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CMS-EXO-22-018 ; CERN-EP-2023-129
Search for scalar leptoquarks produced via $ \tau $-lepton-quark scattering in pp collisions at $ \sqrt{s}= $ 13 TeV
Phys. Rev. Lett. 132 (2024) 061801
Abstract: The first search for scalar leptoquarks produced in $ \tau $-lepton-quark collisions is presented. It is based on a set of proton-proton collision data recorded with the CMS detector at the LHC at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The reconstructed final state consists of a jet, significant missing transverse momentum, and a $ \tau $ lepton reconstructed through its hadronic or leptonic decays. Limits are set on the product of the leptoquark production cross section and branching fraction and interpreted as exclusions in the plane of the leptoquark mass and the leptoquark-$ \tau $-quark coupling strength.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Feynman diagram of the lepton-induced LQ production.

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Figure 2:
Observed and expected distributions of $ m_\text{coll} $ in the $ \tau_\mathrm{h}$+jet (left), e+jet (center), and $ \mu$+jet (right) channels for the btag (upper) and no-btag (lower) subcategories with the BDT requirements selecting the most signal-like events. The bands include statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit. The signal distributions are multiplied by a factor of 5 in the e+jet and $ \mu$+jet final states to improve the readability.

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Figure 2-a:
Observed and expected distributions of $ m_\text{coll} $ in the $ \tau_\mathrm{h}$+jet channel for the btag subcategory with the BDT requirements selecting the most signal-like events. The band includes statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit.

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Figure 2-b:
Observed and expected distributions of $ m_\text{coll} $ in the e+jet channel for the btag subcategory with the BDT requirements selecting the most signal-like events. The band includes statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit. The signal distribution is multiplied by a factor of 5 to improve the readability.

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Figure 2-c:
Observed and expected distributions of $ m_\text{coll} $ in the $ \mu$+jet channel for the btag subcategory with the BDT requirements selecting the most signal-like events. The band includes statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit. The signal distribution is multiplied by a factor of 5 to improve the readability.

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Figure 2-d:
Observed and expected distributions of $ m_\text{coll} $ in the $ \tau_\mathrm{h}$+jet channel for the no-btag subcategory with the BDT requirements selecting the most signal-like events. The band includes statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit.

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Figure 2-e:
Observed and expected distributions of $ m_\text{coll} $ in the e+jet channel for the no-btag subcategory with the BDT requirements selecting the most signal-like events. The band includes statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit. The signal distribution is multiplied by a factor of 5 to improve the readability.

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Figure 2-f:
Observed and expected distributions of $ m_\text{coll} $ in the $ \mu$+jet channel for the no-btag subcategory with the BDT requirements selecting the most signal-like events. The band includes statistical and systematic uncertainties. The background distributions are the results of the maximum likelihood fit. The signal distribution is multiplied by a factor of 5 to improve the readability.

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Figure 3:
Expected and observed upper limits at 95% CL on the product of the scalar lepton-induced LQ production cross section and the branching fraction for a LQ coupled to b quarks and $ \tau $ leptons (left), or to light-flavor quarks and $ \tau $ leptons (right), using $ \lambda= $ 1.5. The theoretical cross sections correspond to the calculations of Refs. [40,41]. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The filled circles show the observed limits for the combination of final states, while the other markers indicate the observed results per final state.

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Figure 3-a:
Expected and observed upper limits at 95% CL on the product of the scalar lepton-induced LQ production cross section and the branching fraction for a LQ coupled to b quarks and $ \tau $ leptons, using $ \lambda= $ 1.5. The theoretical cross sections correspond to the calculations of Refs. [40,41]. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The filled circles show the observed limits for the combination of final states, while the other markers indicate the observed results per final state.

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Figure 3-b:
Expected and observed upper limits at 95% CL on the product of the scalar lepton-induced LQ production cross section and the branching fraction for a LQ coupled to light-flavor quarks and $ \tau $ leptons, using $ \lambda= $ 1.5. The theoretical cross sections correspond to the calculations of Refs. [40,41]. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The filled circles show the observed limits for the combination of final states, while the other markers indicate the observed results per final state.

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Figure 4:
Upper limit at 95% CL on the coupling strength $ \lambda $ of a scalar LQ to b quarks and $ \tau $ leptons (left), and to light-flavor quarks and $ \tau $ leptons (right). Regions above the hatched lines are expected to be excluded.

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Figure 4-a:
Upper limit at 95% CL on the coupling strength $ \lambda $ of a scalar LQ to b quarks and $ \tau $ leptons. Regions above the hatched lines are expected to be excluded.

