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CMS-HIG-21-010 ; CERN-EP-2022-125
Search for a charged Higgs boson decaying into a heavy neutral Higgs boson and a W boson in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 09 (2023) 032
Abstract: A search for a charged Higgs boson ${\mathrm{\tilde{H}^{\pm}}}$ decaying into a heavy neutral Higgs boson H and a W boson is presented. The analysis targets the H decay into a pair of tau leptons with at least one of them decaying hadronically and with an additional electron or muon present in the event. The search is based on proton-proton collision data recorded by the CMS experiment during 2016-2018 at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. The data are consistent with standard model background expectations. Upper limits at 95% confidence level are set on the product of the cross section and branching fraction for an ${\mathrm{\tilde{H}^{\pm}}}$ in the mass range of 300-700 GeV, assuming an H with a mass of 200 GeV. The observed limits range from 0.085 pb for an ${\mathrm{\tilde{H}^{\pm}}}$ mass of 300 GeV to 0.019 pb for a mass of 700 GeV. These are the first limits on ${\mathrm{\tilde{H}^{\pm}}}$ production in the ${\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}$ decay channel at the LHC.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Leading order Feynman diagrams for the production of a heavy $\mathrm{H} ^{+}$ at the LHC through ${{\mathrm{p}} {\mathrm{p}} \to \mathrm{t} (\mathrm{b}) \mathrm{H} ^{+}}$ in the 4FS (left) and 5FS (right).

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Figure 1-a:
Leading order Feynman diagram for the production of a heavy $\mathrm{H} ^{+}$ at the LHC through ${{\mathrm{p}} {\mathrm{p}} \to \mathrm{t} (\mathrm{b}) \mathrm{H} ^{+}}$ in the 4FS.

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Figure 1-b:
Leading order Feynman diagram for the production of a heavy $\mathrm{H} ^{+}$ at the LHC through ${{\mathrm{p}} {\mathrm{p}} \to \mathrm{t} (\mathrm{b}) \mathrm{H} ^{+}}$ in the 5FS.

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Figure 2:
Feynman diagrams showing the signal processes targeted by this analysis, with the production of a heavy $\mathrm{H} ^{+}$ in the 4FS, followed by the ${\mathrm{H} ^{+} \to \mathrm{H} \mathrm{W} ^{+}}$ and ${\mathrm{H} \to \tau \tau}$ decays, resulting in ${\ell {\tau _\mathrm {h}}}$ (left) and ${\ell {\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ (right) final states. Contributions to the ${\ell {\tau _\mathrm {h}}}$ final state may also arise from the right diagram when one ${\tau _\mathrm {h}}$ from the ${\mathrm{H} \to \tau \tau}$ decay is not reconstructed.

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Figure 2-a:
Feynman diagram showing the signal processes targeted by this analysis, with the production of a heavy $\mathrm{H} ^{+}$ in the 4FS, followed by the ${\mathrm{H} ^{+} \to \mathrm{H} \mathrm{W} ^{+}}$ and ${\mathrm{H} \to \tau \tau}$ decays, resulting in the ${\ell {\tau _\mathrm {h}}}$ final state.

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Figure 2-b:
Feynman diagram showing the signal processes targeted by this analysis, with the production of a heavy $\mathrm{H} ^{+}$ in the 4FS, followed by the ${\mathrm{H} ^{+} \to \mathrm{H} \mathrm{W} ^{+}}$ and ${\mathrm{H} \to \tau \tau}$ decays, resulting in the ${\ell {\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final state.

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Figure 3:
Receiver operating characteristic curve of the ${\mathrm{t} ^{\text {res}}}$ tagger. The cross-, triangle-, and star-shaped markers indicate the loose, medium, and tight working points with 10, 5, and 1% background misidentification probability. The corresponding identification efficiencies are 91, 81, and 47%, respectively.

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Figure 4:
Misidentification rate (left) and ${\mathrm{t} ^{\text {res}}}$-tagging efficiency (right) in data and simulation, as a function of the ${\mathrm{t} ^{\text {res}}}$ candidate ${p_{\mathrm {T}}}$ for the loose working point, using the 2017 data.

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Figure 4-a:
Misidentification rate in data and simulation, as a function of the ${\mathrm{t} ^{\text {res}}}$ candidate ${p_{\mathrm {T}}}$ for the loose working point, using the 2017 data.

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Figure 4-b:
${\mathrm{t} ^{\text {res}}}$-tagging efficiency in data and simulation, as a function of the ${\mathrm{t} ^{\text {res}}}$ candidate ${p_{\mathrm {T}}}$ for the loose working point, using the 2017 data.

