CMS-PAS-HIG-20-015 | ||

Measurement of the inclusive and differential Higgs boson production cross sections in the decay mode to a pair of $\tau$ leptons | ||

CMS Collaboration | ||

June 2021 | ||

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Abstract:
Measurements of the inclusive and differential fiducial cross sections of the Higgs boson are presented, using the $\tau$ lepton decay channel. The differential cross sections are measured as a function of the Higgs boson transverse momentum, jet multiplicity, and transverse momentum of the leading jet in the event if any. The analysis is performed using proton-proton data collected by the CMS detector at a center-of-mass energy of 13 TeV and amounting to an integrated luminosity of 138 fb$^{-1}$. These are the first differential measurements of the Higgs boson cross section in the final state of two $\tau$ leptons, and they constitute a significant improvement over measurements in other final states in parts of the phase space, namely in events with a large jet multiplicity or with Lorentz-boosted Higgs bosons.
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Links:
CDS record (PDF) ;
inSPIRE record ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, PRL 128 (2022) 081805.The superseded preliminary plots can be found here. |

Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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Figures | |

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Figure 1:
Observed and expected $ {m_{\tau \tau}} $ distributions in the different reconstructed ranges of the differential observable, obtained by reweighting every $ {m_{\tau \tau}} $ distribution of each category, year, and final state by a factor proportional to the ratio between the signal and background yields in bins with 90 $ < {m_{\tau \tau}} < $ 150 GeV. The reweighting is such that the signal normalization is conserved. The signal and background distributions are the results of a multidimensional maximum likelihood regularized fit. The green line in the ratio plot corresponds to the SM signal expectation. The contribution "Others" include the diboson and single top quark productions, as well as the Higgs boson events outside of the fiducial region. |

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Figure 1-a:
Observed and expected $ {m_{\tau \tau}} $ distributions in the different reconstructed ranges of the differential observable, obtained by reweighting every $ {m_{\tau \tau}} $ distribution of each category, year, and final state by a factor proportional to the ratio between the signal and background yields in bins with 90 $ < {m_{\tau \tau}} < $ 150 GeV. The reweighting is such that the signal normalization is conserved. The signal and background distributions are the results of a multidimensional maximum likelihood regularized fit. The green line in the ratio plot corresponds to the SM signal expectation. The contribution "Others" include the diboson and single top quark productions, as well as the Higgs boson events outside of the fiducial region. |

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Figure 1-b:
Observed and expected $ {m_{\tau \tau}} $ distributions in the different reconstructed ranges of the differential observable, obtained by reweighting every $ {m_{\tau \tau}} $ distribution of each category, year, and final state by a factor proportional to the ratio between the signal and background yields in bins with 90 $ < {m_{\tau \tau}} < $ 150 GeV. The reweighting is such that the signal normalization is conserved. The signal and background distributions are the results of a multidimensional maximum likelihood regularized fit. The green line in the ratio plot corresponds to the SM signal expectation. The contribution "Others" include the diboson and single top quark productions, as well as the Higgs boson events outside of the fiducial region. |

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Figure 1-c:
Observed and expected $ {m_{\tau \tau}} $ distributions in the different reconstructed ranges of the differential observable, obtained by reweighting every $ {m_{\tau \tau}} $ distribution of each category, year, and final state by a factor proportional to the ratio between the signal and background yields in bins with 90 $ < {m_{\tau \tau}} < $ 150 GeV. The reweighting is such that the signal normalization is conserved. The signal and background distributions are the results of a multidimensional maximum likelihood regularized fit. The green line in the ratio plot corresponds to the SM signal expectation. The contribution "Others" include the diboson and single top quark productions, as well as the Higgs boson events outside of the fiducial region. |

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Figure 2:
Observed and expected differential fiducial cross section in bins of $ {{p_{\mathrm {T}}} ^{\mathrm{H}}} $ (left), $ {N_\textrm {jets}} $ (center), and $ {{p_{\mathrm {T}}} ^{\mathrm {j}_1}} $ (right). The signal samples are generated using POWHEG, and the predictions from NNLOPS are also shown as nominal model. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scale, underlying event and parton showering, and $\mathcal {B}(\mathrm{H} \to \tau \tau)$. The last bins include the overflow. |

