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CMS-SUS-18-001 ; CERN-EP-2018-109
Constraints on models of scalar and vector leptoquarks decaying to a quark and a neutrino at $\sqrt{s} = $ 13 TeV
Phys. Rev. D 98 (2018) 032005
Abstract: The results of a previous search by the CMS Collaboration for squarks and gluinos are reinterpreted to constrain models of leptoquark (LQ) production. The search considers jets in association with a transverse momentum imbalance, using the $ {M_{\mathrm{T2}}} $ variable. The analysis uses proton-proton collision data at $\sqrt{s} = $ 13 TeV, recorded with the CMS detector at the LHC in 2016 and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Leptoquark pair production is considered with LQ decays to a neutrino and a top, bottom, or light quark. This reinterpretation considers higher mass values than the original CMS search to constrain both scalar and vector LQs. Limits on the cross section for LQ pair production are derived at the 95% confidence level depending on the LQ decay mode. A vector LQ decaying with a 50% branching fraction to $ {\mathrm{t}\nu} $, and 50% to $ {\mathrm{b}\tau} $, has been proposed as part of an explanation of anomalous flavor physics results. In such a model, using only the decays to $ {\mathrm{t}\nu} $, LQ masses below 1530 GeV are excluded assuming the Yang-Mills case with coupling $\kappa = $ 1, placing the most stringent constraint to date from pair production of vector LQs.
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Additional information on efficiencies needed for reinterpretation of these results are available here.
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Figures

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Figure 1:
Dominant LO diagrams for LQ pair production in proton-proton collisions.

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Figure 1-a:
One of the dominant LO diagram for LQ pair production in proton-proton collisions.

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Figure 1-b:
One of the dominant LO diagram for LQ pair production in proton-proton collisions.

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Figure 1-c:
One of the dominant LO diagram for LQ pair production in proton-proton collisions.

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Figure 1-d:
One of the dominant LO diagram for LQ pair production in proton-proton collisions.

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Figure 2:
Distributions of $ {M_{\mathrm {T2}}} $ showing data, the background predictions, and a hypothetical $ {\mathrm {LQ}_{\mathrm {V}}} $ signal with LQ mass of 1500 GeV decaying with 100% branching fraction to $ {{\mathrm {t}} {\nu}} _{\tau}$. The cross section used for the $ {\mathrm {LQ}_{\mathrm {V}}} $ signal assumes $\kappa = $ 1, and the signal is stacked on top of the background predictions. The black points show the observed data, with the statistical uncertainties represented by the vertical bars, and the bin widths represented by the horizontal bars. The rightmost bin in each plot also includes events with larger values of $ {M_{\mathrm {T2}}} $. The hatched band shows the uncertainty in the background prediction including both statistical and systematic components. The lower pane of each plot shows the ratio of observed data over predicted background. The categories require $ {H_{\mathrm {T}}} > $ 1500 GeV, 4 $ \leq {N_{\mathrm {j}}} \leq $ 6, and (left) $ {N_{{\mathrm {b}}}} = $ 1 or (right) $ {N_{{\mathrm {b}}}} = $ 2.

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Figure 2-a:
Distribution of $ {M_{\mathrm {T2}}} $ showing data, the background predictions, and a hypothetical $ {\mathrm {LQ}_{\mathrm {V}}} $ signal with LQ mass of 1500 GeV decaying with 100% branching fraction to $ {{\mathrm {t}} {\nu}} _{\tau}$. The cross section used for the $ {\mathrm {LQ}_{\mathrm {V}}} $ signal assumes $\kappa = $ 1, and the signal is stacked on top of the background predictions. The black points show the observed data, with the statistical uncertainties represented by the vertical bars, and the bin widths represented by the horizontal bars. The rightmost bin in the plot also includes events with larger values of $ {M_{\mathrm {T2}}} $. The hatched band shows the uncertainty in the background prediction including both statistical and systematic components. The lower pane shows the ratio of observed data over predicted background. The categories require $ {H_{\mathrm {T}}} > $ 1500 GeV, 4 $ \leq {N_{\mathrm {j}}} \leq $ 6, and $ {N_{{\mathrm {b}}}} = $ 1.

png pdf
Figure 2-b:
Distribution of $ {M_{\mathrm {T2}}} $ showing data, the background predictions, and a hypothetical $ {\mathrm {LQ}_{\mathrm {V}}} $ signal with LQ mass of 1500 GeV decaying with 100% branching fraction to $ {{\mathrm {t}} {\nu}} _{\tau}$. The cross section used for the $ {\mathrm {LQ}_{\mathrm {V}}} $ signal assumes $\kappa = $ 1, and the signal is stacked on top of the background predictions. The black points show the observed data, with the statistical uncertainties represented by the vertical bars, and the bin widths represented by the horizontal bars. The rightmost bin in the plot also includes events with larger values of $ {M_{\mathrm {T2}}} $. The hatched band shows the uncertainty in the background prediction including both statistical and systematic components. The lower pane shows the ratio of observed data over predicted background. The categories require $ {H_{\mathrm {T}}} > $ 1500 GeV, 4 $ \leq {N_{\mathrm {j}}} \leq $ 6, and $ {N_{{\mathrm {b}}}} = $ 2.

