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| CMS-PAS-HIG-20-007 | ||
| Constraints on anomalous Higgs boson couplings to vector bosons and fermions in its production with associated particles using the H $\rightarrow\tau\tau$ final state. | ||
| CMS Collaboration | ||
| October 2021 | ||
| Abstract: A study of anomalous couplings of the Higgs boson to vector bosons and fermions is presented. The data were recorded by the CMS experiment at a center-of-mass energy of 13 TeV and correspond to an integrated luminosity of 138 fb$^{-1}$. The study uses Higgs boson candidates produced mainly in electroweak vector boson or gluon fusion that subsequently decay to a pair of $\tau$ leptons. Matrix element and multivariate techniques were employed in a search for anomalous effects. The results are combined with those from the $\mathrm{H}\rightarrow 4\ell $ and $\mathrm{H}\rightarrow\gamma\gamma$ decay channels to yield the most stringent constraints on anomalous Higgs boson couplings to date. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to PRD. |
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| Figures | |
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Figure 1:
Illustrations of $\mathrm{H} $ production in vector boson fusion $\mathrm{q} {\mathrm{q} ^\prime}\to \mathrm{q} {\mathrm{q} ^\prime} \mathrm{H} $ (left) and $\mathrm{q} \mathrm{\bar{q}} ^\prime \to \mathrm {V}^*\to \mathrm {V}\mathrm{H} $ (right). The decay $\mathrm{H} \to \tau \tau $ is shown without illustrating the further decay chain. Angles and invariant masses fully characterize the orientation of the production and two-body decay chain and are defined in the suitable rest frames [24,26]. |
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Figure 1-a:
Illustrations of $\mathrm{H} $ production in vector boson fusion $\mathrm{q} {\mathrm{q} ^\prime}\to \mathrm{q} {\mathrm{q} ^\prime} \mathrm{H} $ (left) and $\mathrm{q} \mathrm{\bar{q}} ^\prime \to \mathrm {V}^*\to \mathrm {V}\mathrm{H} $ (right). The decay $\mathrm{H} \to \tau \tau $ is shown without illustrating the further decay chain. Angles and invariant masses fully characterize the orientation of the production and two-body decay chain and are defined in the suitable rest frames [24,26]. |
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Figure 1-b:
Illustrations of $\mathrm{H} $ production in vector boson fusion $\mathrm{q} {\mathrm{q} ^\prime}\to \mathrm{q} {\mathrm{q} ^\prime} \mathrm{H} $ (left) and $\mathrm{q} \mathrm{\bar{q}} ^\prime \to \mathrm {V}^*\to \mathrm {V}\mathrm{H} $ (right). The decay $\mathrm{H} \to \tau \tau $ is shown without illustrating the further decay chain. Angles and invariant masses fully characterize the orientation of the production and two-body decay chain and are defined in the suitable rest frames [24,26]. |
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Figure 2:
Di-tau lepton candidate mass distribution (left) and ${p_{\mathrm {T}}}$ spectrum of the selected H candidates (right) in the VBF category. All events selected in the e$\mu$, e$ {\tau _\mathrm {h}} $, $\mu {\tau _\mathrm {h}} $, and $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ final states are included. Only statistical uncertainties are shown. |
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Figure 2-a:
Di-tau lepton candidate mass distribution (left) and ${p_{\mathrm {T}}}$ spectrum of the selected H candidates (right) in the VBF category. All events selected in the e$\mu$, e$ {\tau _\mathrm {h}} $, $\mu {\tau _\mathrm {h}} $, and $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ final states are included. Only statistical uncertainties are shown. |
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Figure 2-b:
Di-tau lepton candidate mass distribution (left) and ${p_{\mathrm {T}}}$ spectrum of the selected H candidates (right) in the VBF category. All events selected in the e$\mu$, e$ {\tau _\mathrm {h}} $, $\mu {\tau _\mathrm {h}} $, and $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ final states are included. Only statistical uncertainties are shown. |
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Figure 3:
Examples of data and signal and background predictions for MELA and neural network discriminants in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ and $\mu {\tau _\mathrm {h}} $ channels. Events passing the selections outlined in Section 5 and allocated to the VBF category are included. Only statistical uncertainties are shown. The expectation in the ratio plane is the sum of the estimated backgrounds and the SM H signal. For the ${\mathcal {D}_{0-}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution expected for a pseudoscalar $\mathrm{H} $ is overlaid to be compared to the SM signal. Similarly, for the ${\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution for a CP-violating scenario with maximum-mixing between CP-even and CP-odd couplings (labeled "MM" in the legend) is shown. |
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Figure 3-a:
Examples of data and signal and background predictions for MELA and neural network discriminants in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ and $\mu {\tau _\mathrm {h}} $ channels. Events passing the selections outlined in Section 5 and allocated to the VBF category are included. Only statistical uncertainties are shown. The expectation in the ratio plane is the sum of the estimated backgrounds and the SM H signal. For the ${\mathcal {D}_{0-}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution expected for a pseudoscalar $\mathrm{H} $ is overlaid to be compared to the SM signal. Similarly, for the ${\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution for a CP-violating scenario with maximum-mixing between CP-even and CP-odd couplings (labeled "MM" in the legend) is shown. |
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Figure 3-b:
Examples of data and signal and background predictions for MELA and neural network discriminants in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ and $\mu {\tau _\mathrm {h}} $ channels. Events passing the selections outlined in Section 5 and allocated to the VBF category are included. Only statistical uncertainties are shown. The expectation in the ratio plane is the sum of the estimated backgrounds and the SM H signal. For the ${\mathcal {D}_{0-}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution expected for a pseudoscalar $\mathrm{H} $ is overlaid to be compared to the SM signal. Similarly, for the ${\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution for a CP-violating scenario with maximum-mixing between CP-even and CP-odd couplings (labeled "MM" in the legend) is shown. |
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Figure 3-c:
Examples of data and signal and background predictions for MELA and neural network discriminants in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ and $\mu {\tau _\mathrm {h}} $ channels. Events passing the selections outlined in Section 5 and allocated to the VBF category are included. Only statistical uncertainties are shown. The expectation in the ratio plane is the sum of the estimated backgrounds and the SM H signal. For the ${\mathcal {D}_{0-}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution expected for a pseudoscalar $\mathrm{H} $ is overlaid to be compared to the SM signal. Similarly, for the ${\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution for a CP-violating scenario with maximum-mixing between CP-even and CP-odd couplings (labeled "MM" in the legend) is shown. |
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Figure 3-d:
Examples of data and signal and background predictions for MELA and neural network discriminants in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ and $\mu {\tau _\mathrm {h}} $ channels. Events passing the selections outlined in Section 5 and allocated to the VBF category are included. Only statistical uncertainties are shown. The expectation in the ratio plane is the sum of the estimated backgrounds and the SM H signal. For the ${\mathcal {D}_{0-}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution expected for a pseudoscalar $\mathrm{H} $ is overlaid to be compared to the SM signal. Similarly, for the ${\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ discriminant the distribution for a CP-violating scenario with maximum-mixing between CP-even and CP-odd couplings (labeled "MM" in the legend) is shown. |
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Figure 4:
The observed and predicted 2D distribution of (${\mathcal {D}_{0-}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$, ${\mathcal {D}_\mathrm {NN}}$) before the fit to data in the most sensitive VBF category region with 0.3 $ < {\mathcal {D}_\mathrm {2jet}^\mathrm {VBF}} < $ 0.7 in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ channel. The $ {\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}} > 0$ bins are shown in the plots, and the $ {\mathcal {D}_{\mathrm {CP}}^{\mathrm{g} \mathrm{g} \mathrm{H}}} < $ 0 side has a symmetric distribution except for small fluctuations in the observed data. Only the statistical uncertainties are included in the uncertainty band. |
