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CMS-TAU-24-002 ; CERN-EP-2026-008
High-level hadronic tau lepton triggers of the CMS experiment in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV
Submitted to the Journal of Instrumentation
Abstract: The trigger system of the CMS detector is pivotal in the acquisition of data for physics measurements and searches. Studies of final states characterized by hadronic decays of tau leptons require the reconstruction and the identification of genuine tau leptons against quark- and gluon-initiated jets at the trigger level. This is a difficult task, particularly as improvements to the LHC have resulted in an increased number of interactions per bunch crossing in recent years. To address this challenge, a series of machine-learning algorithms with high identification efficiency and low computational cost have been incorporated into the high-level trigger for hadronically decaying tau leptons. In this paper, these developments and the trigger performance are summarized using data collected by the CMS experiment in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV in 2022--2023, corresponding to an integrated luminosity of 62 fb$ ^{-1} $.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Workflows for $ \tau_\mathrm{h} $ candidate reconstruction at the HLT in Run 2 [21].

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Figure 2:
Workflows for $ \tau_\mathrm{h} $ candidate reconstruction at the HLT in Run 3, since 2022.

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Figure 3:
Performance of the L2TAUNNTAG in the di-$ \tau_\mathrm{h} $ HLT path, using simulated $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ events. The absolute efficiency of the reconstructed L2 $ \tau_\mathrm{h} $ candidates as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $ (left) and $ \eta $ (right) are shown, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 3-a:
Performance of the L2TAUNNTAG in the di-$ \tau_\mathrm{h} $ HLT path, using simulated $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ events. The absolute efficiency of the reconstructed L2 $ \tau_\mathrm{h} $ candidates as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $ (left) and $ \eta $ (right) are shown, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 3-b:
Performance of the L2TAUNNTAG in the di-$ \tau_\mathrm{h} $ HLT path, using simulated $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ events. The absolute efficiency of the reconstructed L2 $ \tau_\mathrm{h} $ candidates as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $ (left) and $ \eta $ (right) are shown, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 4:
Performance of the L2TAUNNTAG in the single-$ \tau_\mathrm{h} $ HLT path, using simulated $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ events. The absolute efficiency of the reconstructed L2 $ \tau_\mathrm{h} $ candidates as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $ (left) and $ \eta $ (right) are shown, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 4-a:
Performance of the L2TAUNNTAG in the single-$ \tau_\mathrm{h} $ HLT path, using simulated $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ events. The absolute efficiency of the reconstructed L2 $ \tau_\mathrm{h} $ candidates as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $ (left) and $ \eta $ (right) are shown, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 4-b:
Performance of the L2TAUNNTAG in the single-$ \tau_\mathrm{h} $ HLT path, using simulated $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ events. The absolute efficiency of the reconstructed L2 $ \tau_\mathrm{h} $ candidates as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $ (left) and $ \eta $ (right) are shown, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 5:
Total L1$ + $ HLT path efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), single-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h} $ (lower right) HLT paths as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ samples are used in the evaluation. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 5-a:
Total L1$ + $ HLT path efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), single-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h} $ (lower right) HLT paths as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ samples are used in the evaluation. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 5-b:
Total L1$ + $ HLT path efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), single-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h} $ (lower right) HLT paths as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ samples are used in the evaluation. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 5-c:
Total L1$ + $ HLT path efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), single-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h} $ (lower right) HLT paths as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ samples are used in the evaluation. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 5-d:
Total L1$ + $ HLT path efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), single-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h} $ (lower right) HLT paths as a function of the visible generator-level $ \tau_\mathrm{h} p_{\mathrm{T}} $, where ``visible'' refers to the fact that the contribution of neutrinos is not taken into account. The $ \mathrm{H}\to\tau\tau $ and BSM $ \mathrm{Z}^{'}\to\tau\tau $ samples are used in the evaluation. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 6:
A comparison of the L1$ + $ HLT efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 6-a:
A comparison of the L1$ + $ HLT efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 6-b:
A comparison of the L1$ + $ HLT efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 6-c:
A comparison of the L1$ + $ HLT efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 6-d:
A comparison of the L1$ + $ HLT efficiency of the $ \mathrm{e}\tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 7:
A comparison of the L1$ + $ HLT efficiency of the $ \mu\tau_\mathrm{h} $ HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 7-a:
A comparison of the L1$ + $ HLT efficiency of the $ \mu\tau_\mathrm{h} $ HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 7-b:
A comparison of the L1$ + $ HLT efficiency of the $ \mu\tau_\mathrm{h} $ HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 7-c:
A comparison of the L1$ + $ HLT efficiency of the $ \mu\tau_\mathrm{h} $ HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 7-d:
A comparison of the L1$ + $ HLT efficiency of the $ \mu\tau_\mathrm{h} $ HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 8:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 8-a:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 8-b:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 8-c:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 8-d:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 9:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h}{+}\text{jet} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 9-a:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h}{+}\text{jet} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 9-b:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h}{+}\text{jet} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 9-c:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h}{+}\text{jet} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 9-d:
A comparison of the L1$ + $ HLT efficiency of the di-$ \tau_\mathrm{h}{+}\text{jet} $ monitoring HLT path in 2022 and 2023 as a function of offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ (upper left), $ \eta $ (upper right), and $ \phi $ (lower left). The dependence on the $ N_{\text{PV}} $ is also shown (lower right). The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown.

