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CMS-PAS-HIG-21-006
Search for CP violation in $\mathrm{t}\bar{\mathrm{t}}$H and $\mathrm{t}$H production in multilepton channels at $\sqrt{s} = $ 13 TeV
Abstract: We measure the CP structure of the Yukawa interaction between the Higgs boson (H) and one or two top quarks in a data sample enriched in the $\mathrm{t}\bar{\mathrm{t}}$H and $\mathrm{t}$H associated production, using 138 fb$^{-1}$ of data collected in proton-proton collisions at $\sqrt{s}= $ 13 TeV by the CMS experiment at the CERN LHC, and targeting events where the H decays via H $\to$ WW or H $\to\tau\tau$ and top quarks decay either leptonically or hadronically. We apply machine learning techniques to final states characterized by the presence of at least two leptons to enhance the separation of CP-even from CP-odd scenarios. Two-dimensional confidence regions are set on the ratios $\kappa_{t}$ and $\tilde{\kappa_{t}}$ of the couplings of CP-even and CP-odd Lagrangian terms, respectively, to the SM expectation for the top-Higgs Yukawa coupling. Fractionary CP-odd contributions are not observed; the corresponding $f_{CP}^{\text{Htt}}$ parameter is determined to be $|f_{CP}^{\text{Htt}}| = $ 0.59 with an interval of (0.24, 0.81) at 68% confidence level. The results are combined with previously published analyses covering the H $\to\mathrm{Z}\mathrm{Z}$ and H $\to\gamma\gamma$ decay modes, yielding two- and one-dimensional confidence regions on $\kappa_{t}$ and $\tilde{\kappa_{t}}$, while $f_{CP}^{\text{Htt}}$ is determined to be $|f_{CP}^{\text{Htt}}| = $ 0.28 with an interval of $|f_{CP}^{\text{Htt}}| < $ 0.55 at 68% confidence level.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Representative Feynman diagrams for the $\mathrm{t} \mathrm{\bar{t}} $H production processes.

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Figure 1-a:
Representative Feynman diagrams for the $\mathrm{t} \mathrm{\bar{t}} $H production processes.

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Figure 1-b:
Representative Feynman diagrams for the $\mathrm{t} \mathrm{\bar{t}} $H production processes.

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Figure 2:
Representative Feynman diagrams for the $\mathrm{t} $-channel $\mathrm{t} $H production processes.

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Figure 2-a:
Representative Feynman diagrams for the $\mathrm{t} $-channel $\mathrm{t} $H production processes.

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Figure 2-b:
Representative Feynman diagrams for the $\mathrm{t} $-channel $\mathrm{t} $H production processes.

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Figure 3:
Representative Feynman diagrams for the $\mathrm{t} \mathrm{W} $-associated $\mathrm{t} $H production processes.

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Figure 3-a:
Representative Feynman diagrams for the $\mathrm{t} \mathrm{W} $-associated $\mathrm{t} $H production processes.

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Figure 3-b:
Representative Feynman diagrams for the $\mathrm{t} \mathrm{W} $-associated $\mathrm{t} $H production processes.

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Figure 4:
Representative Feynman diagram for the s-channel $\mathrm{t} $H production processes.

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Figure 5:
Most important input variables to the XGBoost used for CP discrimination in 2$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 5-a:
Most important input variables to the XGBoost used for CP discrimination in 2$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 5-b:
Most important input variables to the XGBoost used for CP discrimination in 2$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 5-c:
Most important input variables to the XGBoost used for CP discrimination in 2$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 6:
Most important input variables to the XGBoost used for CP discrimination in 3$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 6-a:
Most important input variables to the XGBoost used for CP discrimination in 3$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 6-b:
Most important input variables to the XGBoost used for CP discrimination in 3$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 6-c:
Most important input variables to the XGBoost used for CP discrimination in 3$ \ell $SS+0$\tau _\mathrm {h}$ channel. The vertical bars represent the statistical uncertainty originating from the limited amount of simulated events. When not visible, the bars are smaller than the marker size.

