent expected events over the background at 138 fb$ ^{-1} $.

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Figure 5:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the fully hadronic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) event modes. Lower row: $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (left), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) event modes. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data. All jet multiplicities have been combined together.

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Figure 5-a:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the fully hadronic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) event modes. Lower row: $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (left), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) event modes. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data. All jet multiplicities have been combined together.

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Figure 5-b:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the fully hadronic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) event modes. Lower row: $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (left), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) event modes. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data. All jet multiplicities have been combined together.

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Figure 5-c:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the fully hadronic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) event modes. Lower row: $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (left), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) event modes. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data. All jet multiplicities have been combined together.

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Figure 5-d:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the fully hadronic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) event modes. Lower row: $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (left), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) event modes. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data. All jet multiplicities have been combined together.

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Figure 5-e:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the fully hadronic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) event modes. Lower row: $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (left), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) event modes. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data. All jet multiplicities have been combined together.

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Figure 6:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the leptonic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data.

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Figure 6-a:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the leptonic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data.

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Figure 6-b:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the leptonic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data.

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Figure 6-c:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the leptonic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data.

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Figure 6-d:
Normalized $ \chi^2_\text{mod}/\text{ndf} $ distributions in the leptonic category. Upper row: $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. Lower row: $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ event mode, 3-jet (left) and 4-jet (right) events. A signal mass of $ m_{{\mathrm{B}}} = $ 1400 GeV is used and compared against all three years of data.

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Figure 7:
The estimate of the background in the signal region (upper left) is produced by fitting the background distribution in a control region (lower left) defined by the same $ \chi^2_\text{mod}/\text{ndf} $ as the signal region but with either no tag requirement (in the hadronic channel) or with a b-veto requirement (in the leptonic channel), and applying a reduction factor calculated in a higher $ \chi^2_\text{mod}/\text{ndf} $ region (upper right and lower right).

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Figure 8:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 8-a:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 8-b:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 8-c:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 8-d:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 8-e:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 8-f:
Distributions of $ m_{\text{VLQ}} $ for the preselected data sample in the fully hadronic category for some selected channels. Upper row: 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left) and 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left) and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The fit of the data (shown in blue) is given by the red line, and the bottom panel displays the fractional difference between the data and fit, (data-fit)/fit.

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Figure 9:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-a:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-b:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-c:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-d:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-e:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-f:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-g:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-h:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 9-i:
Value of BJTF as a function of $ m_{\text{VLQ}} $ in the control region with 12 $ < \chi^2_\text{mod}/\text{ndf} < $ 48 for some selected fully hadronic channels. Upper row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Middle row: 5-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. Lower row: 6-jet events in the $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (left), $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (center), and $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (right) modes. The linear fit is shown by the red line, and the associated uncertainty in the fit is shown by the shaded band.

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Figure 10:
Distributions of $ m_{\text{VLQ}} $ for events in the control region for the leptonic channels. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. The exponential fit and its uncertainty are shown by the red line and the light red shaded band, respectively. The bottom panel shows the fractional difference between the data and fit, (data-fit)/fit.

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Figure 10-a:
Distributions of $ m_{\text{VLQ}} $ for events in the control region for the leptonic channels. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. The exponential fit and its uncertainty are shown by the red line and the light red shaded band, respectively. The bottom panel shows the fractional difference between the data and fit, (data-fit)/fit.

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Figure 10-b:
Distributions of $ m_{\text{VLQ}} $ for events in the control region for the leptonic channels. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. The exponential fit and its uncertainty are shown by the red line and the light red shaded band, respectively. The bottom panel shows the fractional difference between the data and fit, (data-fit)/fit.

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Figure 10-c:
Distributions of $ m_{\text{VLQ}} $ for events in the control region for the leptonic channels. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. The exponential fit and its uncertainty are shown by the red line and the light red shaded band, respectively. The bottom panel shows the fractional difference between the data and fit, (data-fit)/fit.

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Figure 10-d:
Distributions of $ m_{\text{VLQ}} $ for events in the control region for the leptonic channels. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) modes. The exponential fit and its uncertainty are shown by the red line and the light red shaded band, respectively. The bottom panel shows the fractional difference between the data and fit, (data-fit)/fit.

