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CMS-HIG-18-023 ; CERN-EP-2019-231
Search for a heavy pseudoscalar Higgs boson decaying into a 125 GeV Higgs boson and a Z boson in final states with two tau and two light leptons at $\sqrt{s} = $ 13 TeV
JHEP 03 (2020) 065
Abstract: A search is performed for a pseudoscalar Higgs boson, A, decaying into a 125 GeV Higgs boson h and a Z boson. The h boson is specifically targeted in its decay into a pair of tau leptons, while the Z boson decays into a pair of electrons or muons. A data sample of proton-proton collisions collected by the CMS experiment at the LHC at $\sqrt{s} = $ 13 TeV is used, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. No excess above the standard model background expectations is observed in data. A model-independent upper limit is set on the product of the gluon fusion production cross section for the A boson and the branching fraction to $\mathrm{Z}\mathrm{h}\to\ell\ell\tau\tau$. The observed upper limit at 95% confidence level ranges from 27 to 5 fb for A boson masses from 220 to 400 GeV, respectively. The results are used to constrain the extended Higgs sector parameters for two benchmark scenarios of the minimal supersymmetric standard model.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Feynman diagrams for two dominant production processes for the pseudoscalar A boson: gluon fusion (left) and associated production with b quarks (right). In both cases the A boson decays into a 125 GeV Higgs boson and a Z boson.

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Figure 1-a:
Feynman diagram for the gluon fusion production of the pseudoscalar A boson. The A boson decays into a 125 GeV Higgs boson and a Z boson.

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Figure 1-b:
Feynman diagram for the associated production with b quarks of the pseudoscalar A boson: gluon fusion (left) and associated production with b quarks (right). In both cases the A boson decays into a 125 GeV Higgs boson and a Z boson.

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Figure 2:
The distribution of the A boson mass for the three studied mass reconstruction methods at 300 GeV : using only the visible decay products ($ {m^\text {vis}_{\ell \ell \tau \tau}} $, orange), using the SVFIT algorithm ($ {m_{\ell \ell \tau \tau}} ^{\mathrm {fit}}$, green), and using the SVFIT algorithm with a mass constraint of 125 GeV for the Higgs boson ($ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$, blue). The eight final states of the A boson decay are combined for visualization purposes.

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Figure 3:
The reconstructed mass $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distributions and uncertainties after a background-only fit for the $\ell \ell +\mathrm{e} {\tau _\mathrm {h}} $ (upper left), $\ell \ell +\mu {\tau _\mathrm {h}} $ (upper right), $\ell \ell + {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ (lower left), and $\ell \ell +\mathrm{e} \mu $ (lower right) channels. In all cases the two decay channels of the Z boson are included as separate distributions in the simultaneous fit; combining them together is for visualization purposes only. The uncertainties include both statistical and systematic components. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is shown for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Figure 3-a:
The reconstructed mass $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distributions and uncertainties after a background-only fit for the $\ell \ell +\mathrm{e} {\tau _\mathrm {h}} $ channel. The two decay channels of the Z boson are included as separate distributions in the simultaneous fit; combining them together is for visualization purposes only. The uncertainties include both statistical and systematic components. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is shown for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Figure 3-b:
The reconstructed mass $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distributions and uncertainties after a background-only fit for the $\ell \ell +\mu {\tau _\mathrm {h}} $ channel. The two decay channels of the Z boson are included as separate distributions in the simultaneous fit; combining them together is for visualization purposes only. The uncertainties include both statistical and systematic components. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is shown for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Figure 3-c:
The reconstructed mass $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distributions and uncertainties after a background-only fit for the $\ell \ell + {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ channel. The two decay channels of the Z boson are included as separate distributions in the simultaneous fit; combining them together is for visualization purposes only. The uncertainties include both statistical and systematic components. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is shown for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Figure 3-d:
The reconstructed mass $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distributions and uncertainties after a background-only fit for the $\ell \ell +\mathrm{e} \mu $ channel. The two decay channels of the Z boson are included as separate distributions in the simultaneous fit; combining them together is for visualization purposes only. The uncertainties include both statistical and systematic components. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is shown for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Figure 4:
The reconstructed mass $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distribution and uncertainties after a background-only fit in all eight final states. The final states are included as separate distributions in the simultaneous fit; combining them together is for visualization purposes only. The uncertainties include both statistical and systematic components. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is shown for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Figure 5:
The expected and observed 95% CL model-independent upper limits on the product of the cross section and branching fraction $\sigma (\mathrm{g} \mathrm{g} \to \text {A})\mathcal {B}(\text {A} \to \mathrm{Z} \mathrm{h} \to \ell \ell \tau \tau)$ are shown. The green (yellow) band corresponds to the 68 (95)% confidence intervals for the expected limit.