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Figure 7:
Postfit plots of the discriminating variables in the SR used as input to the fit in each of the categories: 2$ \ell $SS+0$\tau _\mathrm {h}$ (left) 3$ \ell $SS+0$\tau _\mathrm {h}$ (centre) and 2$ \ell $SS+1$\tau _\mathrm {h}$ (right). The blue line shows the $\mathrm{t}\bar{\mathrm{t}}$H CP odd contribution normalized to the $\mathrm{t}\bar{\mathrm{t}}$H SM cross section; the $\mathrm{t}\bar{\mathrm{t}}$H CP even contribution is shown in red and is stacked with the backgrounds.

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Figure 7-a:
Postfit plots of the discriminating variables in the SR used as input to the fit in each of the categories: 2$ \ell $SS+0$\tau _\mathrm {h}$ (left) 3$ \ell $SS+0$\tau _\mathrm {h}$ (centre) and 2$ \ell $SS+1$\tau _\mathrm {h}$ (right). The blue line shows the $\mathrm{t}\bar{\mathrm{t}}$H CP odd contribution normalized to the $\mathrm{t}\bar{\mathrm{t}}$H SM cross section; the $\mathrm{t}\bar{\mathrm{t}}$H CP even contribution is shown in red and is stacked with the backgrounds.

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Figure 7-b:
Postfit plots of the discriminating variables in the SR used as input to the fit in each of the categories: 2$ \ell $SS+0$\tau _\mathrm {h}$ (left) 3$ \ell $SS+0$\tau _\mathrm {h}$ (centre) and 2$ \ell $SS+1$\tau _\mathrm {h}$ (right). The blue line shows the $\mathrm{t}\bar{\mathrm{t}}$H CP odd contribution normalized to the $\mathrm{t}\bar{\mathrm{t}}$H SM cross section; the $\mathrm{t}\bar{\mathrm{t}}$H CP even contribution is shown in red and is stacked with the backgrounds.

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Figure 7-c:
Postfit plots of the discriminating variables in the SR used as input to the fit in each of the categories: 2$ \ell $SS+0$\tau _\mathrm {h}$ (left) 3$ \ell $SS+0$\tau _\mathrm {h}$ (centre) and 2$ \ell $SS+1$\tau _\mathrm {h}$ (right). The blue line shows the $\mathrm{t}\bar{\mathrm{t}}$H CP odd contribution normalized to the $\mathrm{t}\bar{\mathrm{t}}$H SM cross section; the $\mathrm{t}\bar{\mathrm{t}}$H CP even contribution is shown in red and is stacked with the backgrounds.

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Figure 8:
Likelihood scan as a function of $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Left plot shows the expected limits, while right plot shows the observed ones. Black diamond shows the best value for $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$ given by the fit. Black cross shows the expected SM values for $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Both 68 and 95% CL limits are shown.

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Figure 8-a:
Likelihood scan as a function of $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Left plot shows the expected limits, while right plot shows the observed ones. Black diamond shows the best value for $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$ given by the fit. Black cross shows the expected SM values for $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Both 68 and 95% CL limits are shown.

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Figure 8-b:
Likelihood scan as a function of $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Left plot shows the expected limits, while right plot shows the observed ones. Black diamond shows the best value for $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$ given by the fit. Black cross shows the expected SM values for $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Both 68 and 95% CL limits are shown.

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Figure 9:
Likelihood scan as a function of $f_{CP}^{\text{Htt}}$ for multilepton final estates. The solid (dashed) line shows the observed (expected) scan.

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Figure 10:
Likelihood scan as a function of $f^{\text{Htt}}_{CP}$. Left plot shows the expected Likelihood scan for multilepton final states, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states, and the combination of multilepton, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states. Right plot shows the observed Likelihood scan for multilepton final states and the combination of multilepton, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states.

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Figure 10-a:
Likelihood scan as a function of $f^{\text{Htt}}_{CP}$. Left plot shows the expected Likelihood scan for multilepton final states, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states, and the combination of multilepton, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states. Right plot shows the observed Likelihood scan for multilepton final states and the combination of multilepton, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states.

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Figure 10-b:
Likelihood scan as a function of $f^{\text{Htt}}_{CP}$. Left plot shows the expected Likelihood scan for multilepton final states, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states, and the combination of multilepton, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states. Right plot shows the observed Likelihood scan for multilepton final states and the combination of multilepton, H $ \to \gamma \gamma $, and H $ \to $ ZZ final states.

