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CMS-EXO-24-039 ; CERN-EP-2026-185
Search for resonant and nonresonant production of pairs of dijet resonances with b jets in the final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
Submitted to the Journal of High Energy Physics
Abstract: A search is presented for pair-produced dijet resonances of identical mass, each decaying into a bottom (b) quark and a light-flavor quark. The search uses a data sample corresponding to an integrated luminosity of 138 fb$^{-1}$ collected with the CMS detector in proton-proton collisions at $ \sqrt{s}= $ 13 TeV. Results are presented separately for nonresonant production and for the case where the four-jet production proceeds via an intermediate resonant state. Upper limits are reported on the production of four-jet and dijet resonances with b jets in the final state. This is the first LHC search for resonant production of pairs of fully resolved dijet resonances with b jets in the final state, in which all resonances considered correspond to non-standard-model states. For nonresonant production, the most significant excess occurs at an average dijet mass of 1.0 TeV, with a local significance of 2.1 standard deviations. Additionally, the results exclude pair production of top squarks with masses between 0.5 and 0.8 TeV, extending previous searches for $ R $-parity-violating decays to strange and b quarks. In the search for resonant production, the most significant excess occurs at a four-jet resonance mass of 3.1 TeV and a dijet resonance mass of 1.3 TeV, with a local significance of 2.6 standard deviations. The results are also used to set limits at 95% confidence level on the diquark-to-diquarks model and exclude the heavier diquark masses between 2 and 7 TeV.
Figures Summary References CMS Publications
Figures

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Figure 1:
(Left) Nonresonant production of pairs of dijet resonances, $ \mathrm{X} $. (Right) Resonant production of pairs of dijet resonances, $ \mathrm{X} $, via a massive resonance, Y. In both scenarios, each dijet resonance, $ \mathrm{X} $, produces a b jet and a light-flavor jet.

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Figure 1-a:
(Left) Nonresonant production of pairs of dijet resonances, $ \mathrm{X} $. (Right) Resonant production of pairs of dijet resonances, $ \mathrm{X} $, via a massive resonance, Y. In both scenarios, each dijet resonance, $ \mathrm{X} $, produces a b jet and a light-flavor jet.

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Figure 1-b:
(Left) Nonresonant production of pairs of dijet resonances, $ \mathrm{X} $. (Right) Resonant production of pairs of dijet resonances, $ \mathrm{X} $, via a massive resonance, Y. In both scenarios, each dijet resonance, $ \mathrm{X} $, produces a b jet and a light-flavor jet.

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Figure 2:
Number of events observed (color scale) within bins of the invariant mass of the four jets and the average dijet mass.

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Figure 3:
(Left) Number of events observed (color scale) within bins of the average dijet mass and the ratio $ \alpha $. (Right) Number of events predicted in the same bins by a simulation of the production and RPV decay of a pair of top squarks with a mass of 1 TeV. The distribution of the simulated signal events arises from the performance of the jet pairing algorithm, and is explained in Section 6. The dashed lines indicate the lower edges of the three $ \alpha $ bins in which the analysis is conducted.

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Figure 3-a:
(Left) Number of events observed (color scale) within bins of the average dijet mass and the ratio $ \alpha $. (Right) Number of events predicted in the same bins by a simulation of the production and RPV decay of a pair of top squarks with a mass of 1 TeV. The distribution of the simulated signal events arises from the performance of the jet pairing algorithm, and is explained in Section 6. The dashed lines indicate the lower edges of the three $ \alpha $ bins in which the analysis is conducted.

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Figure 3-b:
(Left) Number of events observed (color scale) within bins of the average dijet mass and the ratio $ \alpha $. (Right) Number of events predicted in the same bins by a simulation of the production and RPV decay of a pair of top squarks with a mass of 1 TeV. The distribution of the simulated signal events arises from the performance of the jet pairing algorithm, and is explained in Section 6. The dashed lines indicate the lower edges of the three $ \alpha $ bins in which the analysis is conducted.