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Figure 10:
Efficiencies and scale factors of the HLT monitoring paths using 2022--2023 data as functions of the offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ for the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), di-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h}{+}\text{jet} $ (lower right) HLT paths. The measured efficiencies for data are shown with black markers, and for simulation with green markers. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown. The systematic uncertainties are negligible with respect to the statistical uncertainties and are not included in the bands. The corresponding dotted lines of the same color display the best fit results together with the statistical uncertainty bands. The scale factors, defined as the ratios of efficiencies between data fitted and simulation fitted from the upper panels, are shown in the lower panels as blue lines with associated blue uncertainty bands. Only values to the right of the red dotted line are used in physics studies, to avoid large statistical fluctuations, as they are sufficiently above the turn-on threshold of the trigger.

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Figure 10-a:
Efficiencies and scale factors of the HLT monitoring paths using 2022--2023 data as functions of the offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ for the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), di-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h}{+}\text{jet} $ (lower right) HLT paths. The measured efficiencies for data are shown with black markers, and for simulation with green markers. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown. The systematic uncertainties are negligible with respect to the statistical uncertainties and are not included in the bands. The corresponding dotted lines of the same color display the best fit results together with the statistical uncertainty bands. The scale factors, defined as the ratios of efficiencies between data fitted and simulation fitted from the upper panels, are shown in the lower panels as blue lines with associated blue uncertainty bands. Only values to the right of the red dotted line are used in physics studies, to avoid large statistical fluctuations, as they are sufficiently above the turn-on threshold of the trigger.

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Figure 10-b:
Efficiencies and scale factors of the HLT monitoring paths using 2022--2023 data as functions of the offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ for the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), di-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h}{+}\text{jet} $ (lower right) HLT paths. The measured efficiencies for data are shown with black markers, and for simulation with green markers. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown. The systematic uncertainties are negligible with respect to the statistical uncertainties and are not included in the bands. The corresponding dotted lines of the same color display the best fit results together with the statistical uncertainty bands. The scale factors, defined as the ratios of efficiencies between data fitted and simulation fitted from the upper panels, are shown in the lower panels as blue lines with associated blue uncertainty bands. Only values to the right of the red dotted line are used in physics studies, to avoid large statistical fluctuations, as they are sufficiently above the turn-on threshold of the trigger.

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Figure 10-c:
Efficiencies and scale factors of the HLT monitoring paths using 2022--2023 data as functions of the offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ for the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), di-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h}{+}\text{jet} $ (lower right) HLT paths. The measured efficiencies for data are shown with black markers, and for simulation with green markers. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown. The systematic uncertainties are negligible with respect to the statistical uncertainties and are not included in the bands. The corresponding dotted lines of the same color display the best fit results together with the statistical uncertainty bands. The scale factors, defined as the ratios of efficiencies between data fitted and simulation fitted from the upper panels, are shown in the lower panels as blue lines with associated blue uncertainty bands. Only values to the right of the red dotted line are used in physics studies, to avoid large statistical fluctuations, as they are sufficiently above the turn-on threshold of the trigger.

