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CMS-EXO-19-015 ; CERN-EP-2020-216
Search for singly and pair-produced leptoquarks coupling to third-generation fermions in proton-proton collisions at $\sqrt{s} = $ 13 TeV
Phys. Lett. B 819 (2021) 136446
Abstract: A search for leptoquarks produced singly and in pairs in proton-proton collisions is presented. The leptoquark (LQ) may be a scalar particle of charge -1/3e coupling to a top quark plus a tau lepton ($\mathrm{t}\tau$) or a bottom quark plus a neutrino (b$\nu$), or a vector particle of charge +2/3e, coupling to t$\nu$ or b$\tau$. In this analysis the signatures t$\tau\nu$b and t$\tau\nu$ are probed, using data recorded by the CMS experiment at the CERN LHC at $\sqrt{s} = $ 13 TeV and that correspond to an integrated luminosity of 137 fb$^{-1}$. These signatures have not been previously explored in a dedicated search. The data are found to be in agreement with the standard model prediction. Lower limits at 95% confidence level are set on the LQ mass in the range 0.98-1.73 TeV, depending on the LQ spin and its coupling $\lambda$ to a lepton and a quark, and assuming equal branching fractions for the two LQ decay modes considered. These are the most stringent constraints to date on the existence of leptoquarks in this scenario.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Main Feynman diagrams for leptoquark production and decay: pairwise (left), and in combination with a lepton (right). The leptoquark LQ$_{\text {S}}$ may couple to t$ \tau $ or b$ \nu $, while LQ$_{\text {V}}$ may couple to t$ \nu $ or b$ \tau $.

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Figure 2:
Distribution of the variable ${S_{\mathrm {T}}}$ for events passing the signal selection for the SM background estimation (stacked filled histograms), data (black points), and different hypotheses of LQ signals (lines). Upper left: boosted top quark candidate (hadronically decaying top quark reconstructed in the fully or partially merged topology) and exactly one b jets; lower left: boosted top quark candidate and at least two b jets; upper right: resolved top quark candidate (hadronically decaying top quark reconstructed in the resolved topology) and exactly one b jets; lower-right: resolved top quark candidate and at least two b jets. The cross-hatched band in the upper panels represents the total uncertainty (statistical+systematic). The lower panel of each distribution shows the ratio, and its uncertainty, between the observation and the SM expectation.

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Figure 2-a:
Distribution of the variable ${S_{\mathrm {T}}}$ for events passing the signal selection for the SM background estimation (stacked filled histograms), data (black points), and different hypotheses of LQ signals (lines), for a boosted top quark candidate (hadronically decaying top quark reconstructed in the fully or partially merged topology) and exactly one b jets. The cross-hatched band in the upper panel represents the total uncertainty (statistical+systematic). The lower panel of shows the ratio, and its uncertainty, between the observation and the SM expectation.

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Figure 2-b:
Distribution of the variable ${S_{\mathrm {T}}}$ for events passing the signal selection for the SM background estimation (stacked filled histograms), data (black points), and different hypotheses of LQ signals (lines), for a boosted top quark candidate and at least two b jets. The cross-hatched band in the upper panel represents the total uncertainty (statistical+systematic). The lower panel of shows the ratio, and its uncertainty, between the observation and the SM expectation.

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Figure 2-c:
Distribution of the variable ${S_{\mathrm {T}}}$ for events passing the signal selection for the SM background estimation (stacked filled histograms), data (black points), and different hypotheses of LQ signals (lines), for a resolved top quark candidate (hadronically decaying top quark reconstructed in the resolved topology) and exactly one b jets. The cross-hatched band in the upper panel represents the total uncertainty (statistical+systematic). The lower panel of shows the ratio, and its uncertainty, between the observation and the SM expectation.

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Figure 2-d:
Distribution of the variable ${S_{\mathrm {T}}}$ for events passing the signal selection for the SM background estimation (stacked filled histograms), data (black points), and different hypotheses of LQ signals (lines), in the topology for a resolved top quark candidate and at least two b jets. The cross-hatched band in the upper panel represents the total uncertainty (statistical+systematic). The lower panel of shows the ratio, and its uncertainty, between the observation and the SM expectation.