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Figure 5:
Three of the BDTG input variables used for the $\mu{\tau_\mathrm{h}}$ final state, assuming a signal with mass ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and 2018 data-taking conditions: the azimuthal angle between the $\mu$ and ${\vec{p}_{\mathrm {T}}^{\,\text {miss}}}$ objects (top left), the ratio of the ${p_{\mathrm {T}}}$ of the third leading jet and the ${H_{\mathrm {T}}}$ (top right), and the transverse mass reconstructed from the $\mu$, ${\tau _\mathrm {h}}$, $j_{1}$, $j_{2}$, and ${\vec{p}_{\mathrm {T}}^{\,\text {miss}}}$ objects (bottom). Both signal and background distributions are normalized to unit area.

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Figure 5-a:
The azimuthal angle between the $\mu$ and ${\vec{p}_{\mathrm {T}}^{\,\text {miss}}}$ objects, which is one of the BDTG input variables used for the $\mu{\tau_\mathrm{h}}$ final state, assuming a signal with mass ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and 2018 data-taking conditions. Both signal and background distributions are normalized to unit area.

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Figure 5-b:
The ratio of the ${p_{\mathrm {T}}}$ of the third leading jet and the ${H_{\mathrm {T}}}$, which is one of the BDTG input variables used for the $\mu{\tau_\mathrm{h}}$ final state, assuming a signal with mass ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and 2018 data-taking conditions. Both signal and background distributions are normalized to unit area.

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Figure 5-c:
The transverse mass reconstructed from the $\mu$, ${\tau _\mathrm {h}}$, $j_{1}$, $j_{2}$, and ${\vec{p}_{\mathrm {T}}^{\,\text {miss}}}$ objects, which is one of the BDTG input variables used for the $\mu{\tau_\mathrm{h}}$ final state, assuming a signal with mass ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and 2018 data-taking conditions. Both signal and background distributions are normalized to unit area.

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Figure 6:
The MVA output of the BDTG for the e${\tau_\mathrm{h}}$ (left) and $\mu{\tau_\mathrm{h}}$ (right) final states used in the limit extraction, after a background-only fit to the data. The data sets of all categories have been added. The pre-fit contribution from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV and $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb is also shown.

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Figure 6-a:
The MVA output of the BDTG for the e${\tau_\mathrm{h}}$ final state used in the limit extraction, after a background-only fit to the data. The data sets of all categories have been added. The pre-fit contribution from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV and $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb is also shown.

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Figure 6-b:
The MVA output of the BDTG for the $\mu{\tau_\mathrm{h}}$ final state used in the limit extraction, after a background-only fit to the data. The data sets of all categories have been added. The pre-fit contribution from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV and $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb is also shown.

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Figure 7:
The ${m_{\mathrm {T}}}$ distributions for the e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$ (left) and $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$ (right) final states used in the limit extraction, after a background-only fit to the data. The data sets of all categories have been added. The pre-fit contribution from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV and $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb is also shown. The brackets $ \langle \cdot \rangle $ signify that the plotted variable is averaged over an interval in which the event frequency may have changed considerably.

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Figure 7-a:
The ${m_{\mathrm {T}}}$ distributions for the e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$ final state used in the limit extraction, after a background-only fit to the data. The data sets of all categories have been added. The pre-fit contribution from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV and $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb is also shown. The brackets $ \langle \cdot \rangle $ signify that the plotted variable is averaged over an interval in which the event frequency may have changed considerably.

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Figure 7-b:
The ${m_{\mathrm {T}}}$ distributions for the $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$ final state used in the limit extraction, after a background-only fit to the data. The data sets of all categories have been added. The pre-fit contribution from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV and $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb is also shown. The brackets $ \langle \cdot \rangle $ signify that the plotted variable is averaged over an interval in which the event frequency may have changed considerably.

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Figure 8:
Observed event yields (black markers) for the 18 categories considered in this analysis, grouped into data sets that are represented by vertical dashed lines. The expected event yields (stacked histograms) resulting from a background-only fit to the data are also shown, broken down into various background processes. The solid red line represents the expected signal yields from ${{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}$ with masses ${m_{{\mathrm{\tilde{H}^{\pm}}}}} =$ 500 GeV and $ {m_{\mathrm{H}}} = $ 200 GeV, assuming $ {\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}} = $ 1 pb.

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Figure 9:
Expected and observed upper limits at 95% CL on the product of cross section and branching fraction ${\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}}$ as a function of ${m_{{\mathrm{\tilde{H}^{\pm}}}}}$ and assuming $ {m_{\mathrm{H}}} = $ 200 GeV for the combination of all final states considered (left). The observed upper limits are represented by a solid black line and circle markers. The median expected limit (dashed line), 68% (inner green band), and 95% (outer yellow band) confidence intervals are also shown. The relative expected contributions of each final state to the overall combination are also presented (right). The black solid line corresponds to the combined expected limit, while the red dash-dotted, green dashed, blue dashed-dotted, and orange dashed lines represent the relative contributions from the e${\tau_\mathrm{h}}$, $\mu{\tau_\mathrm{h}}$, e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$, and $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$ channels, respectively.

