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CMS-PAS-HIG-18-004
Search for a charged Higgs boson decaying into top and bottom quarks in proton-proton collisions at $\sqrt{s}=$ 13 TeV in events with electrons or muons
Abstract: A search is presented for a charged Higgs boson heavier than the top quark and decaying into a top-bottom quark-antiquark pair. Events are selected by the presence of a single isolated charged lepton (electron or muon) or an opposite sign dilepton (electron or muon) pair, categorized according to the jet multiplicity and the number of jets containing a b-hadron decay, and multivariate techniques are used to enhance the signal-background discrimination in each category. This search is based on proton-proton collision data collected by the CMS experiment at the LHC at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The data are compatible with the standard model, and 95% CL upper limits of 9.6-0.01 pb are set on the product of the charged Higgs boson production cross section and the branching fraction to top-bottom quark-antiquark pair, with mass from 200 GeV to 3 TeV. The upper limits are interpreted in different minimal supersymmetric extensions of the standard model.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Feynman diagrams for the production of a heavy charged Higgs boson in the four-flavor scheme (4FS, left) and in the five-flavor scheme (5FS, right).

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Figure 2:
Summary of event yields in each analysis category for single-muon (top left), single-electron (top right), and dilepton (bottom) final states. The yields observed in data (black markers) are overlayed. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 2-a:
Summary of event yields in each analysis category for the single-muon final state. The yields observed in data (black markers) are overlayed. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 2-b:
Summary of event yields in each analysis category for the single-electron final state. The yields observed in data (black markers) are overlayed. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 2-c:
Summary of event yields in each analysis category for the dilepton final state. The yields observed in data (black markers) are overlayed. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 3:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the single-muon 5j/$\ge $3b category(top left), for the single-electron 5j/$\ge $3b category(top right), and for the dilepton 3j/$\ge $3b category (bottom). The black markers show the data observation. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 3-a:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the single-muon 5j/$\ge $3b category. The black markers show the data observation. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 3-b:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the single-electron 5j/$\ge $3b category. The black markers show the data observation. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 3-c:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the dilepton 3j/$\ge $3b category. The black markers show the data observation. The solid histograms represent the SM background prediction for $\mathrm{t} \mathrm{\bar{t}} $+LF (light red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{c} $($\mathrm{\bar{c}} $) (dark red), $\mathrm{t} \mathrm{\bar{t}} $+$\mathrm{b} $($\mathrm{\bar{b}} $) (brown), single top quark and ${\mathrm{t} \mathrm{\bar{t}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a product of the cross section and the branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Figure 4:
The upper limit at 95% CL on $ {\sigma _{\mathrm{H} ^\pm}} {\mathcal {B}(\mathrm{H} ^\pm \rightarrow \mathrm{t} \mathrm{b})}$ with single-lepton and dilepton final states combined. The solid black markers describe the observed upper limits, while the dashed line corresponds to the expectations from the SM background. The green (yellow) band represents one (two) standard deviation from the expected median.

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Figure 5:
Excluded parameter space region in the ${m_\mathrm {h}^\mathrm {mod-}}$ scenario (left) and in the ${m_\mathrm {h}^\mathrm {125}(\tilde{\chi})}$ scenario (right). The grey area delimited by solid black line and markers represents the observed excluded region. The dashed black line and the green (yellow) regions represent the median expected exclusion regions and one (two) standard deviation from the expected median, respectively. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.

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Figure 5-a:
Excluded parameter space region in the ${m_\mathrm {h}^\mathrm {mod-}}$ scenario. The grey area delimited by solid black line and markers represents the observed excluded region. The dashed black line and the green (yellow) regions represent the median expected exclusion regions and one (two) standard deviation from the expected median, respectively. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.

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Figure 5-b:
Excluded parameter space region in the ${m_\mathrm {h}^\mathrm {125}(\tilde{\chi})}$ scenario. The grey area delimited by solid black line and markers represents the observed excluded region. The dashed black line and the green (yellow) regions represent the median expected exclusion regions and one (two) standard deviation from the expected median, respectively. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.
Tables

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Table 1:
Summary of the discriminating variables used in the analysis of the single-lepton (1$\ell $) and dilepton (2$\ell $) final states.

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Table 2:
Effects of the systematic uncertainties as the percentual variation of the final event yields prior to the fit to the data, summed over all final states and categories.

