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CMS-PAS-TOP-19-006
Search for charged lepton flavor violation in top quark production and decay in proton-proton collisions at $\sqrt{s}= $ 13 TeV
Abstract: The result of a search for charged lepton flavor violation (CLFV) through top quark production and decay in proton-proton collisions at a center-of-mass energy of 13 TeV is presented. The search is performed in events with an oppositely charged electron-muon pair in the final state along with at least one jet identified as originating from a bottom quark. The data correspond to an integrated luminosity of 137 fb$^{-1}$, collected by the CMS experiment at the CERN LHC in 2016-2018. The CLFV interactions of top quarks are parametrized using an effective field theory (EFT) approach. In this analysis, we emphasize the importance of single top quark production via CLFV interactions, in addition to the $ \mathrm{t}\rightarrow \mathrm{e}\mu \mathrm{q}$ (q = u, c) decays. No significant excess over the standard model expectation is observed. The results are interpreted in terms of scalar-, vector- and tensor-like CLFV four-fermion EFT interactions. Exclusion limits at 95% confidence level on the branching fractions of a top quark decaying to an e$\mu$ pair and an up (a charm) quark are found to be 0.12 $\times$ 10$^{-6}$ (1.59 $\times$ 10$^{-6}$), 0.24 $\times$ 10$^{-6}$ (2.55 $\times $ 10$^{-6}$), 0.46 $\times$ 10$^{-6}$ (4.62 $\times $ 10$^{-6}$) for the scalar, vector and tensor CLFV interaction types, respectively.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Feynman diagrams for single top quark production (left and middle) and top quark decays in ${\mathrm{t} {}\mathrm{\bar{t}}}$ events (right) via CLFV interactions. The CLFV vertex is marked as a filled circle.

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Figure 2:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 2-a:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 2-b:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 2-c:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 2-d:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 2-e:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 2-f:
The distributions of leading lepton ${p_{\mathrm {T}}}$ (upper row), $\Delta $R($\ell _1,\, \ell _2$) (middle row), and ${{p_{\mathrm {T}}} ^\text {miss}}$ (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 3:
The distributions of leading jet ${p_{\mathrm {T}}}$ (upper row), and the number of jets (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 3-a:
The distributions of leading jet ${p_{\mathrm {T}}}$ (upper row), and the number of jets (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 3-b:
The distributions of leading jet ${p_{\mathrm {T}}}$ (upper row), and the number of jets (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 3-c:
The distributions of leading jet ${p_{\mathrm {T}}}$ (upper row), and the number of jets (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 3-d:
The distributions of leading jet ${p_{\mathrm {T}}}$ (upper row), and the number of jets (lower row) are shown for data (points) and simulation (histograms). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Overflow events are added to the last bin. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 4:
BDT output distributions are shown for data (points) and simulation (histograms) with the pre-fit background prediction (upper row) and post-fit background prediction (lower row). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 4-a:
BDT output distributions are shown for data (points) and simulation (histograms) with the pre-fit background prediction (upper row) and post-fit background prediction (lower row). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 4-b:
BDT output distributions are shown for data (points) and simulation (histograms) with the pre-fit background prediction (upper row) and post-fit background prediction (lower row). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 4-c:
BDT output distributions are shown for data (points) and simulation (histograms) with the pre-fit background prediction (upper row) and post-fit background prediction (lower row). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 4-d:
BDT output distributions are shown for data (points) and simulation (histograms) with the pre-fit background prediction (upper row) and post-fit background prediction (lower row). Events with one (more than one) b-tagged jet are shown in the left (right) column. The hatched band indicates the total uncertainty (statistical and systematic) for the SM background predictions. Examples of the predicted signal contribution for the vector type CLFV via $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ and $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ vertices are shown, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$^{-2}$. The $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ signal cross section is scaled by a factor of 10 for improved visualization. The lower panels show the ratio of data over the prediction with the total uncertainty.