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Figure 6:
The expected and observed 95% CL exclusion limits in the $ {m_\text {A}} $-$ {\tan\beta} $ plane are shown for two MSSM scenarios: $\mathrm {M^{125}_{\mathrm{h},EFT}}$ (left) and hMSSM (right). The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma (\mathrm{g} \mathrm{g} \to \text {A} +\mathrm{b} {}\mathrm{\bar{b}} \text {A})\mathcal {B}(\text {A} \to \mathrm{Z} \mathrm{h} \to \ell \ell \tau \tau)$ as predicted by each model at each grid point.

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Figure 6-a:
The expected and observed 95% CL exclusion limits in the $ {m_\text {A}} $-$ {\tan\beta} $ plane are shown for the $\mathrm {M^{125}_{\mathrm{h},EFT}}$ scenario. The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma (\mathrm{g} \mathrm{g} \to \text {A} +\mathrm{b} {}\mathrm{\bar{b}} \text {A})\mathcal {B}(\text {A} \to \mathrm{Z} \mathrm{h} \to \ell \ell \tau \tau)$ as predicted by each model at each grid point.

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Figure 6-b:
The expected and observed 95% CL exclusion limits in the $ {m_\text {A}} $-$ {\tan\beta} $ plane are shown for the hMSSM scenario. The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma (\mathrm{g} \mathrm{g} \to \text {A} +\mathrm{b} {}\mathrm{\bar{b}} \text {A})\mathcal {B}(\text {A} \to \mathrm{Z} \mathrm{h} \to \ell \ell \tau \tau)$ as predicted by each model at each grid point.
Tables

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Table 1:
Trigger and offline selection requirements for the different Z boson decay modes. The events are selected using either dilepton triggers with lower-$ {p_{\mathrm {T}}} $ thresholds or single-lepton triggers with higher-$ {p_{\mathrm {T}}} $ thresholds. The subscripts 1 and 2 indicate the higher- and lower-$ {p_{\mathrm {T}}} $ leptons associated with the Z boson, respectively.

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Table 2:
Kinematic selection requirements for each A boson decay channel, applied on top of the looser selections and b jet veto described in the text. The efficiency of the identification (and isolation) requirement for a given lepton type is labeled $\epsilon _{\mathrm {id.}}^{\ell}$. The leptons assigned to the Higgs boson are required to have opposite charge. To increase the sensitivity, we require $ {m_{\tau \tau}} ^{\mathrm {fit}}$ to be within 90-180 GeV. In the $\ell \ell + {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ channel, we additionally require $ {L_\text {{T}}^\text {{h}}} > $ 60 GeV, where $ {L_\text {{T}}^\text {{h}}} $ is the scalar ${p_{\mathrm {T}}}$ sum of the visible decay products of the Higgs boson.

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Table 3:
Sources of systematic uncertainty. The sign $\dagger $ marks the uncertainties that affect both the shape and normalization of the final $ {m_{\ell \ell \tau \tau}} ^{\mathrm {c}}$ distributions. Uncertainties that only affect the normalizations have no marker. For the shape and normalization uncertainties, the magnitude column lists an approximation of the associated change in the normalization of the affected processes.

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Table 4:
Background and signal expectations together with the numbers of observed events, for the signal region distributions after a background-only fit. The expected contribution from the $ \text {A} \to \mathrm{Z} \mathrm{h} $ signal process is given for a pseudoscalar Higgs boson with $ {m_\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb. The background uncertainty accounts for all sources of background uncertainty, systematic as well as statistical, after the simultaneous fit.
Summary
A search is presented for a pseudoscalar Higgs boson decaying into a 125 GeV Higgs boson, which further decays into tau leptons, and a Z boson that decays into a pair of electrons or muons. A data sample of proton-proton collisions collected at $\sqrt{s} = $ 13 TeV by the CMS experiment at the LHC is used, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The sensitivity of the study is increased by using the information on the Higgs boson mass [13] when reconstructing the mass of the pseudoscalar Higgs boson. The signal extraction is further optimized with kinematic selections based on the mass of the Higgs boson. The data agree with the background predictions from the standard model. The observed model-independent limits at 95% confidence level on the product $\sigma(\mathrm{g}\mathrm{g}\to\text{A} )\mathcal{B}(\text{A} \to\mathrm{Z}\mathrm{h}\to\ell\ell\tau\tau)$ range from 27 to 5 fb for A boson mass 220 to 400 GeV, respectively. The model-independent limits are interpreted in terms of $\sigma(\mathrm{g}\mathrm{g}\to\text{A} +\mathrm{b\bar{b}}\text{A} )\mathcal{B}(\text{A} \to\mathrm{Z}\mathrm{h}\to\ell\ell\tau\tau)$ for calculation of the model-dependent limits in two minimal supersymmetric standard model scenarios, $\mathrm{M^{125}_{\mathrm{h},EFT}}$ and hMSSM. In the $\mathrm{M^{125}_{\mathrm{h},EFT}}$ (hMSSM) scenario, the observed limits exclude $\tan\beta$ values below 1.8 (1.6) at ${m_\text{A}} = $ 220 GeV and 4.0 (3.7) at ${m_\text{A}} = $ 300 GeV at 95% confidence level.
Additional Figures