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Figure 3:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {S}}} {\overline {{\text {LQ}}}_{\text {S}}})$ (upper), $\sigma ({\mathrm{p}} \to \nu {\text {LQ}_{\text {S}}})$ with $\lambda = $ 1.5 and 2.5 (middle left and right), and $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {S}}} {\overline {{\text {LQ}}}_{\text {S}}})+\sigma ({\mathrm{p}} \to \nu {\text {LQ}_{\text {S}}})$ with $\lambda = $ 1.5 and 2.5 (lower left and right), as a function of the mass of the LQ$_{\text {S}}$. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO, except for pair-produced LQ$_{\text {S}}$, for which an NLO calculation [44] is shown.

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Figure 3-a:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {S}}} {\overline {{\text {LQ}}}_{\text {S}}})$, as a function of the mass of the LQ$_{\text {S}}$. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at NLO [44].

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Figure 3-b:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to \nu {\text {LQ}_{\text {S}}})$ with $\lambda = $ 1.5, as a function of the mass of the LQ$_{\text {S}}$. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 3-c:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to \nu {\text {LQ}_{\text {S}}})$ with $\lambda = $ 2.5, as a function of the mass of the LQ$_{\text {S}}$. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 3-d:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {S}}} {\overline {{\text {LQ}}}_{\text {S}}})+\sigma ({\mathrm{p}} \to \nu {\text {LQ}_{\text {S}}})$ with $\lambda = $ 1.5, as a function of the mass of the LQ$_{\text {S}}$. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 3-e:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {S}}} {\overline {{\text {LQ}}}_{\text {S}}})+\sigma ({\mathrm{p}} \to \nu {\text {LQ}_{\text {S}}})$ with $\lambda = $ 2.5, as a function of the mass of the LQ$_{\text {S}}$. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 4:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})$ (upper), $\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5 and 2.5 (middle left and right), and $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})+\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5 and 2.5 (lower left and right), as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 0. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 4-a:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})$, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 0. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 4-b:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 0. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 4-c:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 2.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 0. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 4-d:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})+\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 0. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

png pdf
Figure 4-e:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})+\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 2.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 0. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

png pdf
Figure 5:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})$ (upper), $\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5 and 2.5 (middle left and right), and $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})+\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5 and 2.5 (lower left and right), as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 1. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 5-a:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})$, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 1. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

png pdf
Figure 5-b:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 1. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

png pdf
Figure 5-c:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 2.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 1. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

png pdf
Figure 5-d:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})+\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 1.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 1. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

png pdf
Figure 5-e:
The observed and expected (solid and dotted black lines) 95% CL upper limits on $\sigma ({\mathrm{p}} \to {\text {LQ}_{\text {V}}} {\overline {{\text {LQ}}}_{\text {V}}})+\sigma ({\mathrm{p}} \to \tau {\text {LQ}_{\text {V}}})$ with $\lambda = $ 2.5, as a function of the mass of the LQ$_{\text {V}}$, with $k = $ 1. The bands represent the one- and two-standard deviation variations of the expected limit. The solid blue curve indicates the theoretical predictions at LO.

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Figure 6:
The observed and expected (solid and dashed lines) 95% CL LQ exclusion limits in the plane of the LQ-lepton-quark coupling and the mass of the LQ for single (brown lines), pair (blue lines) production, and considering their sum (black lines). Regions to the left of the lines are excluded. The upper plot pertains to an LQ$_{\text {S}}$ with equal couplings to t$ \tau $, b$ \nu $, while the lower plots are for an LQ$_{\text {V}}$ assuming $k = $ 0 (left) and 1 (right) and equal couplings to t$ \nu $, b$ \tau $. For LQ$_{\text {V}}$, the gray area shows the band preferred (95% CL) by the B physics anomalies: $\lambda = C m_{\mathrm {LQ}}$, where $C = \sqrt {0.7 \pm 0.2 }$ TeV$ ^{-1}$ and $m_{\mathrm {LQ}}$ is expressed in TeV [42].

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Figure 6-a:
The observed and expected (solid and dashed lines) 95% CL LQ exclusion limits in the plane of the LQ-lepton-quark coupling and the mass of the LQ for single (brown lines), pair (blue lines) production, and considering their sum (black lines). Regions to the left of the lines are excluded. The plot pertains to an LQ$_{\text {S}}$ with equal couplings to t$ \tau $, b$ \nu $.