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Figure 5:
Observed and predicted 2D distributions after the fit to data in the VBF Tight-$ {m_{jj}}$ boosted category in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ channel. The uncertainty band accounts for all sources of systematic uncertainty on the signal and background predictions. The expectation in the ratio plane is the sum of the estimated backgrounds and the best fit signal. |
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Figure 6:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ obtained with the MELA method (left) and the ${\Delta \phi _{jj}}$ method used as a cross check (right). |
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Figure 6-a:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ obtained with the MELA method (left) and the ${\Delta \phi _{jj}}$ method used as a cross check (right). |
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Figure 6-b:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ obtained with the MELA method (left) and the ${\Delta \phi _{jj}}$ method used as a cross check (right). |
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Figure 7:
Observed (solid) and expected (dashed) likelihood scans of ${\alpha ^{\mathrm{H} \mathrm {ff}}}$ obtained with the MELA method (left) and the ${\Delta \phi _{jj}}$ method used as a cross check (right). |
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Figure 7-a:
Observed (solid) and expected (dashed) likelihood scans of ${\alpha ^{\mathrm{H} \mathrm {ff}}}$ obtained with the MELA method (left) and the ${\Delta \phi _{jj}}$ method used as a cross check (right). |
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Figure 7-b:
Observed (solid) and expected (dashed) likelihood scans of ${\alpha ^{\mathrm{H} \mathrm {ff}}}$ obtained with the MELA method (left) and the ${\Delta \phi _{jj}}$ method used as a cross check (right). |
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Figure 8:
The observed and predicted 3D distribution of (${\mathcal {D}_{0-}}, {\mathcal {D}_\mathrm {NN}}$, ${\mathcal {D}_\mathrm {2jet}^\mathrm {VBF}}$) before the fit to data in the $ {\tau _\mathrm {h}} {\tau _\mathrm {h}} $ channel for the most sensitive VBF category. The $ {\mathcal {D}_{\mathrm {CP}}^{\mathrm {VBF}}} > 0$ bins are shown in the plots, and the $ {\mathcal {D}_{\mathrm {CP}}^{\mathrm {VBF}}} < $ 0 side has a symmetric distribution except for small fluctuation in the observations. Only the statistical uncertainties are included in the uncertainty band. |
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Figure 9:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 (${a_i^{\mathrm{W} \mathrm{W}}=a_i^{\mathrm{Z} \mathrm{Z}}}$). |
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Figure 9-a:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 (${a_i^{\mathrm{W} \mathrm{W}}=a_i^{\mathrm{Z} \mathrm{Z}}}$). |
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Figure 9-b:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 (${a_i^{\mathrm{W} \mathrm{W}}=a_i^{\mathrm{Z} \mathrm{Z}}}$). |
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Figure 9-c:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 (${a_i^{\mathrm{W} \mathrm{W}}=a_i^{\mathrm{Z} \mathrm{Z}}}$). |
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Figure 9-d:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 (${a_i^{\mathrm{W} \mathrm{W}}=a_i^{\mathrm{Z} \mathrm{Z}}}$). |
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Figure 10:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ in Approach 2. |
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Figure 11:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 ($a_i^{\mathrm{W} \mathrm{W}}$ = $a_i^{\mathrm{Z} \mathrm{Z}}$) obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. |
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Figure 11-a:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 ($a_i^{\mathrm{W} \mathrm{W}}$ = $a_i^{\mathrm{Z} \mathrm{Z}}$) obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. |
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Figure 11-b:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 ($a_i^{\mathrm{W} \mathrm{W}}$ = $a_i^{\mathrm{Z} \mathrm{Z}}$) obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. |
