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CMS-PAS-TOP-22-006
Search for new physics in top quark production with additional leptons in the context of effective field theory using 138 fb$ ^{-1} $ of proton-proton collisions at $ \sqrt{s} $ = 13 TeV
Abstract: A search for new physics in top quark production with additional final-state leptons is performed with 138 fb$^{-1}$ of proton-proton collisions at $ \sqrt{s} = $ 13 TeV at the LHC, collected by the CMS detector during 2016, 2017, and 2018. Using the framework of effective field theory (EFT), potential new physics effects are parametrized in terms of 26 dimension-six EFT operators. EFT effects are incorporated into the event weights of the simulated samples, allowing detector-level predictions that account for correlations and interference effects among EFT operators and between EFT operators and standard model processes. The data are divided into several categories based on lepton multiplicity, total lepton charge, jet multiplicities, and b tagged jet multiplicities. Kinematic variables corresponding to the transverse momentum ($ p_{\mathrm{T}} $) of the leading pair of leptons and jets as well as the $ p_{\mathrm{T}} $ of on-shell Z bosons are used to extract the 95% confidence intervals of the 26 dimension-six EFT operators. No significant deviation with respect to the standard model prediction was found.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Summary of the event selection categorization. The details for the selection requirements are described in Sections 5.1, 5.2, and 5.3.

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Figure 2:
Expected yields prefit (top) and postfit (bottom). All kinematic variables and b jets categories have been combined, resulting in distributions for the jet multiplicity only. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature.

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Figure 2-a:
Expected yields prefit (top) and postfit (bottom). All kinematic variables and b jets categories have been combined, resulting in distributions for the jet multiplicity only. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature.

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Figure 2-b:
Expected yields prefit (top) and postfit (bottom). All kinematic variables and b jets categories have been combined, resulting in distributions for the jet multiplicity only. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature.

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Figure 2-c:
Expected yields prefit (top) and postfit (bottom). All kinematic variables and b jets categories have been combined, resulting in distributions for the jet multiplicity only. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature.

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Figure 3:
Expected yields prefit. All kinematic variables are shown. Each event category (e.g. 2$ \ell $ss) is sub-divided into its jet multiplcity components. For example, the first four sub-bins of the 2$ \ell $ss bin are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for four jets, the next four sub-bins are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for 5 jets, etc. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature. All yields are plotted on a log scale.

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Figure 3-a:
Expected yields prefit. All kinematic variables are shown. Each event category (e.g. 2$ \ell $ss) is sub-divided into its jet multiplcity components. For example, the first four sub-bins of the 2$ \ell $ss bin are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for four jets, the next four sub-bins are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for 5 jets, etc. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature. All yields are plotted on a log scale.

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Figure 3-b:
Expected yields prefit. All kinematic variables are shown. Each event category (e.g. 2$ \ell $ss) is sub-divided into its jet multiplcity components. For example, the first four sub-bins of the 2$ \ell $ss bin are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for four jets, the next four sub-bins are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for 5 jets, etc. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature. All yields are plotted on a log scale.

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Figure 4:
Expected yields postfit. All kinematic variables are shown. Each event category (e.g. 2$ \ell $ss) is sub-divided into its jet multiplcity components. For example, the first four sub-bins of the 2$ \ell $ss bin are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for four jets, the next four sub-bins are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for 5 jets, etc. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature. All yields are plotted on a log scale.

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Figure 4-a:
Expected yields postfit. All kinematic variables are shown. Each event category (e.g. 2$ \ell $ss) is sub-divided into its jet multiplcity components. For example, the first four sub-bins of the 2$ \ell $ss bin are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for four jets, the next four sub-bins are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for 5 jets, etc. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature. All yields are plotted on a log scale.

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Figure 4-b:
Expected yields postfit. All kinematic variables are shown. Each event category (e.g. 2$ \ell $ss) is sub-divided into its jet multiplcity components. For example, the first four sub-bins of the 2$ \ell $ss bin are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for four jets, the next four sub-bins are the $ {p_{\mathrm{T}}}\mathrm{(\ell j 0)} $ variable for 5 jets, etc. The postfit values are obtained by simultaneously fitting all 26 WCs and the NPs. The process labeled ``Conv." corresponds to the photon conversion background, ``Misid. leptons" corresponds to misidentified leptons, and ``Charge misid." corresponds to leptons with a mismeasured charge. The lower panel contains the ratios of the observed yields over the expected. The error bands correspond to NP and WC uncertainties added in quadrature. All yields are plotted on a log scale.

