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Compact Muon Solenoid
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CMS-SUS-24-001 ; CERN-EP-2024-335
Search for bosons of an extended Higgs sector in b quark final states in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Submitted to J. High Energy Phys.
Abstract: A search for beyond-the-standard-model neutral Higgs bosons in final states with bottom quarks is performed with the CMS detector. The data were recorded in proton-proton collisions at a centre-of-mass energy of 13 TeV at the CERN LHC and correspond to an integrated luminosity of 36.7-126.9 fb$ ^{-1} $, depending on the probed mass range. No signal above the standard model background expectation is observed. Upper limits on the production cross section times branching fraction are set for Higgs bosons in the mass range of 125-1800 GeV. The results are interpreted in benchmark scenarios of the minimal supersymmetric standard model, as well as suitable classes of two-Higgs-doublet models.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Example Feynman diagrams for the signal processes.

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Figure 1-a:
Example Feynman diagrams for the signal processes.

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Figure 1-b:
Example Feynman diagrams for the signal processes.

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Figure 1-c:
Example Feynman diagrams for the signal processes.

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Figure 2:
Signal efficiency as a function of the mass $ m_{\phi} $ after triple b tag selection for 2017 SL (squares), 2017 FH (triangles), and 2018 FH (circles) channels.

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Figure 3:
Simulated signal yields normalized to unit area for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (upper left), 2017 FH (upper right), and 2018 FH (lower) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 3-a:
Simulated signal yields normalized to unit area for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (upper left), 2017 FH (upper right), and 2018 FH (lower) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 3-b:
Simulated signal yields normalized to unit area for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (upper left), 2017 FH (upper right), and 2018 FH (lower) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 3-c:
Simulated signal yields normalized to unit area for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (upper left), 2017 FH (upper right), and 2018 FH (lower) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 4:
Invariant mass distributions of the three fit ranges in the b tag veto CR for the 2017 SL channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower). The $ \chi^2 $ and the corresponding p-value obtained from the goodness-of-fit test are displayed on each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 4-a:
Invariant mass distributions of the three fit ranges in the b tag veto CR for the 2017 SL channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower). The $ \chi^2 $ and the corresponding p-value obtained from the goodness-of-fit test are displayed on each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 4-b:
Invariant mass distributions of the three fit ranges in the b tag veto CR for the 2017 SL channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower). The $ \chi^2 $ and the corresponding p-value obtained from the goodness-of-fit test are displayed on each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 4-c:
Invariant mass distributions of the three fit ranges in the b tag veto CR for the 2017 SL channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower). The $ \chi^2 $ and the corresponding p-value obtained from the goodness-of-fit test are displayed on each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 5:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2017 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 5-a:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2017 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 5-b:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2017 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 5-c:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2017 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 5-d:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2017 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 6:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2018 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 6-a:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2018 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 6-b:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2018 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 6-c:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2018 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 6-d:
Invariant mass distributions of the four fit ranges in the b tag veto CR for the 2018 FH channel, overlaid with the fitted functions. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right). The $ \chi^2 $ goodness-of-fit test and corresponding p-value are indicated in each plot. The lower panels show the difference between the data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between the fitted functions and the data is achieved.

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Figure 7:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower).

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Figure 7-a:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower).

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Figure 7-b:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower).

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Figure 7-c:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 120-300 GeV (upper left), 180-460 GeV (upper right), and 240-800 GeV (lower).

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Figure 8:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right).

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Figure 8-a:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right).

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Figure 8-b:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right).

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Figure 8-c:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right).

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Figure 8-d:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 240-560 GeV (upper left), 280-800 GeV (upper right), 400-1300 GeV (lower left), and 600-2000 GeV (lower right).

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Figure 9:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right).

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Figure 9-a:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right).

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Figure 9-b:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right).

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Figure 9-c:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right).

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Figure 9-d:
Background-only fits to the $ M_{12} $ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ {\pm}1\sigma $ and $ {\pm}2\sigma $ uncertainty bands extracted from the fit in the upper panels. The lower panels show the difference between data and fitted background, divided by the statistical uncertainty of the latter. The distributions are fitted in the $ M_{12} $ ranges of 270-560 GeV (upper left), 320-800 GeV (upper right), 390-1270 GeV (lower left), and 500-2000 GeV (lower right).

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Figure 10:
Expected and observed upper limits for the b-quark-associated Higgs boson production cross section times branching fraction of the decay into a b quark pair at 95% CL as functions of $ m_{\phi} $ for the 2017 SL category. The vertical dashed lines indicate the boundaries of usage of the different fit ranges, as reflected in the rightmost column of Table 2.

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Figure 11:
Expected and observed upper limits for the b-quark-associated Higgs boson production cross section times branching fraction of the decay into a b quark pair at 95% CL as functions of $ m_{\phi} $ for the 2017 FH category. The vertical dashed lines indicate the boundaries of usage of the different fit ranges, as reflected in the rightmost column of Table 2.

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Figure 12:
Expected and observed upper limits for the b-quark-associated Higgs boson production cross section times branching fraction of the decay into a b quark pair at 95% CL as functions of $ m_{\phi} $ for the 2018 FH category. The vertical dashed lines indicate the boundaries of usage of the different fit ranges, as reflected in the rightmost column of Table 2.

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Figure 13:
Expected and observed upper limits for the b-quark-associated Higgs boson production cross section times branching fraction of the decay into a b quark pair at 95% CL as functions of $ m_{\phi} $, corresponding to the combination with the 2016 data. The vertical dashed line separates the mass range where only the 2017 SL category contributes on its left, from the region where also the 2017 FH and 2018 FH categories contribute on its right. The expected limits from the 2017 SL, 2017 FH, and 2018 FH datasets as well as from the previously published result based on the 2016 dataset are also shown as colored lines.