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Figure 6-b:
The observed and expected (solid and dashed lines) 95% CL LQ exclusion limits in the plane of the LQ-lepton-quark coupling and the mass of the LQ for single (brown lines), pair (blue lines) production, and considering their sum (black lines). Regions to the left of the lines are excluded. The plot is for an LQ$_{\text {V}}$ assuming $k = $ 0 and equal couplings to t$ \nu $, b$ \tau $. The gray area shows the band preferred (95% CL) by the B physics anomalies: $\lambda = C m_{\mathrm {LQ}}$, where $C = \sqrt {0.7 \pm 0.2 }$ TeV$ ^{-1}$ and $m_{\mathrm {LQ}}$ is expressed in TeV [42].

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Figure 6-c:
The observed and expected (solid and dashed lines) 95% CL LQ exclusion limits in the plane of the LQ-lepton-quark coupling and the mass of the LQ for single (brown lines), pair (blue lines) production, and considering their sum (black lines). Regions to the left of the lines are excluded. The plot is for an LQ$_{\text {V}}$ assuming $k = $ 1 and equal couplings to t$ \nu $, b$ \tau $. The gray area shows the band preferred (95% CL) by the B physics anomalies: $\lambda = C m_{\mathrm {LQ}}$, where $C = \sqrt {0.7 \pm 0.2 }$ TeV$ ^{-1}$ and $m_{\mathrm {LQ}}$ is expressed in TeV [42].
Tables

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Table 1:
Yields from the SM background estimation, data, and expected signal, for the selected events.