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Figure 11-c:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 ($a_i^{\mathrm{W} \mathrm{W}}$ = $a_i^{\mathrm{Z} \mathrm{Z}}$) obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. |
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Figure 11-d:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ (top left), ${f_{a2}}$ (top right), ${f_{\Lambda 1}}$ (bottom left), and ${f_{\Lambda 1}^{\mathrm{Z} \gamma}}$ (bottom right) in Approach 1 ($a_i^{\mathrm{W} \mathrm{W}}$ = $a_i^{\mathrm{Z} \mathrm{Z}}$) obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. |
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Figure 12:
Observed (solid) and expected (dashed) likelihood scans of ${f_{a3}}$ in Approach 2 (defined in Section 2) obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. |
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Figure 13:
Left: the observed (solid) and expected (dashed) likelihood scans of ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ and ${\alpha ^{\mathrm{H} \mathrm {ff}}}$ obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. Right: The observed (solid) and expected (dashed) likelihood scans of ${f_{\mathrm {CP}}^{\mathrm{H} \mathrm{t} \mathrm{t}}}$ obtained with the combination of results using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 13-a:
Left: the observed (solid) and expected (dashed) likelihood scans of ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ and ${\alpha ^{\mathrm{H} \mathrm {ff}}}$ obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. Right: The observed (solid) and expected (dashed) likelihood scans of ${f_{\mathrm {CP}}^{\mathrm{H} \mathrm{t} \mathrm{t}}}$ obtained with the combination of results using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 13-b:
Left: the observed (solid) and expected (dashed) likelihood scans of ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$ and ${\alpha ^{\mathrm{H} \mathrm {ff}}}$ obtained with the combination of results using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels. Right: The observed (solid) and expected (dashed) likelihood scans of ${f_{\mathrm {CP}}^{\mathrm{H} \mathrm{t} \mathrm{t}}}$ obtained with the combination of results using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 14:
Observed (solid) and expected (dashed) likelihood scans of ${c_{\mathrm{g} \mathrm{g}}}$ (left) and ${\tilde{c}_{\mathrm{g} \mathrm{g}}}$ (right) with ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ profiled (top) and fixed to SM expectation (bottom) using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 14-a:
Observed (solid) and expected (dashed) likelihood scans of ${c_{\mathrm{g} \mathrm{g}}}$ (left) and ${\tilde{c}_{\mathrm{g} \mathrm{g}}}$ (right) with ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ profiled (top) and fixed to SM expectation (bottom) using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 14-b:
Observed (solid) and expected (dashed) likelihood scans of ${c_{\mathrm{g} \mathrm{g}}}$ (left) and ${\tilde{c}_{\mathrm{g} \mathrm{g}}}$ (right) with ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ profiled (top) and fixed to SM expectation (bottom) using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 14-c:
Observed (solid) and expected (dashed) likelihood scans of ${c_{\mathrm{g} \mathrm{g}}}$ (left) and ${\tilde{c}_{\mathrm{g} \mathrm{g}}}$ (right) with ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ profiled (top) and fixed to SM expectation (bottom) using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Figure 14-d:
Observed (solid) and expected (dashed) likelihood scans of ${c_{\mathrm{g} \mathrm{g}}}$ (left) and ${\tilde{c}_{\mathrm{g} \mathrm{g}}}$ (right) with ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ profiled (top) and fixed to SM expectation (bottom) using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
| Tables | |
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Table 1:
The cross sections for the anomalous contributions used to define the fractional cross sections. All cross sections are given relative to the SM value ($\sigma _1$). In the case of the $\kappa _{1}$ and $\kappa _{2}^{\mathrm{Z} \gamma}$ couplings, the numerical values $\Lambda _1 = \Lambda _1^{\mathrm{Z} \gamma} = $ 100 GeV are considered so as to keep all coefficients of similar order of magnitude. |
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Table 2:
Kinematic selection requirements for the four di-$\tau $ decay channels. The trigger requirement is defined by a combination of trigger candidates with ${p_{\mathrm {T}}}$ over a given threshold, indicated inside parentheses in GeV. The pseudorapidity thresholds come from trigger and object reconstruction constraints. The $ {p_{\mathrm {T}}} $ thresholds for the lepton selection are driven by the trigger requirements, except for the $ {\tau _\mathrm {h}} $ candidate in the $\mu {\tau _\mathrm {h}} $ and e$ {\tau _\mathrm {h}} $ channels, and the sub-leading lepton in the e$\mu$ channel, where they have been optimized to increase the analysis sensitivity. |
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Table 3:
Sources of systematic uncertainties. |
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Table 4:
List of observables used in the MELA method. |
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Table 5:
List of observables used in the ${\Delta \phi _{jj}}$ method. |
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Table 6:
Allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on anomalous $\mathrm{g} \mathrm{g} \mathrm{H} $ coupling parameters using the $\mathrm{H} \to \tau \tau $ decay. The use of "-" indicates cases where no exclusion at the 95% CL was found. As indicated in the Table, the results are presented for the MELA method, as well as the ${\Delta \phi _{jj}}$ method for comparison. The final results of this study are from the MELA method. |
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Table 7:
Allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on anomalous $\mathrm{H} \mathrm {V}\mathrm {V}$ coupling parameters using the $\mathrm{H} \to \tau \tau $ decay. Approaches 1 and 2 refer to the choice of the relationship between the $a_i^{\mathrm{W} \mathrm{W}}$ and $a_i^{\mathrm{Z} \mathrm{Z}}$ couplings, defined in Section 2. |
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Table 8:
Allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on anomalous $\mathrm{H} \mathrm{V} \mathrm{V} $ coupling parameters using the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels, using two approaches described in Section 2 that define the relationship between the $a_i^{\mathrm{W} \mathrm{W}}$ and $a_i^{\mathrm{Z} \mathrm{Z}}$ couplings. |
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Table 9:
Allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on ${f_{a3}^{\mathrm{g} \mathrm{g} \mathrm{H}}}$, from the combination of the $\mathrm{H} \to \tau \tau $ and $\mathrm{H} \to 4\ell $ [21] decay channels, and ${f_{\mathrm {CP}}^{\mathrm{H} \mathrm{t} \mathrm{t}}}$, from the combination of the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. |
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Table 10:
Allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on ${c_{\mathrm{g} \mathrm{g}}}$ and ${\tilde{c}_{\mathrm{g} \mathrm{g}}}$ using the $\mathrm{H} \to \tau \tau $, $\mathrm{H} \to 4\ell $ [21], and $\mathrm{H} \to \gamma \gamma $ [22] decay channels. Results are presented for two scenarios: ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ profiled in the fit, and ${\kappa _\mathrm {t}}$ and ${\tilde{\kappa}_\mathrm {t}}$ fixed to the SM expectation. |
| Summary |
| A study is presented of anomalous interactions of the H boson with vector bosons, including CP violation, using its associated production with two hadronic jets in gluon fusion, vector boson fusion, and associated production with a vector boson, and a subsequent decay to a pair of $\tau$ leptons. Constraints have been set on the CP violating effects in ggH production in terms of the effective cross section ratio ${f_{a3}^{\mathrm{g}\mathrm{g}\mathrm{H}}}$ and mixing angle ${\alpha^{\mathrm{H}\mathrm{ff}}} $ using both azimuthal correlations of the two leading hadronic jets in the events and matrix element techniques. Both methods yield comparable expected sensitivities and result in the most stringent limits on CP violation in ggH production followed by $\mathrm{H}\to\tau\tau$ decays to date. In the VBF and VH production analysis, constraints on the CP-violating parameter ${f_{a3}}$ and on the CP-conserving parameters ${f_{a2}} $, ${f_{\Lambda 1}} $, and ${f_{\Lambda 1}^{\mathrm{Z}\gamma}}$ have been set using matrix element techniques. Further constraints were obtained in the combination of the $\mathrm{H}\to\tau\tau$, $\mathrm{H}\to 4\ell$, and $\mathrm{H}\to\gamma\gamma$ final states. The combination improves the limits on the anomalous coupling parameters typically by about 20-50%. The analysis excludes the pure CP-odd Hgg coupling scenario with a significance in excess of 2$\sigma$ for the first time. |
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