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CMS-PAS-SUS-24-001
Search for bosons of an extended Higgs sector in b quark final states in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
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 analyzed were recorded in proton-proton collisions at a centre-of-mass energy of $ \sqrt{s} = $ 13 TeV at the LHC, corresponding to an integrated luminosity of up to 126.9 fb$ ^{-1} $. No signal above the standard model background expectation is observed. Stringent upper limits on the 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 (MSSM), as well as suitable classes of two Higgs doublet models (2HDMs).
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 Higgs boson mass after triple b tag selection in red and b tag veto selection in blue for 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels.

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Figure 2-a:
Signal efficiency as a function of the Higgs boson mass after triple b tag selection in red and b tag veto selection in blue for 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels.

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Figure 2-b:
Signal efficiency as a function of the Higgs boson mass after triple b tag selection in red and b tag veto selection in blue for 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels.

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Figure 2-c:
Signal efficiency as a function of the Higgs boson mass after triple b tag selection in red and b tag veto selection in blue for 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels.

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Figure 3:
Signal shapes for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 3-a:
Signal shapes for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 3-b:
Signal shapes for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) channels. The solid curves show the signal parameterisations by double-sided Crystal Ball probability density functions.

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Figure 3-c:
Signal shapes for three representative values of the Higgs boson mass $ m_{\phi} $ in the 2017 SL (top left), 2017 FH (top right), and 2018 FH (bottom) 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 control region for the 2017 SL channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 4-a:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 SL channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 4-b:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 SL channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 4-c:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 SL channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 5:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 5-a:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 5-b:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 5-c:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 5-d:
Invariant mass distributions of the three fit ranges in the b tag veto control region for the 2017 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 6:
Invariant mass distributions of the four fit ranges in the b tag veto control region for the 2018 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 6-a:
Invariant mass distributions of the four fit ranges in the b tag veto control region for the 2018 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 6-b:
Invariant mass distributions of the four fit ranges in the b tag veto control region for the 2018 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 6-c:
Invariant mass distributions of the four fit ranges in the b tag veto control region for the 2018 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 6-d:
Invariant mass distributions of the four fit ranges in the b tag veto control region for the 2018 FH channel, overlay with the fitted functions. The chi-square goodness of fit test and corresponding p-value are obtained on each plot. The lower panels show the difference between data and the fitted function, divided by the estimated statistical uncertainty for each bin. Good agreement between data and the fitted functions is achieved.

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Figure 7:
Fictituous expected and observed upper limits for cross-section times branching fraction at 95% CL, as they are determined by using the validation region (VR) as a proxy for the signal region (SR) in the 2017 SL (left) and the 2018 FH analysis (right). They are computed as a validation of background model and signal extraction method, and do not represent an actual cross-section measurement in the VR. The vertical dashed lines indicate the boundaries of the fit ranges.

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Figure 7-a:
Fictituous expected and observed upper limits for cross-section times branching fraction at 95% CL, as they are determined by using the validation region (VR) as a proxy for the signal region (SR) in the 2017 SL (left) and the 2018 FH analysis (right). They are computed as a validation of background model and signal extraction method, and do not represent an actual cross-section measurement in the VR. The vertical dashed lines indicate the boundaries of the fit ranges.

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Figure 7-b:
Fictituous expected and observed upper limits for cross-section times branching fraction at 95% CL, as they are determined by using the validation region (VR) as a proxy for the signal region (SR) in the 2017 SL (left) and the 2018 FH analysis (right). They are computed as a validation of background model and signal extraction method, and do not represent an actual cross-section measurement in the VR. The vertical dashed lines indicate the boundaries of the fit ranges.

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Figure 8:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 8-a:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 8-b:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 8-c:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the SL category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 9:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 9-a:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 9-b:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 9-c:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 9-d:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2017 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 10:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 10-a:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 10-b:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 10-c:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 10-d:
Background-only fits of the $M_{12}$ distribution in each fit range of the 2018 analysis in the FH category, shown together with $ \pm $1$\sigma $, $ \pm $2$\sigma $ uncertainty bands extracted from the fit. The pulls with respect to the estimated background are shown in the lower panel.

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Figure 11:
Expected and observed upper limits for the Higgs b-associated production cross-section times branching fraction of the decay into a b-quark pair at 95% CL as a function of $ m_{\phi} $ for the 2017 SL category. The green (yellow) bands correspond to $ \pm $1(2)$ \sigma $ bands. The vertical dashed lines indicate the boundaries of the fit ranges.