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Figure 2-a:
Observed and expected differential fiducial cross section in bins of $ {{p_{\mathrm {T}}} ^{\mathrm{H}}} $ (left), $ {N_\textrm {jets}} $ (center), and $ {{p_{\mathrm {T}}} ^{\mathrm {j}_1}} $ (right). The signal samples are generated using POWHEG, and the predictions from NNLOPS are also shown as nominal model. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scale, underlying event and parton showering, and $\mathcal {B}(\mathrm{H} \to \tau \tau)$. The last bins include the overflow. |

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Figure 2-b:
Observed and expected differential fiducial cross section in bins of $ {{p_{\mathrm {T}}} ^{\mathrm{H}}} $ (left), $ {N_\textrm {jets}} $ (center), and $ {{p_{\mathrm {T}}} ^{\mathrm {j}_1}} $ (right). The signal samples are generated using POWHEG, and the predictions from NNLOPS are also shown as nominal model. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scale, underlying event and parton showering, and $\mathcal {B}(\mathrm{H} \to \tau \tau)$. The last bins include the overflow. |

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Figure 2-c:
Observed and expected differential fiducial cross section in bins of $ {{p_{\mathrm {T}}} ^{\mathrm{H}}} $ (left), $ {N_\textrm {jets}} $ (center), and $ {{p_{\mathrm {T}}} ^{\mathrm {j}_1}} $ (right). The signal samples are generated using POWHEG, and the predictions from NNLOPS are also shown as nominal model. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scale, underlying event and parton showering, and $\mathcal {B}(\mathrm{H} \to \tau \tau)$. The last bins include the overflow. |

Tables | |

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Table 1:
Selection criteria in the four di-$\tau $ final states. The ${p_{\mathrm {T}}}$ ranges are related to different triggers used during different data-taking periods. The symbol $m_T$ denotes the transverse mass between two objects [10]. In events collected in 2016 in the $\mu {\tau _\mathrm {h}} $ channel, $ {\tau _\mathrm {h}} $ candidates with 0.2 $ < {| \eta |} < $ 0.3 are discarded because of a significantly larger misidentification rate of muons as $ {\tau _\mathrm {h}} $ objects. |

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Table 2:
Observed and expected fiducial cross sections in $ {N_\textrm {jets}} $, $ {{p_{\mathrm {T}}} ^{\mathrm{H}}} $, and $ {{p_{\mathrm {T}}} ^{\mathrm {j}_1}} $ bins. The signal strengths obtained from the regularized and unregularized fits are indicated. The observed cross section corresponds to the result of the regularized fit. The signal strengths do not include yield uncertainties in the predictions of the SM Higgs boson production cross sections nor branching fractions. Results for $ {N_\textrm {jets}} =$ 0 are given twice in the table: the first occurence is related to the fit of $ {N_\textrm {jets}} $-based categories, while the second occurence corresponds to the fit of $ {{p_{\mathrm {T}}} ^{\mathrm {j}_1}} $-based categories. |

Summary |

In summary, measurements of the differential fiducial cross sections of the Higgs boson have been performed for the first time at the LHC in the decay channel of two $\tau$ leptons. The differential cross section as a function of the jet multiplicity, Higgs boson transverse momentum, and tranverse momentum of the leading jet, are in agreement with the expectations of the standard model, with a competitive precision with respect to measurements in other final states in the phase spaces with a large jet multiplicity, or with a Higgs boson transverse momentum between 120 and 600 GeV. In addition, the fiducial inclusive cross section has been measured to be 426 $\pm$ 102 fb, for a standard-model expectation of 408 $\pm$ 27 fb. |

Additional Figures | |

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Additional Figure 1:
Response matrices for the reconstructed vs. generated Higgs $ {p_{\mathrm {T}}} $ in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ channel for 2018. The horizontal axis represents the generator-level Higgs $ {p_{\mathrm {T}}} $ bins and the vertical axis represents the reconstruction-level Higgs $ {p_{\mathrm {T}}} $ bins. Each column is normalized so that event yield in the column adds up to unity. |