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Figure 4:
(Left) Number of events observed (color scale) within bins of the four-jet mass and the ratio $ \alpha $. (Right) Number of events predicted in the same bins by a simulation of a diquark with a mass of 6 TeV, decaying to a pair of color-triplet scalar diquarks, each with a mass of 1.5 TeV. The dashed lines indicate the lower edges of the twelve $ \alpha $ bins in which the analysis is conducted.

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Figure 4-a:
(Left) Number of events observed (color scale) within bins of the four-jet mass and the ratio $ \alpha $. (Right) Number of events predicted in the same bins by a simulation of a diquark with a mass of 6 TeV, decaying to a pair of color-triplet scalar diquarks, each with a mass of 1.5 TeV. The dashed lines indicate the lower edges of the twelve $ \alpha $ bins in which the analysis is conducted.

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Figure 4-b:
(Left) Number of events observed (color scale) within bins of the four-jet mass and the ratio $ \alpha $. (Right) Number of events predicted in the same bins by a simulation of a diquark with a mass of 6 TeV, decaying to a pair of color-triplet scalar diquarks, each with a mass of 1.5 TeV. The dashed lines indicate the lower edges of the twelve $ \alpha $ bins in which the analysis is conducted.

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Figure 5:
(Left) The average dijet mass distributions for different $ R $-parity-violating top squark signal masses, with the kinematic and b tagging selections applied. (Right) The four-jet mass distributions for different signal S$ \mathrm{u} \mathrm{u} $ diquark masses with $ \alpha_{\text{true}} = $ 0.25, with the kinematic and b tagging selections applied. Shapes are shown for the $ \alpha $ bins with the largest yield for each search, and have been normalized to have a unit area.

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Figure 5-a:
(Left) The average dijet mass distributions for different $ R $-parity-violating top squark signal masses, with the kinematic and b tagging selections applied. (Right) The four-jet mass distributions for different signal S$ \mathrm{u} \mathrm{u} $ diquark masses with $ \alpha_{\text{true}} = $ 0.25, with the kinematic and b tagging selections applied. Shapes are shown for the $ \alpha $ bins with the largest yield for each search, and have been normalized to have a unit area.

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Figure 5-b:
(Left) The average dijet mass distributions for different $ R $-parity-violating top squark signal masses, with the kinematic and b tagging selections applied. (Right) The four-jet mass distributions for different signal S$ \mathrm{u} \mathrm{u} $ diquark masses with $ \alpha_{\text{true}} = $ 0.25, with the kinematic and b tagging selections applied. Shapes are shown for the $ \alpha $ bins with the largest yield for each search, and have been normalized to have a unit area.

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Figure 6:
The products of acceptance and efficiency for a nonresonant signal vs. the top squark mass (left), and a resonant signal vs. the diquark mass (right) inclusively, i.e.,, for all $ \alpha $ values, and for the three $ \alpha $ bins that contain the majority ($ > $85%) of the signal. The case where the efficiency of the mass selection is unity is shown as a solid line, and the case where both the mass selection and b tagging efficiencies are unity is shown as a dashed black line.

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Figure 6-a:
The products of acceptance and efficiency for a nonresonant signal vs. the top squark mass (left), and a resonant signal vs. the diquark mass (right) inclusively, i.e.,, for all $ \alpha $ values, and for the three $ \alpha $ bins that contain the majority ($ > $85%) of the signal. The case where the efficiency of the mass selection is unity is shown as a solid line, and the case where both the mass selection and b tagging efficiencies are unity is shown as a dashed black line.

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Figure 6-b:
The products of acceptance and efficiency for a nonresonant signal vs. the top squark mass (left), and a resonant signal vs. the diquark mass (right) inclusively, i.e.,, for all $ \alpha $ values, and for the three $ \alpha $ bins that contain the majority ($ > $85%) of the signal. The case where the efficiency of the mass selection is unity is shown as a solid line, and the case where both the mass selection and b tagging efficiencies are unity is shown as a dashed black line.

