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CMS-B2G-25-004 ; CERN-EP-2026-149
Study of ZZ and ZH production in the $ \mathrm{b}\mathrm{b}\tau\tau $ final state and search for high-mass spin-0 and spin-1 resonances in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Submitted to the Journal of High Energy Physics
Abstract: A study of the production of pairs of Z bosons (ZZ) and of the associated production of a Z boson and a Higgs boson (ZH) in final states containing two b quarks and two tau leptons ($ \mathrm{b}\mathrm{b}\tau\tau $) is presented. The analysis is based on proton-proton collisions collected at $ \sqrt{s}= $ 13 TeV by the CMS experiment at the LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The nonresonant analysis targets the standard model ZZ and ZH processes in the $ \mathrm{b}\mathrm{b}\tau\tau $ final state, motivated by the prominent role of this channel in searches for nonresonant Higgs boson pair production. The resonant searches target physics beyond the standard model, probing heavy spin-0 resonances $ \mathrm{X} $ that decay into ZZ and spin-1 resonances $ \mathrm{Z}^{'} $ that decay into ZH, with masses in the 0.2-5 and 0.5-6 TeV ranges, respectively. Upper limits at 95% confidence level are set on the product of production rate and branching fraction $ \sigma(\mathrm{X})\mathcal{B}(\mathrm{X}\to\mathrm{Z}\mathrm{Z}) $, ranging from 300 pb to 24 fb, and $ \sigma(\mathrm{Z}^{'})\mathcal{B}(\mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H}) $, ranging from 0.4 pb to 12 fb. These are the first measurements to probe the $ \mathrm{Z}\mathrm{Z} / \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ processes. No deviation from standard model expectations is observed.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Illustrative diagrams describing the production of a high-mass resonance: a spin-0 resonance $ \mathrm{X}\to\mathrm{Z}\mathrm{Z} $ (left) and a spin-1 resonance $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ (right).

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Figure 1-a:
Illustrative diagrams describing the production of a high-mass resonance: a spin-0 resonance $ \mathrm{X}\to\mathrm{Z}\mathrm{Z} $ (left) and a spin-1 resonance $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ (right).

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Figure 1-b:
Illustrative diagrams describing the production of a high-mass resonance: a spin-0 resonance $ \mathrm{X}\to\mathrm{Z}\mathrm{Z} $ (left) and a spin-1 resonance $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ (right).

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Figure 2:
Distributions in the ($ m_{\mathrm{b}\mathrm{b}},m_{\tau\tau}^{{FastMTT} } $) plane for the SM ZZ (left) and ZH (right) signals, and for the sum of all simulated backgrounds (blue). The corresponding one-dimensional projections are also shown. The distributions are normalized to unity after the $ \tau\tau $ and $ \mathrm{b}\mathrm{b} $ candidate selections have been applied. The colored curves indicate the elliptical mass selection, and the black line in the right panel marks the boundary between the regions targeting each of the two ZH processes.

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Figure 2-a:
Distributions in the ($ m_{\mathrm{b}\mathrm{b}},m_{\tau\tau}^{{FastMTT} } $) plane for the SM ZZ (left) and ZH (right) signals, and for the sum of all simulated backgrounds (blue). The corresponding one-dimensional projections are also shown. The distributions are normalized to unity after the $ \tau\tau $ and $ \mathrm{b}\mathrm{b} $ candidate selections have been applied. The colored curves indicate the elliptical mass selection, and the black line in the right panel marks the boundary between the regions targeting each of the two ZH processes.

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Figure 2-b:
Distributions in the ($ m_{\mathrm{b}\mathrm{b}},m_{\tau\tau}^{{FastMTT} } $) plane for the SM ZZ (left) and ZH (right) signals, and for the sum of all simulated backgrounds (blue). The corresponding one-dimensional projections are also shown. The distributions are normalized to unity after the $ \tau\tau $ and $ \mathrm{b}\mathrm{b} $ candidate selections have been applied. The colored curves indicate the elliptical mass selection, and the black line in the right panel marks the boundary between the regions targeting each of the two ZH processes.

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Figure 3:
Distribution of the invariant mass of the ZZ system, in the resolved 2b category of the $ \tau_{\mu} \tau_\mathrm{h} $ channel. The four-momentum of the $ \tau\tau $ system is reconstructed using FASTMTT. The SM $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ signal, as well as the resonant $ \mathrm{X}\to{\mathrm{Z}}_{\mathrm{b}\mathrm{b}}{\mathrm{Z}}_{\tau\tau} $ signal for $ m_\mathrm{X}= $ 400 GeV, are overlaid, scaled for visibility. The lower panel shows the ratio of the data to the total SM prediction.

