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CMS-B2G-16-028 ; CERN-EP-2018-019
Search for third-generation scalar leptoquarks decaying to a top quark and a $\tau$ lepton at $\sqrt{s} = $ 13 TeV
Eur. Phys. J. C 78 (2018) 707
Abstract: A search for pair production of heavy scalar leptoquarks (LQs), each decaying into a top quark and a $\tau$ lepton, is presented. The search considers final states with an electron or a muon, one or two $\tau$ leptons that decayed to hadrons, and additional jets. The data were collected in 2016 in proton-proton collisions at $\sqrt{s} = $ 13 TeV with the CMS detector at the LHC, and correspond to an integrated luminosity of 35.9 fb$^{-1}$. No evidence for pair production of LQs is found. Assuming a branching fraction of unity for the decay $\mathrm{LQ} \to \mathrm{t} \tau$, upper limits on the production cross section are set as a function of LQ mass, excluding masses below 900 GeV at 95% confidence level. These results provide the most stringent limits to date on the production of scalar LQs that decay to a top quark and a $\tau$ lepton.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Dominant leading order Feynman diagrams for the production of leptoquark pairs in proton-proton collisions.

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Figure 1-a:
Dominant leading order Feynman diagram for the production of leptoquark pairs in proton-proton collisions.

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Figure 1-b:
Dominant leading order Feynman diagram for the production of leptoquark pairs in proton-proton collisions.

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Figure 1-c:
Dominant leading order Feynman diagram for the production of leptoquark pairs in proton-proton collisions.

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Figure 1-d:
Dominant leading order Feynman diagram for the production of leptoquark pairs in proton-proton collisions.

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Figure 2:
Shape comparison between the signal region A and the corresponding control region, as a function of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $, for simulated $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and $ {\mathrm {W}}$+jets events. Events with an opposite-sign $\mu {{\tau} _\mathrm {h}} $ pair are shown on the left, while those with a same-sign $\mu {{\tau} _\mathrm {h}} $ pair are shown on the right. The full selection is applied and the $ {S_{\mathrm {T}}} $ categories are combined. All histograms are normalized to the total number of entries. Uncertainties of the signal region and control region are indicated by red error bars and gray hatched areas, respectively. The gray band in the ratio plot corresponds to the statistical uncertainty in the simulated samples.

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Figure 2-a:
Shape comparison between the signal region A and the corresponding control region, as a function of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $, for simulated $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and $ {\mathrm {W}}$+jets events. Events with an opposite-sign $\mu {{\tau} _\mathrm {h}} $ pair are shown. The full selection is applied and the $ {S_{\mathrm {T}}} $ categories are combined. Histograms are normalized to the total number of entries. Uncertainties of the signal region and control region are indicated by red error bars and gray hatched areas, respectively. The gray band in the ratio plot corresponds to the statistical uncertainty in the simulated samples.

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Figure 2-b:
Shape comparison between the signal region A and the corresponding control region, as a function of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $, for simulated $ {{\mathrm {t}\overline {\mathrm {t}}}} $ and $ {\mathrm {W}}$+jets events. Events with a same-sign $\mu {{\tau} _\mathrm {h}} $ pair are shown. The full selection is applied and the $ {S_{\mathrm {T}}} $ categories are combined. Histograms are normalized to the total number of entries. Uncertainties of the signal region and control region are indicated by red error bars and gray hatched areas, respectively. The gray band in the ratio plot corresponds to the statistical uncertainty in the simulated samples.

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Figure 3:
Strategy for the background estimation in category B. The $ {{{\mathrm {t}\overline {\mathrm {t}}}} _{\mathrm {f}}} $ background in the signal region is derived from the control region ${\mathrm {CR}_{\mathrm {B1}}}$. The $ {{{\mathrm {t}\overline {\mathrm {t}}}} _{\mathrm {p+f}}} $ background in the signal region is derived from the control region ${\mathrm {CR}_{\mathrm {B2}}}$. To obtain an estimate of the $ {{{\mathrm {t}\overline {\mathrm {t}}}} _{\mathrm {f}}} $ background in the control region ${\mathrm {CR}_{\mathrm {B2}}}$, the control region ${\mathrm {CR}_{\mathrm {B1}}}$ is used.