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Figure 7:
(Upper panel) The measured $ \overline{m}_{2{j} } $ distributions (points) and background fits (red curves) in each slice of $ \alpha $, in the nonresonant search. We note that the three background fits lie nearly on top of one another. (Lower panel) The residual difference between data and the Dijet-3p function, divided by the statistical uncertainty of data ($ \sigma_{\text{Stat}} $). In both panels, examples of predicted top squark pair production signals are shown, with cross sections equal to the observed upper limits at 95% confidence level, for top squark masses of 0.6 TeV (blue solid line) and 1.0 TeV (blue dashed line). We quote the $ p $-value for each fit of the Dijet-3p function to the average dijet mass distribution in data, evaluated from pseudo-experiments.

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Figure 8:
(Upper panel) The measured $ m_{\mathrm{4j}} $ distributions (points) and background fits (red curves) in three out of the twelve slices of $ \alpha $ in the resonant search. We note that the three background fits lie nearly on top of one another. (Lower panel) The residual difference between data and the Dijet-3p function, divided by the statistical uncertainty of data ($ \sigma_{\text{Stat}} $). In both panels, examples of predicted D2D signals are shown, with cross sections equal to the observed upper limits at 95% confidence level, for S$ \mathrm{u} \mathrm{u} $ diquark masses of 2 TeV (blue solid line), 4 TeV (blue dashed line), and 6 TeV (blue dotted line), and for $ M({{S}{2/3}} )/M({S}{\mathrm{u}\mathrm{u}} ) = $ 0.25. We quote the $ p $-value for each fit of the Dijet-3p function to the four-jet mass distribution in data, evaluated from pseudo-experiments.

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Figure 9:
The residual difference between data and the Dijet-3p function, divided by the statistical uncertainty of data ($ \sigma_{\text{stat}} $), in all twelve $ \alpha $ slices used in the resonant search. We quote the $ p $-value for each fit of the Dijet-3p function to the four-jet mass distribution in data, evaluated from pseudo-experiments. The distributions and fits for the 0.22 $ < \alpha < $ 0.24, 0.24 $ < \alpha < $ 0.26, and 0.26 $ < \alpha < $ 0.28 bins are shown in Fig. 8.

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Figure 10:
The observed 95% CL upper limits (black line with points) on the product of the cross section, branching fraction, and acceptance in the nonresonant search for $ \mathrm{X} \mathrm{X} \to (\mathrm{b} {j} )(\mathrm{b} {j} ) $. The expected limits (dashed line) and their variations at the 68% and 95% CL (shaded bands) are also shown. Limits are compared to the predicted cross section of the RPV model [63,64] (dot-dashed line), assuming $ \mathcal{B}(\tilde{\mathrm{t}} \to \overline{\mathrm{b}}\overline{\mathrm{s}}) = $ 1.

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Figure 11:
The observed 95% CL upper limits (black line with points) on the product of the cross section, branching fraction, and acceptance in the resonant search for $ {Y} \to \mathrm{X} \mathrm{X} \to (\mathrm{b} {j} )(\mathrm{b} {j} ) $ with $ \alpha_{\text{true}} = M(\mathrm{X})/M({Y} ) = $ 0.25. The expected limits (dashed line) and their variations at the 68% and 95% CL (shaded bands) are also shown. Limits are compared to the predicted cross section of the D2D diquark model [20] (dot-dashed line) for $ M({{S}{2/3}} )/M({S}{\mathrm{u}\mathrm{u}} ) = $ 0.25 and $ \mathcal{B}({S}{\mathrm{u}\mathrm{u}} \to {{S}{2/3}} {{S}{2/3}} \to (\overline{\mathrm{b}}\overline{\mathrm{s}})(\overline{\mathrm{b}}\overline{\mathrm{s}})) = $ 1.

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Figure 12:
The observed 95% CL upper limits (black line with points) on the product of the cross section, branching fraction, and acceptance in the resonant search for $ {Y} \to \mathrm{X} \mathrm{X} \to (\mathrm{b} {j} )(\mathrm{b} {j} ) $ for the other twelve values of $ \alpha_{\text{true}} = M(\mathrm{X})/M({Y} ) $. The expected limits (dashed line) and their variations at the 68% and 95% CL (shaded bands) are also shown. Limits are compared to the predicted cross section of the D2D diquark model [20] (dot-dashed line) for the respective $ \alpha_{\text{true}} $ values, assuming $ \mathcal{B}({S}{\mathrm{u}\mathrm{u}} \to {{S}{2/3}} {{S}{2/3}} \to (\overline{\mathrm{b}}\overline{\mathrm{s}})(\overline{\mathrm{b}}\overline{\mathrm{s}})) = $ 1.

