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CMS-PAS-HIG-18-014
Search for charged Higgs bosons with the $ \mathrm{H}^{\pm} \to \tau^{\pm}\nu_\tau$ decay channel in proton-proton collisions at $\sqrt{s}= $ 13 TeV
Abstract: A search for charged Higgs bosons is presented in the $ \mathrm{H}^{\pm} \to \tau^{\pm}\nu_\tau$ decay mode in hadronic and leptonic final states. The search is based on 35.9 fb$^{-1}$ of pp collision data recorded by the CMS experiment in 2016 at a center-of-mass energy of 13 TeV. The results agree with the expectation from the standard model. Upper limits at the 95% confidence level are set on the production cross section times branching fraction to $\tau^{\pm}\nu_\tau$ for a charged Higgs boson in the mass range from 80 to 3000 GeV, including the mass region near the top quark mass. The observed limit ranges from 6.0 pb at 80 GeV to 0.005 pb at 3 TeV. The limit is interpreted in the context of the MSSM $m_\mathrm{h}^\mathrm{mod+}$ scenario.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Leading-order diagrams describing charged Higgs boson production. Double-resonant top quark production (left) is the dominant process for light ${\mathrm {H}^{\pm}}$, while the single-resonant top quark production (middle) dominates for heavy ${\mathrm {H}^{\pm}}$ masses. For the intermediate region (${{m_{{\mathrm {H}} ^\pm}} \sim {m_{{\mathrm {t}}}}}$), both production modes and their interplay with the nonresonant top quark production (right) must be taken into account. Charge-conjugated processes are implied.

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Figure 1-a:
Leading-order diagram describing charged Higgs boson production. Double-resonant top quark production is the dominant process for light ${\mathrm {H}^{\pm}}$. Charge-conjugated processes are implied.

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Figure 1-b:
Leading-order diagram describing charged Higgs boson production. Single-resonant top quark production dominates for heavy ${\mathrm {H}^{\pm}}$ masses. Charge-conjugated processes are implied.

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Figure 1-c:
Leading-order diagram describing charged Higgs boson production. For the intermediate region (${{m_{{\mathrm {H}} ^\pm}} \sim {m_{{\mathrm {t}}}}}$), the nonresonant top quark production must be taken into account. Charge-conjugated processes are implied.

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Figure 2:
The distribution of the angular discriminant $ {R_{\text {bb}}^\text {min}} $ after all other selections, including $R_ {\tau} > $ 0.75 requirement, have been applied (left) and the distribution of the $ {R_ {\tau}} $ variable used for categorization after all other selections, including $ {R_{\text {bb}}^\text {min}} > 40^{\circ}$ requirement, have been applied (right).

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Figure 2-a:
The distribution of the angular discriminant $ {R_{\text {bb}}^\text {min}} $ after all other selections, including $R_ {\tau} > $ 0.75 requirement, have been applied.

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Figure 2-b:
The distribution of the $ {R_ {\tau}} $ variable used for categorization after all other selections, including $ {R_{\text {bb}}^\text {min}} > 40^{\circ}$ requirement, have been applied.

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Figure 3:
The transverse mass distributions in the fully hadronic final state after a background-only fit to the data, for the categories defined by $R_ {\tau} < $ 0.75 (left) and $R_ {\tau} > $ 0.75 (right).

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Figure 3-a:
The transverse mass distribution in the fully hadronic final state after a background-only fit to the data, for the category defined by $R_ {\tau} < $ 0.75.

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Figure 3-b:
The transverse mass distribution in the fully hadronic final state after a background-only fit to the data, for the category defined by $R_ {\tau} > $ 0.75.

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Figure 4:
The transverse mass distributions for two ${\ell} $+$ {{{\tau} _\mathrm {h}}}$ categories with high signal sensitivity after a background-only fit to the data. Left: category with one electron, one ${{\tau} _\mathrm {h}}$, one jet identified as a b jet and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV. Right: category with one muon, one ${{\tau} _\mathrm {h}}$, one jet identified as a b jet and 100 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 150 GeV.