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Figure 4:
Distribution of the nonresonant DNN used for $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ signal extraction in a validation region defined by inverting the elliptical mass selections described in Section 5.3, for the resolved-1/2b categories in the $ \tau_{\mu} \tau_\mathrm{h} $ channel. The lower panel shows the ratio of the data to the total SM prediction.

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Figure 5:
Distributions of the output of the DNN used for SM $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ signal extraction. The lower panel shows the ratio of the data to the background prediction with uncertainties from a background-only fit to the observed data. The ZZ signal is scaled to its SM cross section.

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Figure 6:
Distributions of the output of the DNN used for SM $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ signal extraction. Upper: $ \mathrm{Z}_{\mathrm{b}\mathrm{b}}{\mathrm{H}}_{\tau\tau} $ signal region. Lower: $ \mathrm{Z}_{\tau\tau}{\mathrm{H}}_{\mathrm{b}\mathrm{b}} $ signal region. The lower panels show the ratio of the data to the background prediction with uncertainties from a background-only fit to the observed data.

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Figure 6-a:
Distributions of the output of the DNN used for SM $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ signal extraction. Upper: $ \mathrm{Z}_{\mathrm{b}\mathrm{b}}{\mathrm{H}}_{\tau\tau} $ signal region. Lower: $ \mathrm{Z}_{\tau\tau}{\mathrm{H}}_{\mathrm{b}\mathrm{b}} $ signal region. The lower panels show the ratio of the data to the background prediction with uncertainties from a background-only fit to the observed data.

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Figure 6-b:
Distributions of the output of the DNN used for SM $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ signal extraction. Upper: $ \mathrm{Z}_{\mathrm{b}\mathrm{b}}{\mathrm{H}}_{\tau\tau} $ signal region. Lower: $ \mathrm{Z}_{\tau\tau}{\mathrm{H}}_{\mathrm{b}\mathrm{b}} $ signal region. The lower panels show the ratio of the data to the background prediction with uncertainties from a background-only fit to the observed data.

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Figure 7:
Example distributions of the output of the resonant DNN used for signal extraction. Upper: $ \mathrm{X}\to{\mathrm{Z}}_{\mathrm{b}\mathrm{b}}{\mathrm{Z}}_{\tau\tau} $ with $ m_\mathrm{X}= $ 800 GeV. Lower: $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $ \mathrm{Z}_{\mathrm{b}\mathrm{b}}{\mathrm{H}}_{\tau\tau} $ and $ \mathrm{Z}_{\tau\tau}{\mathrm{H}}_{\mathrm{b}\mathrm{b}} $ signal regions in the left and right parts, respectively. The lower panels show the ratio of the data to the SM prediction with uncertainties from a background-only fit to the observed data.

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Figure 7-a:
Example distributions of the output of the resonant DNN used for signal extraction. Upper: $ \mathrm{X}\to{\mathrm{Z}}_{\mathrm{b}\mathrm{b}}{\mathrm{Z}}_{\tau\tau} $ with $ m_\mathrm{X}= $ 800 GeV. Lower: $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $ \mathrm{Z}_{\mathrm{b}\mathrm{b}}{\mathrm{H}}_{\tau\tau} $ and $ \mathrm{Z}_{\tau\tau}{\mathrm{H}}_{\mathrm{b}\mathrm{b}} $ signal regions in the left and right parts, respectively. The lower panels show the ratio of the data to the SM prediction with uncertainties from a background-only fit to the observed data.

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Figure 7-b:
Example distributions of the output of the resonant DNN used for signal extraction. Upper: $ \mathrm{X}\to{\mathrm{Z}}_{\mathrm{b}\mathrm{b}}{\mathrm{Z}}_{\tau\tau} $ with $ m_\mathrm{X}= $ 800 GeV. Lower: $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ with $ m_\mathrm{Z}^{'}= $ 3 TeV, showing the $ \mathrm{Z}_{\mathrm{b}\mathrm{b}}{\mathrm{H}}_{\tau\tau} $ and $ \mathrm{Z}_{\tau\tau}{\mathrm{H}}_{\mathrm{b}\mathrm{b}} $ signal regions in the left and right parts, respectively. The lower panels show the ratio of the data to the SM prediction with uncertainties from a background-only fit to the observed data.