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Figure 13:
The observed local $ p $-value for a signal across all $ \alpha $ bins for the nonresonant search $ \mathrm{X} \mathrm{X} \to (\mathrm{b} {j} )(\mathrm{b} {j} ) $. Dashed lines indicate the corresponding levels of local significance, expressed in standard deviations (s.d.).

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Figure 14:
The observed local $ p $-values for a signal across all $ \alpha $ bins for the resonant search $ {Y} \to \mathrm{X} \mathrm{X} \to (\mathrm{b} {j} )(\mathrm{b} {j} ) $ for 13 values of $ \alpha_{\text{true}} = M(\mathrm{X})/M({Y} ) $. Dashed lines denote the corresponding levels of local significance, expressed in standard deviations (s.d.).

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Figure 15:
Three-dimensional display of the event with the highest $ m_{\mathrm{4j}} = $ 5.5 TeV and highest $ \overline{m}_{2{j} } = $ 1.5 TeV. The display shows the energy deposited in the electromagnetic (red) and hadron (blue) calorimeters, and the reconstructed tracks of charged particles (green). The two b jets in the event have passing b tagging scores, shown in green, and the two other jets in the event have failing b tagging scores, shown in red, using the 2018 `medium' working point threshold of 0.2770. The grouping of the four observed jets into two dijet pairs (purple box) is discussed in the text.
Summary
A search for nonresonant and resonant production of pairs of dijet resonances, with a bottom (b) jet within each dijet, has been performed. Data from proton-proton collisions at $ \sqrt{s}= $ 13 TeV are used in this search, collected by the CMS experiment at the LHC, corresponding to an integrated luminosity of 138 fb$^{-1}$. The analysis is conducted across steeply falling dijet ($ \overline{m}_{2{j} } $) and four-jet ($ m_{\mathrm{4j}} $) mass distributions, binned in $ \alpha = \overline{m}_{2{j} }/m_{\mathrm{4j}} $. The mass distributions are fitted with a sum of empirical background functions and the simulated shapes of resonance signals, to search for a mass bump indicative of a heavy resonance. We observe no significant evidence for new resonances. Upper limits at 95% confidence level (CL) are provided for the production cross section multiplied by the branching fraction and acceptance, for models predicting pair-produced resonances decaying to pairs of quarks. These are the first LHC limits on resonant production of pairs of dijet resonances decaying to b jets, in which all resonances considered are beyond the standard model. For nonresonant production, the limits are presented as functions of the mass of the spin-0 dijet resonance, in the range 0.5 to 2.0 TeV. For resonant production, the limits are given for values of four-jet resonance mass between 2 and 8 TeV. Limits from the nonresonant search are compared to a model [18,19] of $ R $-parity-violating supersymmetry, with pair-produced top squarks decaying to bottom and strange quarks. Top squarks with masses between 0.5 and 0.8 TeV are excluded at 95% CL. This significantly extends the mass limit on these top squark decays, which was previously about 0.5 TeV [16]. The largest excess observed in the nonresonant search occurs for a dijet resonance mass of 1.0 TeV and has a local significance of 2.1 standard deviations. Limits from the resonant search are compared to a recent model [20] of massive intermediate scalar diquarks (S$ \mathrm{u} \mathrm{u} $ ) decaying to pairs of final state diquarks ({S2/3} ), and exclude the S$ \mathrm{u} \mathrm{u} $ for masses between 2 and 7 TeV, for nearly all values of the {S2/3} mass considered. We note that these are the first limits on this model of S$ \mathrm{u} \mathrm{u} $ decays. The most significant excess seen in the resonant search occurs at an S$ \mathrm{u} \mathrm{u} $ mass of 3.1 TeV and an {S2/3} mass of 1.3 TeV, and has a local significance of 2.6 standard deviations.
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