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Figure 4-a:
The transverse mass distribution for the ${\ell} $+$ {{{\tau} _\mathrm {h}}}$ category with one electron, one ${{\tau} _\mathrm {h}}$, one jet identified as a b jet and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV.

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Figure 4-b:
The transverse mass distribution for the ${\ell} $+$ {{{\tau} _\mathrm {h}}}$ category with one muon, one ${{\tau} _\mathrm {h}}$, one jet identified as a b jet and 100 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 150 GeV.

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Figure 5:
The transverse mass distributions for ${\ell} $+no-${{{\tau} _\mathrm {h}}}$ categories with high signal sensitivity after a background-only fit to the data. Left: category with one electron, no identified ${{\tau} _\mathrm {h}}$, two jets (one of them identified as a b jet) and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV. Right: category with one muon, no identified ${{\tau} _\mathrm {h}}$, two jets (one of them identified as a b jet) and $ {{p_{\mathrm {T}}} ^\text {miss}} < $ 150 GeV.

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Figure 5-a:
The transverse mass distribution for ${\ell} $+no-${{{\tau} _\mathrm {h}}}$ category with one electron, no identified ${{\tau} _\mathrm {h}}$, two jets (one of them identified as a b jet) and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV.

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Figure 5-b:
The transverse mass distribution for ${\ell} $+no-${{{\tau} _\mathrm {h}}}$ category with one muon, no identified ${{\tau} _\mathrm {h}}$, two jets (one of them identified as a b jet) and $ {{p_{\mathrm {T}}} ^\text {miss}} < $ 150 GeV.

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Figure 6:
The observed 95% CL exclusion limits on ${{\sigma _{{\mathrm {H}} ^\pm}} {\mathcal {B}({{\mathrm {H}} ^{\pm}\to {\tau}^{\pm} {\nu _{\tau}}})}}$ (solid black points), compared to the expected limit assuming only standard model processes (dashed line) for the ${\mathrm {H}^{\pm}}$ mass range from 80 to 3000 GeV (left), and the same limit interpreted in ${m_\mathrm {h}^\text {mod+}}$ benchmark scenario (right). The green (yellow) error bands represent one (two) standard deviations from the expected limit. On the left, the horizontal axis is linear from 80 to 180 GeV and logarithmic for larger ${m_{{\mathrm {H}} ^\pm}}$ values. On the right, 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 6-a:
The observed 95% CL exclusion limits on ${{\sigma _{{\mathrm {H}} ^\pm}} {\mathcal {B}({{\mathrm {H}} ^{\pm}\to {\tau}^{\pm} {\nu _{\tau}}})}}$ (solid black points), compared to the expected limit assuming only standard model processes (dashed line) for the ${\mathrm {H}^{\pm}}$ mass range from 80 to 3000 GeV.The green (yellow) error bands represent one (two) standard deviations from the expected limit. The horizontal axis is linear from 80 to 180 GeV and logarithmic for larger ${m_{{\mathrm {H}} ^\pm}}$ values.

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Figure 6-b:
The observed 95% CL exclusion limits on ${{\sigma _{{\mathrm {H}} ^\pm}} {\mathcal {B}({{\mathrm {H}} ^{\pm}\to {\tau}^{\pm} {\nu _{\tau}}})}}$ (solid black points), compared to the expected limit interpreted in the ${m_\mathrm {h}^\text {mod+}}$ benchmark scenario. 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.
Tables

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Table 1:
Effect of systematic uncertainties on the final event yields in %, prior to the fit, summed over all final states and categories.

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Table 2:
Number of expected and observed events for the three final states after all selections, summed over all categories in each final state. For background processes, the event yields after background-only fit and the corresponding uncertainties are shown. For the ${\mathrm {H}^{\pm}}$ mass hypotheses of 100, 200 and 2000 GeV, the signal yields are normalized to the ${\mathrm {H}^{\pm}}$ production cross section of 1 pb and the total systematic uncertainties (prior to the fit) are shown.