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Table 3:
The upper limit at 95% CL on the $ {\sigma _{\mathrm{H} ^\pm}} {\mathcal {B}(\mathrm{H} ^\pm \rightarrow \mathrm{t} \mathrm{b})}$ with the single-lepton and dilepton final states combined.
Summary
A search is presented for a charged Higgs boson decaying into a top-bottom quark-antiquark pair. The analyzed proton-proton collision data are collected with the CMS detector at the LHC and correspond to an integrated luminosity of 35.9 fb$^{-1}$ . The search uses events with a single isolated charged lepton (electron or muon) or an opposite sign dilepton pair (electron or muon). Events are categorized according to the jet multiplicity and the number of jets identified as containing a b-hadron decay. Multivariate techniques are used to discriminate between signal and background events, the latter being dominated by $\mathrm{t\bar{t}}$ production. Results are presented for a charged Higgs boson with a mass larger than the top quark mass. 95% confidence level upper limits of 9.6 pb are set on the product of the charged Higgs production cross section and the branching fraction into top-bottom quark-antiquark pair in the mass range from 200 GeV to 3 TeV. Exclusion regions in the parameter space of the minimal supersymmetric standard model ${m_\mathrm{h}^\mathrm{mod-}}$ and ${m_\mathrm{h}^\mathrm{125}(\tilde{\chi})} $ benchmark scenarios are presented.
Additional Figures

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Additional Figure 1:
Relative background event yields in the single lepton final state, shown in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, before the background-only fit of all categories.

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Additional Figure 2:
Relative background event yields in the dilepton final state, shown in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, before the background-only fit of all categories.

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Additional Figure 3:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the single muon 5j/2b category. The black markers show the data observation. The solid histograms represent the SM background prediction for ${\mathrm {t}} {\overline {\mathrm {t}}}$+LF (light red), ${\mathrm {t}} {\overline {\mathrm {t}}}$+${\mathrm {c}}({\overline {\mathrm {c}}}$) (dark red), ${\mathrm {t}} {\overline {\mathrm {t}}}$+${\mathrm {b}}({\overline {\mathrm {b}}}$) (brown), single top quark and ${{\mathrm {t}\overline {\mathrm {t}}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a cross section times branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Additional Figure 4:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the single electron 5j/2b category. The black markers show the data observation. The solid histograms represent the SM background prediction for ${\mathrm {t}} {\overline {\mathrm {t}}}$+LF (light red), ${\mathrm {t}} {\overline {\mathrm {t}}}$+${\mathrm {c}}({\overline {\mathrm {c}}}$) (dark red), ${\mathrm {t}} {\overline {\mathrm {t}}}$+${\mathrm {b}}({\overline {\mathrm {b}}}$) (brown), single top quark and ${{\mathrm {t}\overline {\mathrm {t}}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a cross section times branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Additional Figure 5:
Distributions of the MVA outputs of the data and the SM expectation after the background-only fit to the data for the dilepton 2j/1b category. The black markers show the data observation. The solid histograms represent the SM background prediction for ${\mathrm {t}} {\overline {\mathrm {t}}}$+LF (light red), ${\mathrm {t}} {\overline {\mathrm {t}}}$+${\mathrm {c}}({\overline {\mathrm {c}}}$) (dark red), ${\mathrm {t}} {\overline {\mathrm {t}}}$+${\mathrm {b}}({\overline {\mathrm {b}}}$) (brown), single top quark and ${{\mathrm {t}\overline {\mathrm {t}}}}$ in association with extra bosons (blue), and V+jets and multiboson production (light green). The dashed line represents the yields for a charged Higgs boson with a mass of 500 GeV and a cross section times branching fraction of 10 pb. The lower panel shows the ratio of data to the SM expectation after the background-only fit to the data and the hatched uncertainty bands include the total uncertainty.

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Additional Figure 6:
Ratio of the median expected 95% CL exclusion limits on ${\sigma ({\mathrm {p}} {\mathrm {p}} \rightarrow {\mathrm {H}} ^{+} {\overline {\mathrm {t}}} {\mathrm {b}}) \mathcal {B}({\mathrm {H}} ^{+} \rightarrow {\mathrm {t}} {\overline {\mathrm {b}}})} + {\sigma ({\mathrm {p}} {\mathrm {p}} \rightarrow {\mathrm {H}} ^{-} {\mathrm {t}} {\overline {\mathrm {b}}}) \mathcal {B}({\mathrm {H}} ^{-} \rightarrow {\overline {\mathrm {t}}} {\mathrm {b}})}$ using the full MVA output over the median expected 95% CL exclusion limits using the event rates in all categories. The upper limits have been computed using the Asimov dataset.

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Additional Figure 7:
Ratio of the median expected 95% CL exclusion limits on ${\sigma ({\mathrm {p}} {\mathrm {p}} \rightarrow {\mathrm {H}} ^{+} {\overline {\mathrm {t}}} {\mathrm {b}}) \mathcal {B}({\mathrm {H}} ^{+} \rightarrow {\mathrm {t}} {\overline {\mathrm {b}}})} + {\sigma ({\mathrm {p}} {\mathrm {p}} \rightarrow {\mathrm {H}} ^{-} {\mathrm {t}} {\overline {\mathrm {b}}}) \mathcal {B}({\mathrm {H}} ^{-} \rightarrow {\overline {\mathrm {t}}} {\mathrm {b}})}$ in the single lepton final state (dashed blue) and in the dileptonic final states (dotted red) to all final states combined (black).