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Figure 12:
Expected and observed upper limits for the Higgs b-associated production cross-section times branching fraction of the decay into a b-quark pair at 95% CL as a function of $ m_{\phi} $ for the 2017 FH category. The green (yellow) bands correspond to $ \pm $1(2)$ \sigma $ bands. The vertical dashed lines indicate the boundaries of the fit ranges.

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Figure 13:
Expected and observed upper limits for the Higgs b-associated production cross-section times branching fraction of the decay into a b-quark pair at 95% CL as a function of $ m_{\phi} $ for the 2018 FH category. The green (yellow) bands correspond to $ \pm $1(2)$ \sigma $ bands. The vertical dashed lines indicate the boundaries of the fit ranges.

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Figure 14:
Expected and observed upper limits for the Higgs b-associated production cross-section times branching fraction of the decay into a b-quark pair at 95% CL as a function of $ m_{\phi} $, corresponding to the Run 2 combination. The green (yellow) bands correspond to $ \pm $1(2)$ \sigma $ bands. The vertical 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.

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Figure 15:
Interpretation in the $ M_{\mathrm{h}}^{\text{125}} $ scenario of the MSSM: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. 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 16:
Interpretation in the $ M_{\mathrm{h}}^{\text{125}} $ scenario of the MSSM: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. The higgsino mass parameter has been set to $ \mu = - $1 TeV (top left), $ \mu = - $2 TeV (top right), and $ \mu = - $3 TeV (bottom). 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{125}} $ scenario of the MSSM: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. The higgsino mass parameter has been set to $ \mu = - $1 TeV (top left), $ \mu = - $2 TeV (top right), and $ \mu = - $3 TeV (bottom). 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{125}} $ scenario of the MSSM: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. The higgsino mass parameter has been set to $ \mu = - $1 TeV (top left), $ \mu = - $2 TeV (top right), and $ \mu = - $3 TeV (bottom). 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-c:
Interpretation in the $ M_{\mathrm{h}}^{\text{125}} $ scenario of the MSSM: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. The higgsino mass parameter has been set to $ \mu = - $1 TeV (top left), $ \mu = - $2 TeV (top right), and $ \mu = - $3 TeV (bottom). 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 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 a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. 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-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 a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. 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-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 a function of the mass of the CP-odd boson, $ m_{\mathrm{A}} $. 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 18:
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 a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (top), and the 2HDM Flipped scenario (bottom).

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Figure 18-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 a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (top), and the 2HDM Flipped scenario (bottom).

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Figure 18-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 a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (top), and the 2HDM Flipped scenario (bottom).

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Figure 18-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 a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (top), and the 2HDM Flipped scenario (bottom).

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Figure 18-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 a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 300 GeV (right), for the 2HDM Type-II scenario (top), and the 2HDM Flipped scenario (bottom).

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Figure 19:
Interpretation in the 2HDM flipped scenario: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900 and 1200 GeV.

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Figure 19-a:
Interpretation in the 2HDM flipped scenario: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900 and 1200 GeV.

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Figure 19-b:
Interpretation in the 2HDM flipped scenario: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900 and 1200 GeV.

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Figure 19-c:
Interpretation in the 2HDM flipped scenario: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function of $ \cos(\beta-\alpha) $ for masses of $ m_{\mathrm{A}} = m_{\mathrm{H}} = $ 140, 600, 900 and 1200 GeV.

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Figure 19-d:
Interpretation in the 2HDM flipped scenario: Observed and expected upper limits at 95% CL on the parameter $ \tan\beta $ as a function 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:
Definition of fit ranges for 2017 SL, 2017 FH, and 2018 FH channels in terms of the reconstructed mass $M_{12}$ 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 $, produced in association with b quarks and decaying into a pair of b quarks is presented using the full Run 2 CMS data set of 13 TeV pp collisions, corresponding to an integrated luminosity of up to 126.9 fb$^{-1}$. Two methods of selecting the multi-b quark final state are used, the fully hadronic and semileptonic selections, allowing for a sensitive mass range extending from 125 to 1800 GeV. No significant excess of events above the expected SM background is observed. Model-independent exclusion limits at 95% confidence level in 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 sensitive to this search. These results represent the most stringent limits in the high-mass regime with this final state to date.
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Compact Muon Solenoid
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