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Figure 4-b:
Upper limit at 95% CL on the coupling strength $ \lambda $ of a scalar LQ to light-flavor quarks and $ \tau $ leptons. Regions above the hatched lines are expected to be excluded.
Tables

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Table 1:
Selection criteria, where $ \ell $ stands for $ \tau_\mathrm{h} $, e, or $ \mu $, depending on the final state.
Summary
In summary, a search for leptoquarks produced in lepton-quark collisions and coupled to $ \tau $ leptons has been performed for the first time, using data collected with the CMS detector in 2016--2018. These limits are complementary to those set using other production modes at high mass and coupling values for b$ \tau $ couplings, while the limits on the couplings of leptoquarks to light-flavor quarks extend the mass range excluded by previous searches in other production modes.
Additional Figures

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Additional Figure 1:
Observed and expected distributions of the collinear mass in the $ \tau_\mathrm{h}+ $ jet channels for the btag category with the lowest BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 2:
Observed and expected distributions of the collinear mass in the e $+ $ jet channels for the btag category with the lowest BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 3:
Observed and expected distributions of the collinear mass in the $ \mu+ $ jet channels for the btag category with the lowest BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 4:
Observed and expected distributions of the collinear mass in the $ \tau_\mathrm{h}+ $ jet channels for the btag category with intermediate BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 5:
Observed and expected distributions of the collinear mass in the e $+ $ jet channels for the btag category with intermediate BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 6:
Observed and expected distributions of the collinear mass in the $ \mu+ $ jet channels for the btag category with intermediate BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 7:
Observed and expected distributions of the collinear mass in the $ \tau_\mathrm{h}+ $ jet channels for the no-btag category with the lowest BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 8:
Observed and expected distributions of the collinear mass in the e $+ $ jet channels for the no-btag category with the lowest BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 9:
Observed and expected distributions of the collinear mass in the $ \mu+ $ jet channels for the no-btag category with the lowest BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 10:
Observed and expected distributions of the collinear mass in the $ \tau_\mathrm{h}+ $ jet channels for the no-btag category with low BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 11:
Observed and expected distributions of the collinear mass in the e $+ $ jet channels for the no-btag category with low BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 12:
Observed and expected distributions of the collinear mass in the $ \mu+ $ jet channels for the no-btag category with low BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 13:
Observed and expected distributions of the collinear mass in the $ \tau_\mathrm{h}+ $ jet channels for the no-btag category with intermediate BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 14:
Observed and expected distributions of the collinear mass in the e $+ $ jet channels for the no-btag category with intermediate BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 15:
Observed and expected distributions of the collinear mass in the $ \mu+ $ jet channels for the no-btag category with intermediate BDT output requirement. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

png pdf
Additional Figure 16:
Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupling to b quarks and $ \tau $ leptons using $ \lambda_{\mathrm{b}\tau}= $ 1.0. The bands around the predictions represent the theoretical uncertainties in the renormalization and factorization scales, and in the PDF.

png pdf
Additional Figure 17:
Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupling to b quarks and $ \tau $ leptons using $ \lambda_{\mathrm{b}\tau}= $ 2.0. The bands around the predictions represent the theoretical uncertainties in the renormalization and factorization scales, and in the PDF.

png pdf
Additional Figure 18:
Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupling to b quarks and $ \tau $ leptons using $ \lambda_{\mathrm{b}\tau}= $ 3.0. The bands around the predictions represent the theoretical uncertainties in the renormalization and factorization scales, and in the PDF.

png pdf
Additional Figure 19:
Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupling to light-flavor quarks and $ \tau $ leptons using $ \lambda_{\mathrm{q}\tau}= $ 0.5. The bands around the predictions represent the theoretical uncertainties in the renormalization and factorization scales, and in the PDF.

png pdf
Additional Figure 20:
Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupling to light-flavor quarks and $ \tau $ leptons using $ \lambda_{\mathrm{q}\tau}= $ 1.0. The bands around the predictions represent the theoretical uncertainties in the renormalization and factorization scales, and in the PDF.

png pdf
Additional Figure 21:
Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupling to light-flavor quarks and $ \tau $ leptons using $ \lambda_{\mathrm{q}\tau}= $ 2.0. The bands around the predictions represent the theoretical uncertainties in the renormalization and factorization scales, and in the PDF.

png pdf
Additional Figure 22:
Observed and expected distributions of the jet multiplicity in the e $+ $ jet channels for the btag CR with 0.2 $ < |\Delta\phi(\mathrm{e},{\vec p}_{\mathrm{T}}^{\kern1pt\text{miss}})| < $ 0.4. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.

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Additional Figure 23:
Observed and expected distributions of the jet multiplicity in the $ \mu+ $ jet channels for the btag CR with 0.2 $ < |\Delta\phi(\mu,{\vec p}_{\mathrm{T}}^{\kern1pt\text{miss}})| < $ 0.4. The uncertainty band includes statistical and systematic uncertainties, and the background distributions are the results of the maximum likelihood fit.
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