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Figure 8:
Results for the SM $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ and $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ processes. Left: best fit signal strengths and approximate 68% CL intervals, obtained from a profile likelihood fit, as described in Ref. [104]. Right: upper limits at 95% CL on the ratio of production cross section and the SM expectation for the ZZ and ZH processes, as well as those from the $ \mathrm{H}\mathrm{H}\to \mathrm{b}\mathrm{b}\tau\tau $ analysis on the same data set for comparison [40].

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Figure 8-a:
Results for the SM $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ and $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ processes. Left: best fit signal strengths and approximate 68% CL intervals, obtained from a profile likelihood fit, as described in Ref. [104]. Right: upper limits at 95% CL on the ratio of production cross section and the SM expectation for the ZZ and ZH processes, as well as those from the $ \mathrm{H}\mathrm{H}\to \mathrm{b}\mathrm{b}\tau\tau $ analysis on the same data set for comparison [40].

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Figure 8-b:
Results for the SM $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ and $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ processes. Left: best fit signal strengths and approximate 68% CL intervals, obtained from a profile likelihood fit, as described in Ref. [104]. Right: upper limits at 95% CL on the ratio of production cross section and the SM expectation for the ZZ and ZH processes, as well as those from the $ \mathrm{H}\mathrm{H}\to \mathrm{b}\mathrm{b}\tau\tau $ analysis on the same data set for comparison [40].

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Figure 9:
Projected significance [111] for SM $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ and $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ processes as a function of integrated luminosity at the HL-LHC with the CMS Phase 2 detector upgrade [66]. Two scenarios for systematic uncertainties are shown: the S2 scenario assumes reduced systematic uncertainties, as described in Ref. [7], and the second scenario neglects systematic uncertainties. Projections for $ \mathrm{H}\mathrm{H}\to \mathrm{b}\mathrm{b}\tau\tau $ from Ref. [7] are also shown for comparison. The thresholds required for evidence (3 $ \sigma $) and observation (5 $ \sigma $) are indicated.

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Figure 10:
Upper limits on the production cross section for the $ \mathrm{X}\to\mathrm{Z}\mathrm{Z} $ process (left, spin-0 resonance) and the $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ process (right, spin-1 resonance), obtained under the narrow-width approximation.

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Figure 10-a:
Upper limits on the production cross section for the $ \mathrm{X}\to\mathrm{Z}\mathrm{Z} $ process (left, spin-0 resonance) and the $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ process (right, spin-1 resonance), obtained under the narrow-width approximation.

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Figure 10-b:
Upper limits on the production cross section for the $ \mathrm{X}\to\mathrm{Z}\mathrm{Z} $ process (left, spin-0 resonance) and the $ \mathrm{Z}^{'}\to\mathrm{Z}\mathrm{H} $ process (right, spin-1 resonance), obtained under the narrow-width approximation.
Tables

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Table 1:
Summary of selections applied to the $ \tau\tau $ candidate pair
Summary
A study of ZZ and ZH production in the $ \mathrm{b}\mathrm{b}\tau\tau $ final state has been presented based on proton-proton collisions collected by the CMS experiment at the CERN LHC at $ \sqrt{s}= $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. Both nonresonant and resonant production mechanisms are investigated. In the nonresonant interpretation, the production of $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ and $ \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ is studied, and the results are found consistent with standard model predictions. Projections of the sensitivity of the ZZ and ZH measurements that could be achieved at the high-luminosity LHC are presented. These projections indicate that the $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ production is expected to reach the observation threshold earlier than that of the $ \mathrm{H}\mathrm{H}\to \mathrm{b}\mathrm{b}\tau\tau $ search, demonstrating for the first time the use of the $ \mathrm{Z}\mathrm{Z} \to \mathrm{b}\mathrm{b}\tau\tau $ process as a standard candle to assess the analysis methods for the HH search in the $ \mathrm{b}\mathrm{b}\tau\tau $ final state. In the resonant interpretation, searches are performed for heavy spin-0 resonances that decay into ZZ and for spin-1 resonances that decay into ZH, with resonance masses between 200 GeV and 6 TeV. No evidence for a signal is observed, and upper limits are set on the production cross sections. These are the first measurements to probe the $ \mathrm{Z}\mathrm{Z} / \mathrm{Z}\mathrm{H} \to \mathrm{b}\mathrm{b}\tau\tau $ processes.
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