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Figure 3:
The 95% CL upper limits on the production cross sections as a function of LQ mass for LQ pair production decaying with 100% branching fraction to a neutrino and (upper left) a light quark (one of u, d, s, or c), (upper right) a bottom quark, or (lower) a top quark. The solid (dashed) black line represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing 68 (95%) of the distribution of limits expected under the background-only hypothesis. The blue (red) lines show the theoretical cross section for $ {\mathrm {LQ}_{\mathrm {S}}} ( {\mathrm {LQ}_{\mathrm {V}}} ) $ pair production with its uncertainty. (lower) Also shown in magenta is the product of the theoretical cross section and the square of the branching fraction ($B$), for vector LQ pair production assuming a 50% branching fraction to $ {{\mathrm {t}} {\nu}} _{\tau}$, with the remaining 50% to ${{\mathrm {b}} {\tau}}$.

png pdf root
Figure 3-a:
The 95% CL upper limits on the production cross sections as a function of LQ mass for LQ pair production decaying with 100% branching fraction to a neutrino and a light quark (one of u, d, s, or c). The solid (dashed) black line represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing 68 (95%) of the distribution of limits expected under the background-only hypothesis. The blue (red) lines show the theoretical cross section for $ {\mathrm {LQ}_{\mathrm {S}}} ( {\mathrm {LQ}_{\mathrm {V}}} ) $ pair production with its uncertainty.

png pdf root
Figure 3-b:
The 95% CL upper limits on the production cross sections as a function of LQ mass for LQ pair production decaying with 100% branching fraction to a neutrino and a bottom quark. The solid (dashed) black line represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing 68 (95%) of the distribution of limits expected under the background-only hypothesis. The blue (red) lines show the theoretical cross section for $ {\mathrm {LQ}_{\mathrm {S}}} ( {\mathrm {LQ}_{\mathrm {V}}} ) $ pair production with its uncertainty.

png pdf root
Figure 3-c:
The 95% CL upper limits on the production cross sections as a function of LQ mass for LQ pair production decaying with 100% branching fraction to a neutrino and a top quark. The solid (dashed) black line represents the observed (median expected) exclusion. The inner green (outer yellow) band indicates the region containing 68 (95%) of the distribution of limits expected under the background-only hypothesis. The blue (red) lines show the theoretical cross section for $ {\mathrm {LQ}_{\mathrm {S}}} ( {\mathrm {LQ}_{\mathrm {V}}} ) $ pair production with its uncertainty. Also shown in magenta is the product of the theoretical cross section and the square of the branching fraction ($B$), for vector LQ pair production assuming a 50% branching fraction to $ {{\mathrm {t}} {\nu}} _{\tau}$, with the remaining 50% to ${{\mathrm {b}} {\tau}}$.
Summary
The CMS search for jets and missing transverse momentum using the $ {M_{\mathrm{T2}}} $ variable has been reinterpreted to place limits on leptoquark (LQ) pair production, where the LQ decays with 100% branching fraction to a quark and a neutrino. The search uses proton-proton collision data at $\sqrt{s} = $ 13 TeV, recorded with the CMS detector in 2016 and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Leptoquark decays to a neutrino and a top, bottom, or light quark are considered. Compared to the original result, higher masses are considered to place exclusion limits on both scalar and vector LQs. Assuming that there is only one LQ state within mass reach of the LHC, for a scalar (vector) LQ decaying to a light quark and a neutrino, masses below 980 (1790) GeV are excluded at the 95% confidence level by the observed data. For an LQ decaying to $ {\mathrm{b}\nu} $, masses below 1100 (1810) GeV are excluded, and for an LQ decaying to $ {\mathrm{t}\nu} $, masses below 1020 (1780) GeV are excluded. At high LQ mass values, these results improve the upper limits on LQ pair production cross sections over the extrapolation assumed in Ref. [39] by factors of as much as 1.2, 1.5, and 2.8 for the light quark and neutrino, $ {\mathrm{b}\nu} $, and $ {\mathrm{t}\nu} $ cases respectively. In the model of Refs. [37,38], a vector LQ with 50% branching fraction to $ {\mathrm{t}\nu} $, and 50% to $ {\mathrm{b}\tau} $, is predicted to explain anomalous flavor physics results. Masses below 1530 GeV are excluded for such a state assuming the Yang-Mills case with coupling $\kappa = $ 1, considering only the events with both LQ decaying to $ {\mathrm{t}\nu} $, providing the strongest constraint to date in this model from pair production.
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