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Figure 4:
Distributions of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the electron channel passing the full selection in category A. The events are separated into OS (upper), SS (lower), low $ {S_{\mathrm {T}}} $ (left) and high $ {S_{\mathrm {T}}} $ (right) categories. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 4-a:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the electron channel passing the full selection in category A, in the OS category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 4-b:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the electron channel passing the full selection in category A, in the SS category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 4-c:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the electron channel passing the full selection in category A, in the low $ {S_{\mathrm {T}}} $ category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 4-d:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the electron channel passing the full selection in category A, in the high $ {S_{\mathrm {T}}} $ category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 5:
Distributions of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the muon channel passing the full selection in category A. The events are separated into OS (upper), SS (lower), low $ {S_{\mathrm {T}}} $ (left) and high $ {S_{\mathrm {T}}} $ (right) categories. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 5-a:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the muon channel passing the full selection in category A, in the OS category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 5-b:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the muon channel passing the full selection in category A, in the SS category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 5-c:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the muon channel passing the full selection in category A, in the low $ {S_{\mathrm {T}}} $ category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 5-d:
Distribution of $ {p_{\mathrm {T}}^{{\mathrm {t}}}} $ for events in the muon channel passing the full selection in category A, in the high $ {S_{\mathrm {T}}} $ category. The hatched areas represent the total uncertainties of the SM background. In the bottom panel, the ratio of data to SM background is shown together with statistical (dark gray) and total (light gray) uncertainties of the total SM background.

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Figure 6:
Upper limits at 95% confidence level on the product of the cross section and the branching fraction squared (left), and on the leptoquark mass as a function of the branching fraction (right), for the pair production of scalar LQs decaying to a top quark and a $\tau $ lepton. In the left plot, the theoretical curve corresponds to the NLO cross section with uncertainties from PDF and scale variations [24], shown by the dotted lines. The right plot additionally includes results from a search for pair-produced bottom squarks [38].

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Figure 6-a:
Upper limits at 95% confidence level on the product of the cross section and the branching fraction squared, for the pair production of scalar LQs decaying to a top quark and a $\tau $ lepton. The theoretical curve corresponds to the NLO cross section with uncertainties from PDF and scale variations [24], shown by the dotted lines.

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Figure 6-b:
Upper limits at 95% confidence level on the leptoquark mass as a function of the branching fraction, for the pair production of scalar LQs decaying to a top quark and a $\tau $ lepton. The plot additionally includes results from a search for pair-produced bottom squarks [38].
Tables

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Table 1:
Summary of selection criteria in event categories A ($\ell {{\tau} _\mathrm {h}} $+jets) and B ($\ell {{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}} $+jets), where $\ell = \mu$, e. In category A, the two subcategories, OS and SS, are defined by the charge of the $\ell \tau _h$ pair. The fit variable used in each category is also shown.

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Table 2:
Summary of largest systematic uncertainties for the $ {{{\mathrm {t}\overline {\mathrm {t}}}} _{\mathrm {f}}} $ (and W+jets) and $ {{{\mathrm {t}\overline {\mathrm {t}}}} _{\mathrm {p+f}}} $ backgrounds derived from data, for the $ {{{\mathrm {t}\overline {\mathrm {t}}}} _{\mathrm {p}}} $ background obtained from simulation and for a leptoquark signal with a mass of 700 GeV. Shown are the ranges of uncertainties, which are dependent on the search regions and the lepton channel type.

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Table 3:
Final event yield in category B in the muon and electron channels for different leptoquark mass hypotheses, the background processes, and data. The total uncertainties for the signal and the background processes are shown.
Summary
A search has been conducted for pair production of third-generation scalar leptoquarks ($ {\mathrm{LQ}_3} $s) decaying into a top quark and a $\tau$ lepton. Proton-proton collision data recorded in 2016 at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$, has been analyzed. The search has been carried out in the $\ell {\tau_\mathrm{h}}$+jets and $\ell {\tau_\mathrm{h}} {\tau_\mathrm{h}}$+jets channels, where $\ell$ is either an electron or muon and ${\tau_\mathrm{h}}$ indicates a tau lepton decaying to hadrons. Standard model backgrounds due to misidentified $ {\tau_\mathrm{h}} $ leptons are derived from control regions. The measured transverse momentum distributions for the reconstructed top quark candidate are analyzed in four search regions in the $\ell {\tau_\mathrm{h}}$+jets channel. The observed number of events are found to be in agreement with the background predictions.

Upper limits on the production cross section of $ {\mathrm{LQ}_3} $ pairs are set between 0.6 and 0.01 pb at 95% confidence level for $ {\mathrm{LQ}_3} $ masses between 300 and 1500 GeV, assuming a branching fraction of $\mathcal{B} = $ 1. The scalar $ {\mathrm{LQ}_3} $s are excluded with masses below 900 GeV, for $\mathcal{B}= $ 1. This result represents the most stringent limits to date on $ {\mathrm{LQ}_3} $s coupled to $\tau$ leptons and top quarks and constrains models explaining flavor anomalies in the $ \mathrm{b} $ quark sector through contributions from scalar LQs.
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