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Figure 5:
Summary of CIs extracted from the likelihood fits described in Section 7. WC 1 $ \sigma $ (thick line) and 2 $ \sigma $ (thin line) uncertainty intervals are shown for the case where the other WCs are profiled (in black), and the case where the other WCs are fixed to their SM values of zero (in red). To make the figure more readable, the intervals for $c_{\mathrm{t}\varphi}$ were scaled by 1/5, the intervals for $c_{\varphi\mathrm{t}}$ and $c^{-}_{\varphi\mathrm{Q}}$ were scaled by 1/2, the intervals for $c_{\mathrm{tG}}$ were scaled by 2, and the intervals for $c^{1}_{\mathrm{tq}}$, $c^{11}_{\mathrm{Qq}}$, $c^{38}_{\mathrm{Qq}}$, and $c^{31}_{\mathrm{Qq}}$ were all scaled by 5.

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Figure 6:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tW}}$ and $c_{\mathrm{tZ}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 6-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tW}}$ and $c_{\mathrm{tZ}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 6-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tW}}$ and $c_{\mathrm{tZ}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 6-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tW}}$ and $c_{\mathrm{tZ}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 7:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tG}}$ and $c_{\mathrm{t}\varphi}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 7-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tG}}$ and $c_{\mathrm{t}\varphi}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 7-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tG}}$ and $c_{\mathrm{t}\varphi}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 7-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c_{\mathrm{tG}}$ and $c_{\mathrm{t}\varphi}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 8:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and \eftOp1$ \mathrm{t} \mathrm{t} ${c} with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 8-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and \eftOp1$ \mathrm{t} \mathrm{t} ${c} with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 8-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and \eftOp1$ \mathrm{t} \mathrm{t} ${c} with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 8-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and \eftOp1$ \mathrm{t} \mathrm{t} ${c} with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 9:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 9-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 9-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 9-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{Qt}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 10:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 10-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 10-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 10-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{8}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 11:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{1}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 11-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{1}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 11-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{1}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 11-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{1}_{\mathrm{QQ}}$ and $c^{1}_{\mathrm{Qt}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 12:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{-}_{\varphi\mathrm{Q}}$ and $c_{\varphi\mathrm{t}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 12-a:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{-}_{\varphi\mathrm{Q}}$ and $c_{\varphi\mathrm{t}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 12-b:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{-}_{\varphi\mathrm{Q}}$ and $c_{\varphi\mathrm{t}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.

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Figure 12-c:
The observed 68.3%, 95.5%, and 99.7% confidence contours of a 2D scan for $c^{-}_{\varphi\mathrm{Q}}$ and $c_{\varphi\mathrm{t}}$ with the other WCs profiled (left), and fixed to their SM values (right). Diamond markers show the SM prediction.
Tables

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Table 1:
List of WCs included in this analysis. The definitions of the WCs and the definitions of the corresponding operators can be found in Table 1 of Ref. [18]. Note that in order to allow MadGraph-5\_aMC@NLO to properly handle the emission of gluons from the vertices involving the $c_{\mathrm{tG}}$ WC, an extra factor of the strong coupling is applied to the $c_{\mathrm{tG}}$ coefficients.

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Table 2:
NLO theoretical cross sections used for normalizing the signal simulation samples.

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Table 3:
Object requirements for the 43 event selection categories. Requirements separated by commas indicate a division into subcategories. The kinematical variable that is used in the event category is also listed (Section 5.4 provides further details regarding the kinematical distributions).

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Table 4:
The 2 $ \sigma $ uncertainty intervals extracted from the likelihood fits described in Section 7. The intervals are shown for the case where the other WCs are profiled, and the case where the other WCs are fixed to their SM values of zero.

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Table 5:
The 1 $ \sigma $ uncertainty intervals extracted from the likelihood fits described in Section 7. The intervals are shown for the case where the other WCs are profiled, and the case where the other WCs are fixed to their SM values of zero.

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Table 6:
Summary of categories that provide leading contributions to the sensitivity for subsets of the WCs.
Summary
A search for new physics in the production of one or more top quarks with additional leptons, jets, and b jets in the context of effective field theory (EFT) has been performed. The events come from proton-proton collisions with a center-of-mass-energy of 13TeV corresponding to an integrated luminosity of 138 fb$^{-1}$. The expected yields were parameterized in terms of 26 Wilson coefficients (WCs) corresponding to different EFT operators. EFT effects are incorporated into the event weights of the simulated samples, allowing detector-level predictions that account for correlations and interference effects among EFT operators and between EFT operators and standard model (SM) processes. The WCs were simultaneously fit to the data. Confidence intervals were extracted for the WCs either individually or in pairs by scanning the likelihood with the other WCs either profiled or held at their SM values of zero. In all cases, the data are found to be consistent with the SM expectations.
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