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Figure 5:
The observed 95% exclusion limits on $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ Wilson coefficient as a function of $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ Wilson coefficient (left) and $\mathcal {B}(\mathrm{t} \to \mathrm{e} \mu \mathrm{c})$ as a function of $\mathcal {B}(\mathrm{t} \to \mathrm{e} \mu \mathrm{u})$ (right) for the scalar, vector and tensor like CLFV interactions.

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Figure 5-a:
The observed 95% exclusion limits on $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ Wilson coefficient as a function of $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ Wilson coefficient (left) and $\mathcal {B}(\mathrm{t} \to \mathrm{e} \mu \mathrm{c})$ as a function of $\mathcal {B}(\mathrm{t} \to \mathrm{e} \mu \mathrm{u})$ (right) for the scalar, vector and tensor like CLFV interactions.

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Figure 5-b:
The observed 95% exclusion limits on $\mathrm{e} \mu \mathrm{t} \mathrm{c} $ Wilson coefficient as a function of $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ Wilson coefficient (left) and $\mathcal {B}(\mathrm{t} \to \mathrm{e} \mu \mathrm{c})$ as a function of $\mathcal {B}(\mathrm{t} \to \mathrm{e} \mu \mathrm{u})$ (right) for the scalar, vector and tensor like CLFV interactions.
Tables

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Table 1:
The number of expected events from ${\mathrm{t} {}\mathrm{\bar{t}}}$, tW, and from the remaining backgrounds (other), the total background contribution and the observed events in data, collected during three years (2016, 2017, and 2018), after all selections for signal (1 b-tagged) and control ($ > $1 b-tagged) regions. The expected signal yields for single top quark production and top quark decays via the scalar, vector and tensor CLFV interactions, assuming $\text {C}_x/\Lambda ^2 = $ 1 TeV$ ^{-2}$ are also shown. The uncertainties correspond to the statistical contribution only.

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Table 2:
Summary of representative systematic uncertainties on the selection efficiency for the ${\mathrm{t} {}\mathrm{\bar{t}}}$ process and for the signal processes: single top quark production and top quark decays via vector $\mathrm{e} \mu \mathrm{t} \mathrm{u} $ CLFV interactions in the signal and ${\mathrm{t} {}\mathrm{\bar{t}}}$ control regions.

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Table 3:
Expected/Observed upper limits on the signal cross sections (production + decay), CLFV Wilson coefficients, and top quark CLFV branching ratios are shown for all three years combined. For expected limits [$-1\sigma, +1\sigma $] and ($-2\sigma, +2\sigma $) ranges are shown.
Summary
The result of a search for charged lepton flavor violation (CLFV) in top quark production and decay has been presented. The search is performed using proton-proton collisions collected by the CMS detector at the LHC at a center-of-mass energy of 13 TeV, and corresponds to an integrated luminosity of 137 fb$^{-1}$. No significant excess over the SM prediction is observed. Within the effective field theory framework, upper limits are set on individual relevant Wilson coefficients. Limits on the Wilson coefficients are converted to limits on the branching fractions of the top quark $\mathcal{B}_{\text{scalar}}(\mathrm{t} \to \mathrm{e}\mu \mathrm{u} (\mathrm{c})) < $ 0.07 $\times$ 10$^{-6}$ (0.89 $\times$ 10$^{-6}$), $\mathcal{B}_{\text{vector}}(\mathrm{t} \to \mathrm{e}\mu \mathrm{u} (\mathrm{c})) < $ 0.135 $\times$ 10$^{-6}$ (1.3 $\times$ 10$^{-6}$), and $\mathcal{B}_{\text{tensor}}(\mathrm{t} \to \mathrm{e}\mu \mathrm{u} (\mathrm{c})) < $ 0.25 $\times$ 10$^{-6}$ (2.59 $\times$ 10$^{-6}$), which are the most restrictive bounds to date.
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Compact Muon Solenoid
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