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Figure 10-d:
Efficiencies and scale factors of the HLT monitoring paths using 2022--2023 data as functions of the offline $ \tau_\mathrm{h} $ candidate $ p_{\mathrm{T}} $ for the $ \mathrm{e}\tau_\mathrm{h} $ (upper left), $ \mu\tau_\mathrm{h} $ (upper right), di-$ \tau_\mathrm{h} $ (lower left), and di-$ \tau_\mathrm{h}{+}\text{jet} $ (lower right) HLT paths. The measured efficiencies for data are shown with black markers, and for simulation with green markers. The uncertainties shown by the vertical bars are from the number of events available in the sample, while the horizontal bars show the bin width. Some of the vertical bars are smaller than the markers and are not shown. The systematic uncertainties are negligible with respect to the statistical uncertainties and are not included in the bands. The corresponding dotted lines of the same color display the best fit results together with the statistical uncertainty bands. The scale factors, defined as the ratios of efficiencies between data fitted and simulation fitted from the upper panels, are shown in the lower panels as blue lines with associated blue uncertainty bands. Only values to the right of the red dotted line are used in physics studies, to avoid large statistical fluctuations, as they are sufficiently above the turn-on threshold of the trigger.
Tables

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Table 1:
Decay modes and branching fractions ($ \mathcal{B} $) of the tau lepton alongside the mesonic resonances primarily involved in hadronic tau lepton decays [15].

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Table 2:
Rate estimation and observation for the cut-based and L2TAUNNTAG algorithms. Column A scales Run 2 data collected by the cut-based algorithm to Run 3 conditions, column B re-emulates Run 2 data using the L2TAUNNTAG algorithm and scales the result to Run 3 conditions, and column C is the evaluated rate in Run 3. The instantaneous luminosities used were 1.68, 2.00, and 2.20 $ \times 10^{34} \text{cm}^{-2} \text{s}^{-1} $, respectively. The rates are inclusive calculations not excluding shared contributions from other algorithms or paths. The statistical uncertainties are negligible with respect to the significant digits reported.

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Table 3:
Rate estimation and observation for several $ \tau_\mathrm{h} $ HLT paths. Similarly to Table 2, column A scales Run 2 data collected by the cut-based algorithm to Run 3 conditions, column B re-emulates Run 2 data using the L2TAUNNTAG algorithm and scales the result to Run 3 conditions, and column C is the evaluated rate in Run 3. The instantaneous luminosities used for the Run 2 estimation, Run 3 projection, and Run 3 evaluation were 1.68, 2.00, and 2.20 $ \times 10^{34} \text{cm}^{-2} \text{s}^{-1} $, respectively. The rates are inclusive calculations not excluding shared contributions from other algorithms or paths. The statistical uncertainties are negligible with respect to the significant digits reported.
Summary
Two online machine-learning algorithms, L2TAUNNTAG, described here for the first time, and DEEPTAU, have been deployed into the high level trigger (HLT) to select hadronically decaying tau lepton ($ \tau_\mathrm{h} $) candidates. Their performance has been evaluated using the data collected by the CMS experiment in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV in 2022--2023, corresponding to an integrated luminosity of 62 fb$ ^{-1} $. Comparisons to simulation were performed and show good agreement with the collected data, validating the current understanding of the HLT paths involving $ \tau_\mathrm{h} $ candidates. The updated HLT paths are found to deliver improved $ \tau_\mathrm{h} $ candidate identification efficiency without significantly increasing computational cost or event rate, allowing more genuine hadronic tau lepton decays to be collected at roughly the same resource cost as in 2018. These improvements benefit physics studies targeting final states with hadronically decaying tau leptons, including precision measurements of the Higgs boson, and searches beyond the standard model.
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