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Table 2:
Lower limits on the mass in TeV of the leptoquarks LQ$_{\text {S}}$, LQ$_{\text {V}}$ $k = $ 0, and LQ$_{\text {V}}$ $k = $ 1, based on the pair- and single-production mechanisms taken either separately or together. The results of the searches that depend on the $\lambda $ parameter are given for values of 1.5 and 2.5. The expected limits are given in parentheses.
Summary
A search for leptoquarks coupled to third-generation fermions, and produced in pairs and singly in association with a lepton, has been presented. The leptoquark (LQ) may couple to a top quark and a $\tau$ lepton ($\mathrm{t}\tau$) or a bottom quark and a neutrino ($\mathrm{b}\nu$, scalar LQ) or else to $\mathrm{t}\nu$ and $\mathrm{b}\tau$ (vector LQ), resulting in the $\mathrm{t}\tau\nu\mathrm{b}$ and $\mathrm{t}\tau\nu$ signatures. The channel in which both the top quark and the $\tau$ lepton decay hadronically is investigated, including the case of a large LQ-$\mathrm{t}$ mass splitting giving rise to a Lorentz-boosted top quark, whose decay daughters may not be resolved as individual jets. Such a signature has not been previously examined in searches for physics beyond the standard model. The data used corresponds to an integrated luminosity of 137 fb$^{-1}$ collected with the CMS detector at the CERN LHC in proton-proton collisions at $\sqrt{s} = $ 13 TeV. The observations are found to be in agreement with the standard model predictions. Exclusion limits are given in the plane of the LQ-lepton-quark vertex coupling $\lambda$ and the LQ mass for scalar and vector leptoquarks. The range of lower limits on the LQ mass, at 95% confidence level, is 0.98-1.73 TeV, depending on $\lambda$ and the leptoquark spin. These results represent the most stringent limits to date on the existence of such leptoquarks for the case of a decay branching fraction of 0.5 to each lepton-quark pair. They allow a relevant portion of the parameter space preferred by the B-physics anomalies in several models [41,42] to be excluded.
References
1 J. C. Pati and A. Salam Unified lepton-hadron symmetry and a gauge theory of the basic interactions PRD 8 (1973) 1240
2 J. C. Pati and A. Salam Lepton number as the fourth color PRD 10 (1974) 275
3 H. Georgi and S. L. Glashow Unity of all elementary particle forces PRL 32 (1974) 438
4 H. Fritzsch and P. Minkowski Unified interactions of leptons and hadrons Ann. Phys. 93 (1975) 193
5 S. Dimopoulos and L. Susskind Mass without scalars NPB 155 (1979) 237
6 S. Dimopoulos Technicolored signatures NPB 168 (1980) 69
7 E. Farhi and L. Susskind Technicolor PR 74 (1981) 277
8 K. D. Lane and M. V. Ramana Walking technicolor signatures at hadron colliders PRD 44 (1991) 2678
9 B. Schrempp and F. Schrempp Light leptoquarks PLB 153 (1985) 101
10 B. Gripaios Composite leptoquarks at the LHC JHEP 02 (2010) 045 0910.1789
11 G. R. Farrar and P. Fayet Phenomenology of the production, decay, and detection of new hadronic states associated with supersymmetry PLB 76 (1978) 575
12 P. Ramond Dual theory for free fermions PRD 3 (1971) 2415
13 Y. A. Golfand and E. P. Likhtman Extension of the algebra of Poincar$ \'e $ group generators and violation of p invariance JEPTL 13 (1971)323
14 A. Neveu and J. H. Schwarz Factorizable dual model of pions NPB 31 (1971) 86
15 D. V. Volkov and V. P. Akulov Possible universal neutrino interaction JEPTL 16 (1972)438
16 J. Wess and B. Zumino A Lagrangian model invariant under supergauge transformations PLB 49 (1974) 52
17 J. Wess and B. Zumino Supergauge transformations in four dimensions NPB 70 (1974) 39
18 P. Fayet Supergauge invariant extension of the Higgs mechanism and a model for the electron and its neutrino NPB 90 (1975) 104
19 H. P. Nilles Supersymmetry, supergravity and particle physics PR 110 (1984) 1
20 R. Barbier et al. R-parity violating supersymmetry PR 420 (2005) 1 hep-ph/0406039
21 B. Diaz, M. Schmaltz, and Y.-M. Zhong The leptoquark hunter's guide: pair production JHEP 10 (2017) 097 1706.05033
22 M. Schmaltz and Y.-M. Zhong The leptoquark hunter's guide: large coupling JHEP 01 (2019) 132 1810.10017
23 J. Blumlein, E. Boos, and A. Kryukov Leptoquark pair production in hadronic interactions Z. Phys. C 76 (1997) 137 hep-ph/9610408
24 BaBar Collaboration Evidence for an excess of $ \bar{B} \to D^{(*)} \tau^-\bar{\nu}_\tau $ decays PRL 109 (2012) 101802 1205.5442
25 BaBar Collaboration Measurement of an excess of $ \bar{B} \to D^{(*)}\tau^- \bar{\nu}_\tau $ decays and implications for charged Higgs bosons PRD 88 (2013) 072012 1303.0571
26 Belle Collaboration Measurement of the branching ratio of $ \bar{B} \to D^{(\ast)} \tau^- \bar{\nu}_\tau $ relative to $ \bar{B} \to D^{(\ast)} \ell^- \bar{\nu}_\ell $ decays with hadronic tagging at Belle PRD 92 (2015) 072014 1507.03233