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Figure 11:
Likelihood scan as a function of $ {\kappa _{\mathrm{t}}}$ and $ {\tilde{\kappa _{\mathrm{t}}}}$. Two-dimensional confidence intervals at 68% CL are shown for multilepton final states, the combination of H $ \to \gamma \gamma $ and H $ \to $ ZZ, and the combination of the three channels.
Tables

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Table 1:
Possible CP scenarios

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Table 2:
Standard model cross sections for the $\mathrm{t}\bar{\mathrm{t}}$H and $\mathrm{t}$H signals as well as for the most relevant background processes. The cross sections are quoted for pp collisions at $\sqrt {s} = $ 13 TeV. The quoted value for DY production includes a generator-level requirement of $m_{\mathrm{Z} /\gamma ^*} > $ 50 GeV.

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Table 3:
Event selections applied in the 2$ \ell $SS+0$\tau _\mathrm {h}$, 2$ \ell $SS+1$\tau _\mathrm {h}$, 3$ \ell $SS+0$\tau _\mathrm {h}$.

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Table 4:
Input features for the three BDTs. A check mark v) indicates the variable is used in a given final state, wherease a long dash (--) indicates the variable is not used in that final state.

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Table 5:
Summary of the main uncertainty sources, their type and the correlations across the three data-taking periods.

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Table 6:
One-dimensional confidence intervals at 68 and 95% CL for ${\kappa _{\mathrm{t}}}$ and ${\tilde{\kappa _{\mathrm{t}}}}$. The upper part of the table shows the expected limits while the lower part shows the observed limits

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Table 7:
One-dimensional confidence intervals at 68 and 95% CL for ${\kappa _{\mathrm{t}}}$ and ${\tilde{\kappa _{\mathrm{t}}}}$.
Summary
A measurement of the CP structure of the Yukawa coupling between the Higgs boson (H) and top quarks at tree level, when H is produced in association with one ($\mathrm{t}$H) or two ($\mathrm{t}\bar{\mathrm{t}}$H) top quarks, is presented. The measurement is based on data collected in proton-proton collisions at $\sqrt{s} = $ 13 TeV by the CMS experiment at the CERN LHC, corresponding to an integrated luminosity of 138 fb$^{-1}$. The analysis targets events where the H decays via H $\to\mathrm{W}\mathrm{W}$ or H $\to\tau\tau$ and the top quark(s) decay either leptonically or hadronically. Separation of CP-even from CP-odd scenarios is achieved by applying machine learning techniques to final states characterized by the presence of at least two leptons. Two-dimensional confidence regions are set on the ratios ${\kappa_{\mathrm{t}}}$ and $\tilde{\kappa_{\mathrm{t}}}$ of the couplings of CP-even and CP-odd Lagrangian terms, respectively, to the SM expectation for the top-Higgs Yukawa coupling: one-dimensional confidence intervals are also set, constraining ${\kappa_{\mathrm{t}}}$ to be within $(-1.09, -0.74)$ or $(0.77, 1.30)$ and $\tilde{\kappa_{\mathrm{t}}}$ to be within ($-$1.4, 1.4) at 95% confidence level (CL). No fractional contribution is observed, and the corresponding $|f_{CP}^{\text{Htt}}|$ parameter is determined to be $|f_{CP}^{\text{Htt}}| = $ 0.59 with an interval of $(0.24, 0.81)$ at 68% CL. The results are combined with previously published analyses covering the H $\to\mathrm{Z}\mathrm{Z}$ and H $\to\gamma\gamma$ decay modes. Two- and one-dimensional confidence regions are set on ${\kappa_{\mathrm{t}}}$ and $\tilde{\kappa_{\mathrm{t}}}$, constraining ${\kappa_{\mathrm{t}}}$ to be within (0.86, 1.26) and $\tilde{\kappa_{\mathrm{t}}}$ to be within ($-$1.07, 1.07) at 95% CL. Fractional contribution is also investigated in the combination, yielding a best fit of $|f_{CP}^{\text{Htt}}| = $ 0.28 and an interval of $|f_{CP}^{\text{Htt}}| < $ 0.55 at 68% CL. The results are compatible with predictions for the standard model H.
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Compact Muon Solenoid
LHC, CERN