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CMS-SUS-23-007 ; CERN-EP-2025-028
Search for the nonresonant production of a pair of additional Higgs bosons in the Type-X two-Higgs-doublet model in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Submitted to Physical Review Letters
Abstract: A search is presented for the production of two additional Higgs bosons from an off-shell Z boson, where both additional particles decay to $ \tau $ lepton pairs. The search is performed with a data sample collected with the CMS detector from proton-proton collisions at the LHC at $ \sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. No deviation from the standard model background is observed. Exclusion limits are set on the Type-X two-Higgs-doublet model alignment scenario. These results rule out this model as an explanation to the potential tension between the experimental and theoretical values of the muon anomalous magnetic moment.
Figures Summary References CMS Publications
Figures

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Figure 1:
Feynman diagram for the production of two BSM neutral Higgs bosons from an off-shell Z boson and their decay to $ \tau $ leptons.

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Figure 2:
Distributions of the discriminating variable $ m_{\mathrm{T}}^{\text{tot}} $ after a background-only fit to the data. The $ \tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $ channel (left) and the $ \mathrm{e}\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $, $ \mu\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $, and $ \tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $ channels, as well $ \mathrm{e}\mathrm{e}\tau_\mathrm{h}\tau_\mathrm{h} $ SS, $ \mu\mu\tau_\mathrm{h}\tau_\mathrm{h} $ SS, $ \mathrm{e}\mu\tau_\mathrm{h}\tau_\mathrm{h} $ SS, and $ \mathrm{e}\mu\tau_\mathrm{h}\tau_\mathrm{h} $ OS leptons categories are shown (right). The background uncertainty represents the combined statistical and systematic uncertainties. An example signal with mass hypotheses $ m_{\phi} = $ 200 GeV and $ m_{A } = $ 160 GeV, with the cross section scaled to 0.01 pb, is shown as a blue line.

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Figure 2-a:
Distributions of the discriminating variable $ m_{\mathrm{T}}^{\text{tot}} $ after a background-only fit to the data. The $ \tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $ channel (left) and the $ \mathrm{e}\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $, $ \mu\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $, and $ \tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $ channels, as well $ \mathrm{e}\mathrm{e}\tau_\mathrm{h}\tau_\mathrm{h} $ SS, $ \mu\mu\tau_\mathrm{h}\tau_\mathrm{h} $ SS, $ \mathrm{e}\mu\tau_\mathrm{h}\tau_\mathrm{h} $ SS, and $ \mathrm{e}\mu\tau_\mathrm{h}\tau_\mathrm{h} $ OS leptons categories are shown (right). The background uncertainty represents the combined statistical and systematic uncertainties. An example signal with mass hypotheses $ m_{\phi} = $ 200 GeV and $ m_{A } = $ 160 GeV, with the cross section scaled to 0.01 pb, is shown as a blue line.

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Figure 2-b:
Distributions of the discriminating variable $ m_{\mathrm{T}}^{\text{tot}} $ after a background-only fit to the data. The $ \tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $ channel (left) and the $ \mathrm{e}\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $, $ \mu\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $, and $ \tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h}\tau_\mathrm{h} $ channels, as well $ \mathrm{e}\mathrm{e}\tau_\mathrm{h}\tau_\mathrm{h} $ SS, $ \mu\mu\tau_\mathrm{h}\tau_\mathrm{h} $ SS, $ \mathrm{e}\mu\tau_\mathrm{h}\tau_\mathrm{h} $ SS, and $ \mathrm{e}\mu\tau_\mathrm{h}\tau_\mathrm{h} $ OS leptons categories are shown (right). The background uncertainty represents the combined statistical and systematic uncertainties. An example signal with mass hypotheses $ m_{\phi} = $ 200 GeV and $ m_{A } = $ 160 GeV, with the cross section scaled to 0.01 pb, is shown as a blue line.

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Figure 3:
Observed 95% CL upper limits on the product of the cross section ($ \sigma $) for the production of two BSM Higgs bosons produced via an off-shell Z boson, and the branching fractions ($ B $) for their decay into $ \tau $ leptons. This is shown as a function of $ m_{A } $ and $ m_{\phi} $. No limits are set in the red hatched region.

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Figure 4:
Observed and expected 95% CL exclusion contours on the Type-X 2HDM alignment scenario for $ m_{\phi}= $ 200 GeV. This is shown as a function of $ m_{A } $ and $ \tan\beta $. The $ y $-axis scales logarithmically below 100 and linearly above 100. The dashed line represents the expected median, the dark and bright grey bands correspond to the central 68 and 95% expected intervals, and the blue area highlights the parameter space that has been excluded. Constraints from previous searches, obtained by HIGGSTOOLS-1 [66], are shown in red. The allowed region in the normal alignment scenario accommodating the current measurement of the muon anomalous magnetic moment, as detailed in Ref. [9], is shown in green.

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Figure 5:
Observed 95% CL exclusions of the Type-X 2HDM alignment scenario in the $ m_{A }-m_{\phi} $ plane are shown as black solid contours, with the $ \tan\beta $ exclusion of each bounded region written on the plot. The complete exclusion of this model, from the union of the observed limits and those obtained by HIGGSTOOLS-1 [66], is enclosed by the red dot-dashed contour. The allowed regions accommodating the current measurement of the muon anomalous magnetic moment, as detailed in Ref. [9], are shown as green dashed boxes, with the $ \tan\beta $ allowed range written on the plot. Hatched regions indicate parameter space for which no exclusion limit is set.
Summary
In summary, a search has been presented for beyond-the-standard-model Higgs bosons produced via off-shell Z bosons that decay into $\tau$ leptons in pp collisions at the LHC, using a data sample collected with the CMS detector at $\sqrt{s} = 13$ TeV.A good agreement between the background-only fit and the data is observed. Upper limits on the production cross sections times the branching fractions range from 0.4 fb at $m_A = 600$ GeV and $m_{\phi} = 800$ GeV to 190 fb at $m_A = 40$ GeV and $m_{\phi} = 60$ GeV. The data, combined with the constraints from previous searches, exclude a large portion of the Type-X two-Higgs-doublet model's phase space. This search rules out this model as an explanation for the muon anomalous magnetic moment, as described in Ref. [9].
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Compact Muon Solenoid
LHC, CERN