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Figure 11:
Normalization factor as a function of $ m_{\text{VLQ}} $ for leptonic events in the 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 region. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 11-a:
Normalization factor as a function of $ m_{\text{VLQ}} $ for leptonic events in the 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 region. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 11-b:
Normalization factor as a function of $ m_{\text{VLQ}} $ for leptonic events in the 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 region. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 11-c:
Normalization factor as a function of $ m_{\text{VLQ}} $ for leptonic events in the 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 region. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 11-d:
Normalization factor as a function of $ m_{\text{VLQ}} $ for leptonic events in the 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 region. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 12:
Normalization factor in the leptonic category as a function of $ m_{\text{VLQ}} $ for simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 12-a:
Normalization factor in the leptonic category as a function of $ m_{\text{VLQ}} $ for simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 12-b:
Normalization factor in the leptonic category as a function of $ m_{\text{VLQ}} $ for simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 12-c:
Normalization factor in the leptonic category as a function of $ m_{\text{VLQ}} $ for simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 12-d:
Normalization factor in the leptonic category as a function of $ m_{\text{VLQ}} $ for simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 13:
Normalization factor in the leptonic category as a function of $ \chi^2_\text{mod}/\text{ndf} $. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 13-a:
Normalization factor in the leptonic category as a function of $ \chi^2_\text{mod}/\text{ndf} $. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 13-b:
Normalization factor in the leptonic category as a function of $ \chi^2_\text{mod}/\text{ndf} $. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 13-c:
Normalization factor in the leptonic category as a function of $ \chi^2_\text{mod}/\text{ndf} $. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 13-d:
Normalization factor in the leptonic category as a function of $ \chi^2_\text{mod}/\text{ndf} $. Upper row: 3-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. Lower row: 4-jet events in the $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (left) and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (right) channels. The constant fit and its uncertainty are shown by the red line and the light red shaded band, respectively.

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Figure 14:
Normalization factor in the low-mass region (450 to 900 GeV) and the high-mass region (800 to 2000 GeV) for events with 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 in data (left) and simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5 (right).

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Figure 14-a:
Normalization factor in the low-mass region (450 to 900 GeV) and the high-mass region (800 to 2000 GeV) for events with 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 in data (left) and simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5 (right).

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Figure 14-b:
Normalization factor in the low-mass region (450 to 900 GeV) and the high-mass region (800 to 2000 GeV) for events with 5 $ < \chi^2_\text{mod}/\text{ndf} < $ 20 in data (left) and simulated Drell--Yan events with $ \chi^2_\text{mod}/\text{ndf} < $ 5 (right).

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Figure 15:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 15-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 15-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 15-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 16:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 16-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 16-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 16-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 16-d:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 16-e:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 17:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 17-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 17-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 17-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 17-d:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 17-e:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 18:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 18-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 18-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 18-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 18-d:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 19:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 19-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 19-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 19-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 20:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 20-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 20-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 20-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 20-d:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 20-e:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 5-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 5-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 21:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 21-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 21-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 21-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 21-d:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 21-e:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic category. The channels shown are 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{H} $ (upper left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (middle left), 6-jet $ \mathrm{b}\mathrm{H}\mathrm{t}\mathrm{W} $ (middle right), and 6-jet $ \mathrm{b}\mathrm{Z}\mathrm{t}\mathrm{W} $ (lower center). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 22:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

png pdf
Figure 22-a:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 22-b:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

png pdf
Figure 22-c:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 22-d:
Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the leptonic category. The channels shown are 3-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper left), 4-jet $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ (upper right), 3-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower left), and 4-jet $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ (lower right). Five signal masses are shown: 1000 (pink), 1200 (red), 1400 (orange), 1600 (yellow), and 1800 GeV (green). The signal distributions are normalized to the number of events determined by the expected VLQ production cross section. The assumed branching fractions are $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 0%. The background distribution is independent of the signal branching fractions. The hatched regions indicate the total systematic uncertainties in the background estimate.

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Figure 23:
The limit at 95% CL on the cross section for VLQ pair production for four diferent branching fraction hypothesis: $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = $ 100% (upper left), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 100% (upper right), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50% (lower left), and $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50% (lower right). The expected limit is shown as the dashed line, with the 1-sigma and 2-sigma uncertainties shown by the green and yellow bands, respectively. The theoretical cross section and its uncertainty are shown by the red line and light red band.

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Figure 23-a:
The limit at 95% CL on the cross section for VLQ pair production for four diferent branching fraction hypothesis: $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = $ 100% (upper left), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 100% (upper right), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50% (lower left), and $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50% (lower right). The expected limit is shown as the dashed line, with the 1-sigma and 2-sigma uncertainties shown by the green and yellow bands, respectively. The theoretical cross section and its uncertainty are shown by the red line and light red band.