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Additional Figure 8:
Significance $S/\sqrt {B}$ in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, for the single lepton final state summed over electron/muon. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}} ^{\pm}} = $ 200 GeV, normalized to a cross section times branching fraction of 1 pb. $B$ represents the total background yield from simulation, prior to the fit to data. Systematic uncertainties are not taken into account.

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Additional Figure 9:
Significance $S/\sqrt {B}$ in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, for the single lepton final state summed over electron/muon. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}} ^{\pm}} = $ 500 GeV, normalized to a cross section times branching fraction of 1 pb. $B$ represents the total background yield from simulation, prior to the fit to data. Systematic uncertainties are not taken into account.

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Additional Figure 10:
Significance $S/\sqrt {B}$ in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, for the single lepton final state summed over electron/muon. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}} ^{\pm}} = $ 2 TeV, normalized to a cross section times branching fraction of 1 pb. $B$ represents the total background yield from simulation, prior to the fit to data. Systematic uncertainties are not taken into account.

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Additional Figure 11:
Significance $S/\sqrt {B}$ in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, for the dilepton final state summed over electron/muon. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}} ^{\pm}} = $ 200 GeV, normalized to a cross section times branching fraction of 1 pb. $B$ represents the total background yield from simulation, prior to the fit to data. Systematic uncertainties are not taken into account.

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Additional Figure 12:
Significance $S/\sqrt {B}$ in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, for the dilepton final state summed over electron/muon. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}} ^{\pm}} = $ 500 GeV, normalized to a cross section times branching fraction of 1 pb. $B$ represents the total background yield from simulation, prior to the fit to data. Systematic uncertainties are not taken into account.

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Additional Figure 13:
Significance $S/\sqrt {B}$ in the categories defined by the jet multiplicity and the number of jets passing the b jet identification, for the dilepton final state summed over electron/muon. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}} ^{\pm}} = $ 2 TeV, normalized to a cross section times branching fraction of 1 pb. $B$ represents the total background yield from simulation, prior to the fit to data. Systematic uncertainties are not taken into account.

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Additional Figure 14:
Observed limits (solid points) interpreted as a 95% CL exclusion region (hatched area) in the MSSM ($m_{{\mathrm {H}} ^{\pm}}$, $ {\tan\beta} $) parameter space in the ${m_\mathrm {h}^\mathrm {mod-}}$ benchmark scenario, compared to the expected limit assuming only standard model processes (dashed line). The black hatched area is excluded by the the $ {\mathrm {H}} ^{\pm}\rightarrow tb$ search while the blue hatched area is excluded by the $ {\mathrm {H}} ^{\pm} \rightarrow \tau \nu $ search. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.

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Additional Figure 15:
Observed limits (solid black points) interpreted as a 95% CL exclusion region (light-grey area) in the MSSM ($m_{{\mathrm {H}} ^{\pm}}$, $ {\tan\beta} $) parameter space in the light stau benchmark scenario, compared to the expected limit assuming only standard model processes (dashed line). The green (yellow) error bands represent one (two) standard deviations from the expected limit. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.

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Additional Figure 16:
Observed limits (solid black points) interpreted as a 95% CL exclusion region (light-grey area) in the MSSM ($m_{{\mathrm {H}} ^{\pm}}$, $ {\tan\beta} $) parameter space in the ${m_\mathrm {h}^\text {max}}$ (updated) benchmark scenario, compared to the expected limit assuming only standard model processes (dashed line). The green (yellow) error bands represent one (two) standard deviations from the expected limit. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.

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Additional Figure 17:
Observed limits (solid black points) interpreted as a 95% CL exclusion region (light-grey area) in the MSSM ($m_{{\mathrm {H}} ^{\pm}}$, $ {\tan\beta} $) parameter space in the ${M_\mathrm {h}^\text {125}}$ benchmark scenario, compared to the expected limit assuming only standard model processes (dashed line). The green (yellow) error bands represent one (two) standard deviations from the expected limit. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.

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Additional Figure 18:
Observed limits (solid black points) interpreted as a 95% CL exclusion region (light-grey area) in the MSSM ($m_{{\mathrm {H}} ^{\pm}}$, $ {\tan\beta} $) parameter space in the ${M_\mathrm {h}^\text {125}(\tilde{\tau})}$ benchmark scenario, compared to the expected limit assuming only standard model processes (dashed line). The green (yellow) error bands represent one (two) standard deviations from the expected limit. The region below the red line is excluded assuming that the observed neutral Higgs boson is the light CP-even 2HDM Higgs boson with a mass of 125 $\pm$ 3 GeV, where the uncertainty is the theoretical uncertainty in the mass calculation.
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