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Additional Figure 1:
The reconstructed mass $m_{\ell \ell {\tau} {\tau}}^{\mathrm {fit}}$ distribution and uncertainties before a background-only fit is performed simultaneously in all eight final states. All signal region selections except the requirement for the SM-like Higgs boson mass $m_{{\tau} {\tau}}^{\mathrm {fit}}$ to be within 90-180 GeV were applied. The eight final states are combined together only for visualization purposes. The uncertainties include both statistical and systematic components. The expected contribution from the $\mathrm {A}\to {\mathrm {Z}} {\mathrm {h}} $ signal process is shown for a pseudoscalar Higgs boson with $m_{\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Additional Figure 2:
The reconstructed mass $m_{\ell \ell {\tau} {\tau}}^{\mathrm {c}}$ distribution and uncertainties before a background-only fit is performed simultaneously in all eight final states. All signal region selections except the requirement for the SM-like Higgs boson mass $m_{{\tau} {\tau}}^{\mathrm {fit}}$ to be within 90-180 GeV were applied. The eight final states are combined together only for visualization purposes. The uncertainties include both statistical and systematic components. The expected contribution from the $\mathrm {A}\to {\mathrm {Z}} {\mathrm {h}} $ signal process is shown for a pseudoscalar Higgs boson with $m_{\text {A}} = $ 300 GeV with the product of the cross section and branching fraction of 20 fb and is for illustration only.

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Additional Figure 3:
The expected and observed 95% CL exclusion limits in the $m_{\text {A}}$-$\tan\beta $ plane are shown for the low-tb-high scenario when only the gluon fusion production process is included. The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma ({\mathrm {g}} {\mathrm {g}} \to \text {A})\mathcal {B}(\text {A}\to {\mathrm {Z}} {\mathrm {h}} \to \ell \ell \tau \tau)$ as predicted by the model at each grid point.

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Additional Figure 4:
The expected and observed 95% CL exclusion limits in the $m_{\text {A}}$-$\tan\beta $ plane are shown for the low-tb-high scenario when both the gluon fusion and the $ {\mathrm {b}}$ quark associated production processes are included. The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma ({\mathrm {g}} {\mathrm {g}} \to \text {A}+ {{\mathrm {b}} {\overline {\mathrm {b}}}} \text {A})\mathcal {B}(\text {A}\to {\mathrm {Z}} {\mathrm {h}} \to \ell \ell {\tau} {\tau})$ as predicted by the model at each grid point.

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Additional Figure 5:
The expected and observed 95% CL exclusion limits in the $m_{\text {A}}$-$\tan\beta $ plane are shown for the hMSSM scenario when only the gluon fusion production process is included. The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma ({\mathrm {g}} {\mathrm {g}} \to \text {A})\mathcal {B}(\text {A}\to {\mathrm {Z}} {\mathrm {h}} \to \ell \ell \tau \tau)$ as predicted by the model at each grid point.

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Additional Figure 6:
The expected and observed 95% CL exclusion limits in the $m_{\text {A}}$-$\tan\beta $ plane are shown for the $\mathrm {M^{125}_{{\mathrm {h}},EFT}}$ scenario when only the gluon fusion production process is included. The area under the solid black curve is excluded. The dashed black curve corresponds to the median expected limit, surrounded by the 68 (95)% confidence intervals in blue (red). The limits are overlaid on a background showing the $\sigma ({\mathrm {g}} {\mathrm {g}} \to \text {A})\mathcal {B}(\text {A}\to {\mathrm {Z}} {\mathrm {h}} \to \ell \ell \tau \tau)$ as predicted by the model at each grid point.
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