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| CMS-HIG-20-017 ; CERN-EP-2021-045 | ||
| Search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector boson pairs in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 10 April 2021 | ||
| Eur. Phys. J. C 81 (2021) 723 | ||
| Abstract: A search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector bosons, using proton-proton collisions at $\sqrt{s} = $ 13 TeV at the LHC, is reported. The data sample corresponds to an integrated luminosity of 137 fb$^{-1}$ collected with the CMS detector. Events are selected by requiring two or three electrons or muons, moderate missing transverse momentum, and two jets with a large rapidity separation and a large dijet mass. No excess of events with respect to the standard model background predictions is observed. Model independent upper limits at 95% confidence level are reported on the product of the cross section and branching fraction for vector boson fusion production of charged Higgs bosons as a function of mass, from 200 to 3000 GeV. The results are interpreted in the context of the Georgi-Machacek model. | ||
| Links: e-print arXiv:2104.04762 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Examples of Feynman diagrams showing the production of singly (left) and doubly (right) charged Higgs bosons via VBF. |
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Figure 1-a:
Example of Feynman diagram showing the production of a singly charged Higgs boson via VBF. |
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Figure 1-b:
Example of Feynman diagram showing the production of a doubly charged Higgs boson via VBF. |
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Figure 2:
Representative Feynman diagrams of a VBS process contributing to the EW-induced production of events containing $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ (left) and WZ (right) boson pairs decaying to leptons, and two forward jets. |
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Figure 2-a:
Representative Feynman diagram of a VBS process contributing to the EW-induced production of events containing a $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ boson pair decaying to leptons, and two forward jets. |
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Figure 2-b:
Representative Feynman diagram of a VBS process contributing to the EW-induced production of events containing a WZ boson pair decaying to leptons, and two forward jets. |
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Figure 3:
Representative Feynman diagrams of the QCD-induced production of $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ (left) and WZ (right) boson pairs decaying to leptons, and two jets. |
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Figure 3-a:
Representative Feynman diagram of the QCD-induced production of a WZ boson pair decaying to leptons, and two jets. |
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Figure 3-b:
Representative Feynman diagrams of the QCD-induced production of $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ (left) and WZ (right) boson pairs decaying to leptons, and two jets. |
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Figure 4:
The $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ distributions after requiring the same selection as for the WW (left) and WZ (right) SRs, but with a requirement of 200 $ < {m_{{\mathrm {j}} {\mathrm {j}}}} < $ 500 GeV. The predicted yields are shown with their best fit normalizations from the simultaneous fit (described in Section 7) for the background-only hypothesis i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panels show the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray bands represent the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 4-a:
The $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ distributions after requiring the same selection as for the WW SR, but with a requirement of 200 $ < {m_{{\mathrm {j}} {\mathrm {j}}}} < $ 500 GeV. The predicted yields are shown with their best fit normalizations from the simultaneous fit (described in Section 7) for the background-only hypothesis i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panel shows the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray band represents the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 4-b:
The $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ distributions after requiring the same selection as for the WZ SR, but with a requirement of 200 $ < {m_{{\mathrm {j}} {\mathrm {j}}}} < $ 500 GeV. The predicted yields are shown with their best fit normalizations from the simultaneous fit (described in Section 7) for the background-only hypothesis i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panel shows the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray band represents the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 5:
The $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ (upper left) and $ {m_{\mathrm {T}}} ^{\mathrm{W} \mathrm{W}}$ (upper right) distributions in the WW SR, and the $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ (lower left) and $ {m_{\mathrm {T}}} ^{\mathrm{W} \mathrm{Z}}$ (lower right) distributions in the WZ SR for signal, backgrounds, and data. The predicted yields are shown with their best fit normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panels show the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray bands represent the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 5-a:
The $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ distribution in the WW SR for signal, backgrounds, and data. The predicted yields are shown with their best fit normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panel shows the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray band represents the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 5-b:
The $ {m_{\mathrm {T}}} ^{\mathrm{W} \mathrm{W}}$ distribution in the WW SR for signal, backgrounds, and data. The predicted yields are shown with their best fit normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panel shows the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray band represents the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 5-c:
The $ {m_{{\mathrm {j}} {\mathrm {j}}}} $ distribution in the WZ SR for signal, backgrounds, and data. The predicted yields are shown with their best fit normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panel shows the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray band represents the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 5-d:
The $ {m_{\mathrm {T}}} ^{\mathrm{W} \mathrm{Z}}$ distribution in the WZ SR for signal, backgrounds, and data. The predicted yields are shown with their best fit normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin. The lower panel shows the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray band represents the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 6:
Distributions for signal, backgrounds, and data for the bins used in the simultaneous fit. The bins 1-32 (4$\times $8) show the events in the WW SR ($ {m_{{\mathrm {j}} {\mathrm {j}}}} \times {m_{\mathrm {T}}} $), the bins 33-46 (2$\times $7) show the events in the WZ SR ($ {m_{{\mathrm {j}} {\mathrm {j}}}} \times {m_{\mathrm {T}}} $), the 4 bins 47-50 show the events in the nonprompt lepton CR ($ {m_{{\mathrm {j}} {\mathrm {j}}}} $), the 4 bins 51-54 show the events in the $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ CR ($ {m_{{\mathrm {j}} {\mathrm {j}}}} $), and the 4 bins 55-58 show the events in the $\mathrm{Z} \mathrm{Z} $ CR ($ {m_{{\mathrm {j}} {\mathrm {j}}}} $). The predicted yields are shown with their best fit normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. Vertical bars on data points represent the statistical uncertainty in the data. The histograms for $ {\mathrm{t} {\mathrm{V}} \mathrm {x}} $ backgrounds include the contributions from ${\mathrm{t} \mathrm{\bar{t}}} {\mathrm{V}} $ and $ {\mathrm{t} \mathrm{Z} \mathrm{q}} $ processes. The histograms for other backgrounds include the contributions from double parton scattering, VVV, and from oppositely charged dilepton final states from ${\mathrm{t} \mathrm{\bar{t}}} $, $\mathrm{t} \mathrm{W} $, $\mathrm{W} ^{+}\mathrm{W} ^{-}$, and Drell-Yan processes. The overflow is included in the last bin in each corresponding region. The lower panels show the ratio of the number of events observed in data to that of the total SM prediction. The hatched gray bands represent the uncertainties in the predicted yields. The solid lines show the signal predictions for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Figure 7:
The product of acceptance and selection efficiency within the fiducial region for the VBF $ {\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm} \to 2\ell 2\nu $ and ${\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}} \to 3\ell \nu $ processes, as a function of $m_{\mathrm{H} _{5}}$. The combination of the statistical and systematic uncertainties is shown. The theoretical uncertainties in the acceptance are also included. |
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Figure 8:
Expected and observed exclusion limits at 95% CL for $\sigma _\mathrm {VBF}({\mathrm{H} ^{\pm \pm}}) + \mathcal {B}({\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm})$ as functions of $m_{{\mathrm{H} ^{\pm \pm}}}$ (upper left), for $\sigma _\mathrm {VBF}({\mathrm{\tilde{H}^{\pm_j}}}) + \mathcal {B}({\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}})$ as functions of $m_{{\mathrm{\tilde{H}^{\pm_j}}}}$ (upper right), and for $s_{\mathrm{H}}$ as functions of $m_{\mathrm{H} _{5}}$ in the GM model (lower). The contribution of the ${\mathrm{\tilde{H}^{\pm_j}}} $ ($ {\mathrm{H} ^{\pm \pm}}$) boson signal is set to zero for the derivation of the exclusion limits on the $\sigma _\mathrm {VBF}({\mathrm{H} ^{\pm \pm}}) + \mathcal {B}({\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm})$ ($\sigma _\mathrm {VBF}({\mathrm{\tilde{H}^{\pm_j}}}) + \mathcal {B}({\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}})$). The exclusion limits for $s_{\mathrm{H}}$ are shown up to $m_{\mathrm{H} _{5}} = $ 2000 GeV, given the low sensitivity in the GM model for values above that mass. Values above the curves are excluded. |
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Figure 8-a:
Expected and observed exclusion limits at 95% CL for $\sigma _\mathrm {VBF}({\mathrm{H} ^{\pm \pm}}) + \mathcal {B}({\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm})$ as functions of $m_{{\mathrm{H} ^{\pm \pm}}}$. The contribution of the ${\mathrm{\tilde{H}^{\pm_j}}} $ ($ {\mathrm{H} ^{\pm \pm}}$) boson signal is set to zero for the derivation of the exclusion limits on the $\sigma _\mathrm {VBF}({\mathrm{H} ^{\pm \pm}}) + \mathcal {B}({\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm})$ ($\sigma _\mathrm {VBF}({\mathrm{\tilde{H}^{\pm_j}}}) + \mathcal {B}({\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}})$). The exclusion limits for $s_{\mathrm{H}}$ are shown up to $m_{\mathrm{H} _{5}} = $ 2000 GeV, given the low sensitivity in the GM model for values above that mass. Values above the curves are excluded. |
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Figure 8-b:
Expected and observed exclusion limits at 95% CL for $\sigma _\mathrm {VBF}({\mathrm{\tilde{H}^{\pm_j}}}) + \mathcal {B}({\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}})$ as functions of $m_{{\mathrm{\tilde{H}^{\pm_j}}}}$. The contribution of the ${\mathrm{\tilde{H}^{\pm_j}}} $ ($ {\mathrm{H} ^{\pm \pm}}$) boson signal is set to zero for the derivation of the exclusion limits on the $\sigma _\mathrm {VBF}({\mathrm{H} ^{\pm \pm}}) + \mathcal {B}({\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm})$ ($\sigma _\mathrm {VBF}({\mathrm{\tilde{H}^{\pm_j}}}) + \mathcal {B}({\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}})$). The exclusion limits for $s_{\mathrm{H}}$ are shown up to $m_{\mathrm{H} _{5}} = $ 2000 GeV, given the low sensitivity in the GM model for values above that mass. Values above the curves are excluded. |
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Figure 8-c:
Expected and observed exclusion limits at 95% CL for $s_{\mathrm{H}}$ as functions of $m_{\mathrm{H} _{5}}$ in the GM model. The contribution of the ${\mathrm{\tilde{H}^{\pm_j}}} $ ($ {\mathrm{H} ^{\pm \pm}}$) boson signal is set to zero for the derivation of the exclusion limits on the $\sigma _\mathrm {VBF}({\mathrm{H} ^{\pm \pm}}) + \mathcal {B}({\mathrm{H} ^{\pm \pm}}\to {\mathrm{W} ^\pm \mathrm{W} ^\pm})$ ($\sigma _\mathrm {VBF}({\mathrm{\tilde{H}^{\pm_j}}}) + \mathcal {B}({\mathrm{\tilde{H}^{\pm_j}}} \to {\mathrm{W} \mathrm{Z}})$). The exclusion limits for $s_{\mathrm{H}}$ are shown up to $m_{\mathrm{H} _{5}} = $ 2000 GeV, given the low sensitivity in the GM model for values above that mass. Values above the curves are excluded. |
| Tables | |
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Table 1:
Summary of the selection requirements defining the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ and WZ SRs. The looser lepton $ {p_{\mathrm {T}}} $ requirement in the WZ selection refers to the trailing lepton from the $\mathrm{Z} $ boson decays. The $ {| {\mathrm {m}_{\ell \ell}} - m_{\mathrm{Z}} |}$ requirement is applied only to the dielectron final state in the $ {\mathrm{W} ^\pm \mathrm{W} ^\pm} $ SR. |
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Table 2:
Summary of the impact of the systematic uncertainties on the extracted signal strength; for the case of a background-only simulated data set, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes, and including a charged Higgs boson signal for values of $s_{\mathrm{H}}=$ 1.0 and $m_{\mathrm{H} _{5}} = $ 500 GeV in the GM model. |
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Table 3:
Expected signal and background yields from various SM processes and observed data events in all regions used in the analysis. The expected background yields are shown with their normalizations from the simultaneous fit for the background-only hypothesis, i.e., assuming no contributions from the ${\mathrm{\tilde{H}^{\pm_j}}} $ and $ {\mathrm{H} ^{\pm \pm}}$ processes. The expected signal yields are shown for $s_{\mathrm{H}}=$ 1.0 in the GM model. The combination of the statistical and systematic uncertainties is shown. |
| Summary |
| A search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector bosons, using proton-proton collisions at $\sqrt{s} = $ 13 TeV at the LHC, is reported. The data sample corresponds to an integrated luminosity of 137 fb$^{-1}$, collected with the CMS detector between 2016 and 2018. The search is performed in the leptonic decay modes ${\mathrm{W}^\pm\mathrm{W}^\pm} \to \ell^\pm\nu\ell'^\pm\nu$ and $\mathrm{W}^\pm\mathrm{Z} \to \ell^\pm\nu\ell'^\pm\ell'^\mp$, where $\ell, \ell' = $ e, $\mu$. The ${\mathrm{W}^\pm\mathrm{W}^\pm} $ and ${\mathrm{W}\mathrm{Z}} $ channels are simultaneously studied by performing a binned maximum-likelihood fit using the transverse mass $m_{\mathrm{T}}$ and dijet invariant mass ${m_{{\mathrm{j}}{\mathrm{j}}}} $ distributions. No excess of events with respect to the standard model background predictions is observed. Model independent upper limits at 95% confidence level are reported on the product of the cross section and branching fraction for vector boson fusion production of charged Higgs bosons decaying into vector bosons as a function of mass from 200 to 3000 GeV. The results are interpreted in the Georgi-Machacek (GM) model for which the most stringent limits to date are derived. The observed 95% confidence level limits exclude GM $s_{\mathrm{H}}$ parameter values greater than 0.20-0.35 for the mass range from 200 to 1500 GeV. |
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