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Table 3:
The expected and observed 95% CL exclusion limits on ${{\sigma _{{\mathrm {H}} ^\pm}} {\mathcal {B}({{\mathrm {H}} ^{\pm}\to {\tau}^{\pm} {\nu _{\tau}}})}}$ for the ${\mathrm {H}^{\pm}}$ mass range from 80 to 3000 GeV. The $ \pm $1 s.d. ($ \pm $2 s.d.) refers to one (two) standard deviations from the expected limit.
Summary
A search for charged Higgs bosons decaying as $ \mathrm{H}^{\pm} \to \tau^{\pm}\nu_\tau$ has been presented, using events recorded by the CMS experiment in 2016 at a center-of-mass energy of 13 TeV. Transverse mass distributions are reconstructed in hadronic and leptonic final states, and are found to agree with the standard model expectation. Upper limits for the ${\mathrm {H}^{\pm}}$ production cross section times the branching fraction are set at 95% confidence level for a ${\mathrm {H}^{\pm}}$ mass ranging from 80 GeV to 3 TeV, including the mass range close to the top quark mass. The observed limit ranges from 6.0 pb at 80 GeV to 0.005 pb at 3 TeV. The results are interpreted as constraints in the parameter space of the MSSM ${m_\mathrm{h}^\text{mod+}} $ benchmark scenario. In this scenario, all $ \tan \beta $ values are excluded for charged Higgs boson masses up to 150 GeV.
Additional Figures

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Additional Figure 1:
Observed 95% CL exclusion limits on ${\sigma _{{\mathrm {H}^{\pm}}} \mathcal {B}({\mathrm {H}^{\pm}} \to {\tau}^{\pm} {\nu _{\tau}})}$ (solid black points), compared to the expected limit assuming only standard model processes (dashed line) for the ${\mathrm {H}^{\pm}}$ mass range from 80 to 3000 GeV in the hadronic final state. The green (yellow) error bands represent one (two) standard deviations from the expected limit. The horizontal axis is linear from 80 to 180 GeV and logarithmic for larger $m_{{\mathrm {H}^{\pm}}}$ values.

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Additional Figure 2:
Observed 95% CL exclusion limits on ${\sigma _{{\mathrm {H}^{\pm}}} \mathcal {B}({\mathrm {H}^{\pm}} \to {\tau}^{\pm} {\nu _{\tau}})}$ (solid black points), compared to the expected limit assuming only standard model processes (dashed line) for the ${\mathrm {H}^{\pm}}$ mass range from 80 to 3000 GeV in the leptonic final states. The green (yellow) error bands represent one (two) standard deviations from the expected limit. The horizontal axis is linear from 80 to 180 GeV and logarithmic for larger $m_{{\mathrm {H}^{\pm}}}$ values.

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Additional Figure 3:
Median expected 95% CL exclusion limits on ${\sigma _{{\mathrm {H}^{\pm}}} \mathcal {B}({\mathrm {H}^{\pm}} \to {\tau}^{\pm} {\nu _{\tau}})}$ in the hadronic final state (blue), in the leptonic final states (red) and for all final states combined (black). The horizontal axis is linear from 80 to 180 GeV and logarithmic for larger $m_{{\mathrm {H}^{\pm}}}$ values.

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Additional Figure 4:
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 5:
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 6:
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 ${m_\mathrm {h}^\text {mod-}}$ 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 7:
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 $ {\tau}$-phobic 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 above 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 8:
Background event yields in the ${\ell}$+${{{\tau} _\mathrm {h}}}$ final state, shown in the categories defined by jet multiplicity, the number of jets passing the b jet identification, and the value of ${{p_{\mathrm {T}}} ^\text {miss}}$, after a simultaneous background-only fit to data using the transverse mass distributions of all categories. For illustration, the expected signal for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 200 GeV is shown, normalized to a cross section times branching fraction of 100 pb.

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Additional Figure 9:
Background event yields in the ${\ell}$+no-${{{\tau} _\mathrm {h}}}$ final state, shown in the categories defined by jet multiplicity, the number of jets passing the b jet identification, and the value of ${{p_{\mathrm {T}}} ^\text {miss}}$, after a simultaneous background-only fit to data using the transverse mass distributions of all categories. For illustration, the expected signal for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 200 GeV is shown, normalized to a cross section times branching fraction of 100 pb.