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Additional Figure 2:
Response matrices for the reconstructed vs. generated Higgs $ {p_{\mathrm {T}}} $ in the $\mu {{\tau} _\mathrm {h}} $ channel for 2018. The horizontal axis represents the generator-level Higgs $ {p_{\mathrm {T}}} $ bins and the vertical axis represents the reconstruction-level Higgs $ {p_{\mathrm {T}}} $ bins. Each column is normalized so that event yield in the column adds up to unity. |

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Additional Figure 3:
Response matrices for the reconstructed vs. generated Higgs $ {p_{\mathrm {T}}} $ in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ channel for 2018. The horizontal axis represents the generator-level Higgs $ {p_{\mathrm {T}}} $ bins and the vertical axis represents the reconstruction-level Higgs $ {p_{\mathrm {T}}} $ bins. Each column is normalized so that event yield in the column adds up to unity. |

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Additional Figure 4:
Response matrices for the reconstructed vs. generated Higgs $ {p_{\mathrm {T}}} $ in the $ {\mathrm {e}}\mu $ channel for 2018. The horizontal axis represents the generator-level Higgs $ {p_{\mathrm {T}}} $ bins and the vertical axis represents the reconstruction-level Higgs $ {p_{\mathrm {T}}} $ bins. Each column is normalized so that event yield in the column adds up to unity. |

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Additional Figure 5:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 5-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 5-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 5-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 6:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 6-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 6-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 6-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 7:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 7-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 7-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 7-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 8:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 9:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 9-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 9-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 9-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 10:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 10-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 10-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 10-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 11:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 11-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 11-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 11-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 12:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 13:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 13-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 13-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 13-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 14:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 14-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 14-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 14-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 15:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 15-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 15-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 15-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 16:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 17:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 17-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 17-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 17-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 18:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 18-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 18-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 18-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 19:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 19-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 19-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

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Additional Figure 19-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 20:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 21:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 21-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 21-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 21-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 22:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 22-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 22-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 22-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 23:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 23-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 23-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 23-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 24:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 25:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 25-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 25-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 25-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 26:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 26-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 26-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 26-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 27:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 27-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 27-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

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Additional Figure 27-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 28:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 29:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 29-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 29-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 29-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 30:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 30-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 30-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 30-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 31:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 31-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 31-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 31-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 32:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2018. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 33:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 33-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 33-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 33-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 34:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 34-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

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Additional Figure 34-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 34-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 35:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 35-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 35-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 35-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 36:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2017. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 37:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 37-a:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 37-b:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 37-c:
Postfit distributions in the $ {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 38:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 38-a:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 38-b:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 38-c:
Postfit distributions in the $\mu {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 39:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 39-a:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 39-b:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 39-c:
Postfit distributions in the $ {\mathrm {e}} {{\tau} _\mathrm {h}} $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 40:
Postfit distributions in the $ {\mathrm {e}}\mu $ final state in 2016. This represents a fit to data with all years and final states. |

png pdf |
Additional Figure 41:
Observed signal strength modifiers in $ {p_{\mathrm {T}}} ^{H}$ bins. |

png pdf |
Additional Figure 42:
Observed signal strength modifiers in $N_{jets}$ bins. |

png pdf |
Additional Figure 43:
Observed signal strength modifiers in $ {p_{\mathrm {T}}} ^{jet1}$ bins. |

png pdf |
Additional Figure 44:
Correlation between signal strength modifiers in fiducial $ {p_{\mathrm {T}}} ^{H}$ bins obtained from fits to data without regularization. |

png pdf |
Additional Figure 45:
Correlation between signal strength modifiers in fiducial $ {p_{\mathrm {T}}} ^{H}$ bins obtained from fits to data with regularization. |

png pdf |
Additional Figure 46:
Correlation between signal strength modifiers in fiducial $N_{jets}$ bins obtained from fits to data without regularization. |

png pdf |
Additional Figure 47:
Correlation between signal strength modifiers in fiducial $N_{jets}$ bins obtained from fits to data with regularization. |

png pdf |
Additional Figure 48:
Correlation between signal strength modifiers in fiducial $ {p_{\mathrm {T}}} ^{jet1}$ bins obtained from fits to data without regularization. |

png pdf |
Additional Figure 49:
Correlation between signal strength modifiers in fiducial $ {p_{\mathrm {T}}} ^{jet1}$ bins obtained from fits to data with regularization. |

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Compact Muon Solenoid LHC, CERN |