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Figure 14:
Interpretation in the $ M_{\mathrm{h}}^{125} $ scenario of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. The higgsino mass parameter has been set to $ \mu = + $1 TeV. The hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 15:
Interpretation in the $ M_{\mathrm{h}}^{125} $ scenario of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. The higgsino mass parameter has been set to $ \mu = - $1 TeV (upper left), $ \mu = - $2 TeV (upper right), and $ \mu = - $3 TeV (lower). The hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 15-a:
Interpretation in the $ M_{\mathrm{h}}^{125} $ scenario of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. The higgsino mass parameter has been set to $ \mu = - $1 TeV (upper left), $ \mu = - $2 TeV (upper right), and $ \mu = - $3 TeV (lower). The hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 15-b:
Interpretation in the $ M_{\mathrm{h}}^{125} $ scenario of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. The higgsino mass parameter has been set to $ \mu = - $1 TeV (upper left), $ \mu = - $2 TeV (upper right), and $ \mu = - $3 TeV (lower). The hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 15-c:
Interpretation in the $ M_{\mathrm{h}}^{125} $ scenario of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. The higgsino mass parameter has been set to $ \mu = - $1 TeV (upper left), $ \mu = - $2 TeV (upper right), and $ \mu = - $3 TeV (lower). The hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 16:
Interpretation in the $ m_{\mathrm{h}}^{\text{mod+}} $ (left) and hMSSM (right) scenarios of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. In the left plot, the hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 16-a:
Interpretation in the $ m_{\mathrm{h}}^{\text{mod+}} $ (left) and hMSSM (right) scenarios of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. In the left plot, the hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 16-b:
Interpretation in the $ m_{\mathrm{h}}^{\text{mod+}} $ (left) and hMSSM (right) scenarios of the MSSM: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of the mass $ m_{\mathrm{A}} $ of the $ CP $-odd Higgs boson. In the left plot, the hashed area indicates the parameter region in which the mass of the lightest MSSM Higgs boson does not coincide with 125 GeV within a margin of 3 GeV.

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Figure 17:
Interpretation in 2HDM scenarios: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ m_{\mathrm{A},\mathrm{H}} $ for $ \cos(\beta-\alpha)= $ 0.1 (left), and as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (upper), and the 2HDM Flipped scenario (lower).

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Figure 17-a:
Interpretation in 2HDM scenarios: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ m_{\mathrm{A},\mathrm{H}} $ for $ \cos(\beta-\alpha)= $ 0.1 (left), and as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (upper), and the 2HDM Flipped scenario (lower).

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Figure 17-b:
Interpretation in 2HDM scenarios: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ m_{\mathrm{A},\mathrm{H}} $ for $ \cos(\beta-\alpha)= $ 0.1 (left), and as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (upper), and the 2HDM Flipped scenario (lower).

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Figure 17-c:
Interpretation in 2HDM scenarios: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ m_{\mathrm{A},\mathrm{H}} $ for $ \cos(\beta-\alpha)= $ 0.1 (left), and as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (upper), and the 2HDM Flipped scenario (lower).

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Figure 17-d:
Interpretation in 2HDM scenarios: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ m_{\mathrm{A},\mathrm{H}} $ for $ \cos(\beta-\alpha)= $ 0.1 (left), and as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (upper), and the 2HDM Flipped scenario (lower).

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Figure 18:
Interpretation in the 2HDM flipped scenario: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900, and 1200 GeV.

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Figure 18-a:
Interpretation in the 2HDM flipped scenario: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900, and 1200 GeV.

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Figure 18-b:
Interpretation in the 2HDM flipped scenario: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900, and 1200 GeV.

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Figure 18-c:
Interpretation in the 2HDM flipped scenario: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900, and 1200 GeV.

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Figure 18-d:
Interpretation in the 2HDM flipped scenario: observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as functions of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900, and 1200 GeV.
Tables

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Table 1:
Summary of the main parameters of the offline selection for the three datasets 2017 SL, 2017 FH, and 2018 FH, where $ j_1 $, $ j_2 $, $ j_3 $ indicate the first three leading jets. Entries denoted by ``$ \text{---} $'' indicate that the selection is not applied. Signal region (SR) and control region (CR) only differ in the b\ tag selection, shown in the bottom rows, where ``$ > $M'' (``$ < $L'') indicate that the respective jet should pass (fail) the requirement of the medium (loose) working point, respectively.

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Table 2:
Definition of fit ranges for the 2017 SL, 2017 FH, and 2018 FH channels in terms of $ M_{12} $ and the associated values of the nominal Higgs boson mass, $ m_{\phi} $, which are probed in this fit range.
Summary
A search for beyond-the-standard-model neutral Higgs bosons, $ \phi $, produced in association with b quarks and decaying into a pair of b quarks is presented using a CMS data set of 13 TeV proton-proton collisions, based on an integrated luminosity of 36.7-126.9 fb$ ^{-1} $. The multi b quark final state is selected with requirements targeting both fully hadronic and semileptonic b quark decays, allowing for a sensitivity in the mass range extending from 125 to 1800 GeV. No significant excess of events above the expected SM background is observed. Exclusion limits at 95% confidence level on the production cross section times branching fraction are obtained. The results are also interpreted as constraints in the parameter space of MSSM and 2HDM scenarios to which this search is sensitive. These results represent the most stringent limits to date in the high-mass regime with this final state.
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