27 Belle Collaboration Measurement of the branching ratio of $ \bar{B}^0 \rightarrow D^{*+} \tau^- \bar{\nu}_{\tau} $ relative to $ \bar{B}^0 \rightarrow D^{*+} \ell^- \bar{\nu}_{\ell} $ decays with a semileptonic tagging method PRD 94 (2016) 072007 1607.07923
28 Belle Collaboration Measurement of the $ \tau $ lepton polarization and $ R(D^*) $ in the decay $ \bar{B} \to D^* \tau^- \bar{\nu}_\tau $ PRL 118 (2017) 211801 1612.00529
29 Belle Collaboration Measurement of the $ \tau $ lepton polarization and $ R(D^*) $ in the decay $ \bar{B} \rightarrow D^* \tau^- \bar{\nu}_\tau $ with one-prong hadronic $ \tau $ decays at Belle PRD 97 (2018) 012004 1709.00129
30 Belle Collaboration Measurement of $ \mathcal{R}(D) $ and $ \mathcal{R}(D^*) $ with a semileptonic tagging method PRL 124 (2020) 161803 1910.05864
31 LHCb Collaboration Measurement of the ratio of branching fractions $ \mathcal{B}(\bar{B}^0 \to D^{*+}\tau^{-}\bar{\nu}_{\tau})/\mathcal{B}(\bar{B}^0 \to D^{*+}\mu^{-}\bar{\nu}_{\mu}) $ PRL 115 (2015) 111803 1506.08614
32 LHCb Collaboration Measurement of the ratio of the $ B^0 \to D^{*-} \tau^+ \nu_{\tau} $ and $ B^0 \to D^{*-} \mu^+ \nu_{\mu} $ branching fractions using three-prong $ \tau $-lepton decays PRL 120 (2018) 171802 1708.08856
33 LHCb Collaboration Measurement of the ratio of branching fractions $ \mathcal{B}(B_c^+ \to J/\psi\tau^+\nu_\tau) $/$ \mathcal{B}(B_c^+ \to J/\psi\mu^+\nu_\mu) $ PRL 120 (2018) 121801 1711.05623
34 Belle Collaboration Lepton-flavor-dependent angular analysis of $ B\to K^\ast \ell^+\ell^- $ PRL 118 (2017) 111801 1612.05014
35 LHCb Collaboration Measurement of form-factor-independent observables in the decay $ B^{0} \to K^{*0} \mu^+ \mu^- $ PRL 111 (2013) 191801 1308.1707
36 LHCb Collaboration Differential branching fractions and isospin asymmetries of $ B \to K^{(*)} \mu^+ \mu^- $ decays JHEP 06 (2014) 133 1403.8044
37 LHCb Collaboration Test of lepton universality using $ B^{+}\rightarrow K^{+}\ell^{+}\ell^{-} $ decays PRL 113 (2014) 151601 1406.6482
38 LHCb Collaboration Angular analysis of the $ B^{0} \to K^{*0} \mu^{+} \mu^{-} $ decay using 3 fb$ ^{-1} $ of integrated luminosity JHEP 02 (2016) 104 1512.04442
39 LHCb Collaboration Angular analysis and differential branching fraction of the decay $ B^0_s\to\phi\mu^+\mu^- $ JHEP 09 (2015) 179 1506.08777
40 LHCb Collaboration Test of lepton universality with $ B^{0} \rightarrow K^{*0}\ell^{+}\ell^{-} $ decays JHEP 08 (2017) 055 1705.05802
41 LHCb Collaboration Search for lepton-universality violation in $ B^+\to K^+\ell^+\ell^- $ decays PRL 122 (2019) 191801 1903.09252
42 E. Alvarez et al. A composite pNGB leptoquark at the LHC JHEP 12 (2018) 027 1808.02063
43 D. Buttazzo, A. Greljo, G. Isidori, and D. Marzocca B-physics anomalies: a guide to combined explanations JHEP 11 (2017) 044 1706.07808
44 W. Buchmuller, R. Ruckl, and D. Wyler Leptoquarks in lepton-quark collisions PLB 191 (1987) 442
45 I. Dorsner and A. Greljo Leptoquark toolbox for precision collider studies JHEP 05 (2018) 126 1801.07641
46 ATLAS Collaboration Search for third generation scalar leptoquarks in pp collisions at $ \sqrt{s} = $ 7 TeV with the ATLAS detector JHEP 06 (2013) 033 1303.0526
47 ATLAS Collaboration Searches for scalar leptoquarks in pp collisions at $ \sqrt{s} = $ 8 TeV with the ATLAS detector EPJC 76 (2016) 1508.04735
48 ATLAS Collaboration Searches for third-generation scalar leptoquarks in $ \sqrt{s} = $ 13 TeV pp collisions with the ATLAS detector JHEP 06 (2019) 144 1902.08103
49 CMS Collaboration Constraints on models of scalar and vector leptoquarks decaying to a quark and a neutrino at $ \sqrt{s}= $ 13 TeV PRD 98 (2018) 032005 CMS-SUS-18-001
1805.10228
50 CMS Collaboration Search for third-generation scalar leptoquarks decaying to a top quark and a $ \tau $ lepton at $ \sqrt{s}= $ 13 TeV EPJC 78 (2018) 707 CMS-B2G-16-028
1803.02864
51 CMS Collaboration Search for leptoquarks coupled to third-generation quarks in proton-proton collisions at $ \sqrt{s}= $ 13 TeV PRL 121 (2018) 241802 CMS-B2G-16-027
1809.05558
52 CMS Collaboration Search for heavy neutrinos and third-generation leptoquarks in hadronic states of two $ \tau $ leptons and two jets in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 03 (2019) 170 CMS-EXO-17-016
1811.00806
53 CMS Collaboration Search for a singly produced third-generation scalar leptoquark decaying to a $ \tau $ lepton and a bottom quark in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 07 (2018) 115 CMS-EXO-17-029
1806.03472
54 ATLAS Collaboration Search for pairs of scalar leptoquarks decaying into quarks and electrons or muons in $ \sqrt{s} = $ 13 TeV pp collisions with the ATLAS detector JHEP 10 (2020) 2006.05872