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Figure 9-a:
Expected and observed upper limits at 95% CL on the product of cross section and branching fraction ${\sigma _{{\mathrm{\tilde{H}^{\pm}}}} {\mathcal {B}({{\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}}, {\mathrm{H} \to \tau \tau})}}$ as a function of ${m_{{\mathrm{\tilde{H}^{\pm}}}}}$ and assuming $ {m_{\mathrm{H}}} = $ 200 GeV for the combination of all final states considered. The observed upper limits are represented by a solid black line and circle markers. The median expected limit (dashed line), 68% (inner green band), and 95% (outer yellow band) confidence intervals are also shown.

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Figure 9-b:
The relative expected contributions of each final state to the overall combination are also presented. The black solid line corresponds to the combined expected limit, while the red dash-dotted, green dashed, blue dashed-dotted, and orange dashed lines represent the relative contributions from the e${\tau_\mathrm{h}}$, $\mu{\tau_\mathrm{h}}$, e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$, and $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$ channels, respectively.
Tables

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Table 1:
Offline selections applied to the reconstructed objects to obtain the SRs of the ${\ell {\tau _\mathrm {h}}}$ and ${\ell {\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. The ${p_{\mathrm {T}}}$, ${{p_{\mathrm {T}}} ^\text {miss}}$, and ${S_{\mathrm {T}}}$ variables are reported in units of GeV, and ${Q_{}}$ in units of $e$. Selection criteria that depend on the year of data taking are presented in parentheses with the order corresponding to (2016, 2017, 2018). The symbol $\star $ is used to represent an electron (muon) for the e${\tau_\mathrm{h}}$ ( $\mu{\tau_\mathrm{h}}$) final states, and a ${\tau _\mathrm {h}}$ object in the e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$ and $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$ final states.

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Table 2:
Offline selections applied to the reconstructed objects to obtain the CRs and VRs for the misidentified ${\tau _\mathrm {h}}$ candidate background estimation in the ${\ell {\tau _\mathrm {h}}}$ and ${\ell {\tau _\mathrm {h}} {\tau _\mathrm {h}}}$ final states. Only differences with respect to the corresponding SRs are shown. The ${p_{\mathrm {T}}}$, ${{p_{\mathrm {T}}} ^\text {miss}}$, and ${S_{\mathrm {T}}}$ variables are reported in units of GeV, and ${Q_{}}$ in units of $e$. The symbol $\star $ is used to represent an electron (muon) for the e${\tau_\mathrm{h}}$ ( $\mu{\tau_\mathrm{h}}$) final states, and a ${\tau _\mathrm {h}}$ object in the e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$ and $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$ final states.

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Table 3:
The complete set of discriminating variables used in the training of the BDTG classifier employed in the search strategy of the ${\ell {\tau _\mathrm {h}}}$ final states.

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Table 4:
Summary of all sources of systematic uncertainties discussed in the text. The first column identifies the source of uncertainty and, where applicable, the process that it applies to. The second column indicates with a check mark or dash whether or not the nuisance parameter also affects the shape of the fit discriminant. The third column, which is subdivided into four event categories, presents the percentage impact of these nuisance parameters on the expected event yields, before simultaneous fitting the data for the background-only hypothesis. A range of such values represents the minimum and maximum values observed through the different samples and data eras, with apparent disparities also attributed to the limited sample size of minor backgrounds. The last two columns indicate whether or not the nuisance parameters are correlated across years and categories. A dagger designates that a nuisance parameter is only partially correlated across years or categories.
Summary
Results are presented from a search for a charged Higgs boson ${\mathrm{\tilde{H}^{\pm}}}$ decaying into a heavy neutral Higgs boson H and a W boson. Events are selected with exactly one isolated electron or muon, targeting event topologies whereby the H decays into a pair of tau leptons with at least one decaying hadronically (${\tau_\mathrm{h}}$). Four distinct final states are considered: e${\tau_\mathrm{h}}$, $\mu{\tau_\mathrm{h}}$, e${\tau_\mathrm{h}}{\tau_\mathrm{h}}$, and $\mu{\tau_\mathrm{h}}{\tau_\mathrm{h}}$. The analysis uses proton-proton collision data recorded by the CMS detector at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. No significant deviation is observed from standard model expectations. Upper limits at 95% confidence level are set on the product of the cross section and branching fraction for an ${\mathrm{\tilde{H}^{\pm}}}$ in the mass range of 300-700 GeV, assuming an H with a mass of 200 GeV. The observed limits range from 0.085 pb for an ${\mathrm{\tilde{H}^{\pm}}}$ mass of 300 GeV to 0.019 pb for a mass of 700 GeV. These are the first limits on ${\mathrm{\tilde{H}^{\pm}}}$ production in the ${\mathrm{\tilde{H}^{\pm}}} \to \mathrm{H} \mathrm{W^{\pm}}$ decay channel at the LHC.
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