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Figure 23-b:
The limit at 95% CL on the cross section for VLQ pair production for four diferent branching fraction hypothesis: $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = $ 100% (upper left), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 100% (upper right), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50% (lower left), and $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50% (lower right). The expected limit is shown as the dashed line, with the 1-sigma and 2-sigma uncertainties shown by the green and yellow bands, respectively. The theoretical cross section and its uncertainty are shown by the red line and light red band.

png pdf
Figure 23-c:
The limit at 95% CL on the cross section for VLQ pair production for four diferent branching fraction hypothesis: $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = $ 100% (upper left), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 100% (upper right), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50% (lower left), and $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50% (lower right). The expected limit is shown as the dashed line, with the 1-sigma and 2-sigma uncertainties shown by the green and yellow bands, respectively. The theoretical cross section and its uncertainty are shown by the red line and light red band.

png pdf
Figure 23-d:
The limit at 95% CL on the cross section for VLQ pair production for four diferent branching fraction hypothesis: $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = $ 100% (upper left), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 100% (upper right), $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 50% (lower left), and $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 25%, $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = $ 50% (lower right). The expected limit is shown as the dashed line, with the 1-sigma and 2-sigma uncertainties shown by the green and yellow bands, respectively. The theoretical cross section and its uncertainty are shown by the red line and light red band.

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Figure 24:
Expected exclusion limits on the VLQ mass at 95% CL as a function of the branching fractions $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) $ and $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) $, with $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = 1 - \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) - \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) $. Points in the grey region, where the exclusion limit is less than 1000 GeV, are not shown.

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Figure 25:
Observed exclusion limits on the VLQ mass at 95% CL as a function of the branching fractions $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) $ and $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) $, with $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) = 1 - \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) - \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) $. Points in the grey region, where the exclusion limit is less than 1000 GeV, are not shown.
Tables

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Table 1:
Summary of channels considered for each category and jet multiplicity.

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Table 2:
Requirements for minimum number of single ($ N_{\mathrm{b}} $) and double ($ N_{\mathrm{b}\overline{\mathrm{b}}} $) b tags and working points (WP) used for each category, event mode, and jet multiplicity. The working points are described in the text.

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Table 3:
Optimized values of the $ \chi^2_\text{mod}/\text{ndf} $ selection as a function of jet multiplicity and event mode.

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Table 4:
Values of the BJTF for data events in the control region with 500 $ < m_{\text{VLQ}} < $ 800 GeV for each of the fully hadronic channels considered. The uncertainties shown are statistical.

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Table 5:
Values of the b-tag to b-veto ratio for events in the mass range 450 $ < m_{\text{VLQ}} < $ 900 GeV with $ \chi^2_\text{mod}/\text{ndf} < $ 5 for each of the dileptonic channels. The uncertainties shown are statistical only.

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Table of systematic uncertainties for the fully hadronic channels for a simulated signal mass of 1400 GeV and branching fractions of $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 40%. Only scaling parameters in the fits have significant uncertainties ($ > $0.01%). :

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Table of systematic uncertainties for the dileptonic $ \mathrm{b}\mathrm{H}\mathrm{b}\mathrm{Z} $ and $ \mathrm{b}\mathrm{Z}\mathrm{b}\mathrm{Z} $ channels for a simulated signal mass of 1400 GeV and branching fractions of $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) = \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) = $ 40%. :
Summary
A search for bottom-type vector-like quarks (VLQs) has been presented, using data from proton-proton collisions collected by the CMS detector in 2016--2018 at $ \sqrt{s} = $ 13 TeV. Results are combined from the fully hadronic category, where each B VLQ decays into either a b quark and a Higgs boson, a b quark and a Z boson, or a t quark and a W boson, and the leptonic category, where each B VLQ decays into a b quark and either a Higgs or a Z boson, and at least one decay includes a Z boson that decays into a pair of leptons. To account for the fact that the two jets from a Higgs, Z, or W boson decay may be reconstructed separately, or may be merged into a single reconstructed jet due to a high Lorentz boost, events are separated into different jet multiplicity categories and reconstructed appropriately. Backgrounds are estimated from data and limits are set on the VLQ mass at a 95% confidence level as a function of the branching fractions $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{H}) $, $ \mathcal{B}({\mathrm{B}} \to \mathrm{b}\mathrm{Z}) $, and $ \mathcal{B}({\mathrm{B}} \to \mathrm{t}\mathrm{W}) $. Compared to the previous CMS result [22], the limits on the B VLQ mass have been increased from 1390 to 1540 GeV and 1450 to 1500 GeV in the 100% $ {\mathrm{B}} \to \mathrm{b}\mathrm{Z} $ and $ {\mathrm{B}}\mathrm{Y} $ doublet cases, respectively, while also exceeding limits set by ATLAS at these branching fractions by 120 and 170 GeV, respectively [23,24]. These represent the current world best limits on B VLQs.
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