55 ATLAS Collaboration Searches for scalar leptoquarks and differential cross-section measurements in dilepton-dijet events in proton-proton collisions at a centre-of-mass energy of $ \sqrt{s} = $ 13 TeV with the ATLAS experiment EPJC 79 (2019) 1902.00377
56 ATLAS Collaboration Search for scalar leptoquarks in pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS experiment New J. Phys. 18 (2016) 1605.06035
57 CMS Collaboration Search for pair production of second-generation leptoquarks at $ \sqrt{s}= $ 13 TeV PRD 99 (2019) CMS-EXO-17-003
1808.05082
58 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
59 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
60 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
61 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
62 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
63 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
64 S. Alioli, S.-O. Moch, and P. Uwer Hadronic top-quark pair-production with one jet and parton showering JHEP 01 (2012) 137 1110.5251
65 E. Re Single-top $ Wt $-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
66 M. Chiesa, C. Oleari, and E. Re NLO QCD+NLO EW corrections to diboson production matched to parton shower EPJC 80 (2020) 2005.12146
67 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
68 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
69 CMS Collaboration Investigations of the impact of the parton shower tuning in PYTHIA 8 in the modelling of $ \mathrm{t\overline{t}} $ at $ \sqrt{s}= $ 8 and 13 TeV CMS-PAS-TOP-16-021 CMS-PAS-TOP-16-021
70 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
71 NNPDF Collaboration Parton distributions for the LHC run II JHEP 04 (2015) 040 1410.8849
72 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
73 GEANT 4 Collaboration GEANT4 -- a simulation toolkit NIMA 506 (2003) 250
74 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
75 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
76 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) CMS-JME-13-004
1607.03663
77 S. D. Ellis, C. K. Vermilion, and J. R. Walsh Techniques for improved heavy particle searches with jet substructure PRD 80 (2009) 051501 0903.5081
78 CMS Collaboration Identification techniques for highly boosted W bosons that decay into hadrons JHEP 12 (2014) 017 CMS-JME-13-006
1410.4227
79 M. Dasgupta, A. Fregoso, S. Marzani, and G. P. Salam Towards an understanding of jet substructure JHEP 09 (2013) 029 1307.0007
80 A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler Soft drop JHEP 05 (2014) 146 1402.2657
81 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_\tau $ in pp collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P10005 CMS-TAU-16-003
1809.02816
82 CMS Collaboration Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
83 CMS Collaboration Identification of heavy, energetic, hadronically decaying particles using machine-learning techniques JINST 15 (2020), no. 06, P06005 CMS-JME-18-002
2004.08262
84 CMS Collaboration Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P06005 CMS-EGM-13-001
1502.02701
85 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) CMS-MUO-16-001
1804.04528
86 CMS Collaboration HEPData record for this analysis link
87 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV JHEP 07 (2018) 161 CMS-FSQ-15-005
1802.02613
88 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
89 CMS Collaboration CMS luminosity measurement for the 2016 data-taking period CMS-PAS-LUM-15-001 CMS-PAS-LUM-15-001
90 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-17-004 CMS-PAS-LUM-17-004
91 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-18-002 CMS-PAS-LUM-18-002
92 T. Junk Confidence level computation for combining searches with small statistics NIMA 434 (1999) 435 hep-ex/9902006
93 A. L. Read Presentation of search results: the CL$ _{\text{s}} $ technique in Durham IPPP Workshop: Advanced Statistical Techniques in Particle Physics, Durham, 2002
94 A. Kalogeropoulos and J. Alwall The SysCalc code: A tool to derive theoretical systematic uncertainties 1801.08401
95 S. Catani, D. de Florian, M. Grazzini, and P. Nason Soft gluon resummation for Higgs boson production at hadron colliders JHEP 07 (2003) 028 hep-ph/0306211
96 M. Cacciari et al. The $ \mathrm{t\bar{t}} $ cross-section at 1.8 TeV and 1.96 TeV: a study of the systematics due to parton densities and scale dependence JHEP 04 (2004) 068 hep-ph/0303085
97 I. Doršner et al. Physics of leptoquarks in precision experiments and at particle colliders PR 641 (2016) 1 1603.04993
98 M. Kramer, T. Plehn, M. Spira, and P. M. Zerwas Pair production of scalar leptoquarks at the CERN LHC PRD 71 (2005) 057503 hep-ph/0411038
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