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Additional Figure 10:
Generator level jet multiplicity distributions for next-to-leading order (NLO, blue curve) and leading order (LO, red curve) simulated samples for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 150 GeV decaying to $ {\tau}^{\pm} {\nu _{\tau}}$ (inclusive in ${\tau}$ decay modes). The ${\mathrm {H}^{\pm}}$ production in association with a top quark is assumed and the four-flavor scheme is used in the simulation.

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Additional Figure 11:
Generator level jet multiplicity distributions for next-to-leading order (NLO, blue curve) and leading order (LO, red curve) simulated samples for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 180 GeV decaying to $ {\tau}^{\pm} {\nu _{\tau}}$ (inclusive in ${\tau}$ decay modes). The ${\mathrm {H}^{\pm}}$ production in association with a top quark is assumed and the four-flavor scheme is used in the simulation.

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Additional Figure 12:
Significance $S/\sqrt {B}$ in the categories defined by jet multiplicity and the number of jets passing the b jet identification, summed over ${\ell}$+${{{\tau} _\mathrm {h}}}$ and ${\ell}$+no-${{{\tau} _\mathrm {h}}}$ final states and over electron/muon and ${{p_{\mathrm {T}}} ^\text {miss}}$ categories. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 100 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.

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Additional Figure 13:
Significance $S/\sqrt {B}$ in the categories defined by jet multiplicity and the number of jets passing the b jet identification, summed over ${\ell}$+${{{\tau} _\mathrm {h}}}$ and ${\ell}$+no-${{{\tau} _\mathrm {h}}}$ final states and over electron/muon and ${{p_{\mathrm {T}}} ^\text {miss}}$ categories. $S$ 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.

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Additional Figure 14:
Significance $S/\sqrt {B}$ in the categories defined by jet multiplicity and the number of jets passing the b jet identification, summed over ${\ell}$+${{{\tau} _\mathrm {h}}}$ and ${\ell}$+no-${{{\tau} _\mathrm {h}}}$ final states and over electron/muon and ${{p_{\mathrm {T}}} ^\text {miss}}$ categories. $S$ represents the total signal yield for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 2000 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.

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Additional Figure 15:
Transverse mass distribution after a background-only fit for the $\mathrm{e} $+$ {{{\tau} _\mathrm {h}}}$ final state in a category with one jet that is identified as a b jet and 100 $ < {{p_{\mathrm {T}}} ^\text {miss}} < $ 150 GeV. For illustration, the expected signal for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 200 GeV is shown, normalized to a cross section times branching fraction of 50 pb.

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Additional Figure 16:
Transverse mass distribution after a background-only fit for the $\mu$+$ {{{\tau} _\mathrm {h}}}$ final state in a category with one jet that is identified as a b jet and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV. For illustration, the expected signal for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 200 GeV is shown, normalized to a cross section times branching fraction of 50 pb.

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Additional Figure 17:
Transverse mass distribution after a background-only fit for the $\mathrm{e} $+no-$ {{{\tau} _\mathrm {h}}}$ final state in a category with two jets, one of them identified as a b jet, and $ {{p_{\mathrm {T}}} ^\text {miss}} < $ 150 GeV. For illustration, the expected signal for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 200 GeV is shown, normalized to a cross section times branching fraction of 50 pb.

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Additional Figure 18:
Transverse mass distribution after a background-only fit for the $\mu $+no-$ {{{\tau} _\mathrm {h}}}$ final state in a category with two jets, one of them identified as a b jet, and $ {{p_{\mathrm {T}}} ^\text {miss}} > $ 150 GeV. For illustration, the expected signal for a charged Higgs boson with $m_{{\mathrm {H}^{\pm}}} = $ 200 GeV is shown, normalized to a cross section times branching fraction of 50 pb.
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Compact Muon Solenoid
LHC, CERN