Observed differential dijet spectrum using full Run-2 data.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for quark-quark type dijet resonances.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for quark-gluon type dijet resonances.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for gluon-gluon type dijet resonances.

The observed and expected 95% CL upper limits on the universal quark coupling $g_{q}'$ as a function of resonance mass for a leptophobic Z' resonance that only couples to quarks.

Predictions of a leading order (LO) QCD simulation, normalized to an integrated luminosity of 138 fb$^{-1}$. The number of events are examined within bins of the four-jet mass and the ratio $\alpha$, which is the average dijet mass divided by the four-jet mass.

The 68% probability contour in the $m_{\mathrm{4j}}$ vs. $\overline{m}_{\mathrm{2j}}$ plane from a signal simulation of a diquark with a width of 1.5% and a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

The 68% probability contour in the $m_{\mathrm{4j}}$ vs. $\overline{m}_{\mathrm{2j}}$ plane from a signal simulation of a diquark with a width of 5% and a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

The 68% probability contour in the $m_{\mathrm{4j}}$ vs. $\overline{m}_{\mathrm{2j}}$ plane from a signal simulation of a diquark with a width of 10% and a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

The 68% probability contour in the $m_{\mathrm{4j}}$ vs. $\alpha$ plane from a signal simulation of a diquark with a width of 1.5% and a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

The 68% probability contour in the $m_{\mathrm{4j}}$ vs. $\alpha$ plane from a signal simulation of a diquark with a width of 5% and a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

The 68% probability contour in the $m_{\mathrm{4j}}$ vs. $\alpha$ plane from a signal simulation of a diquark with a width of 10% and a mass of 8.4 TeV, decaying to a pair of vector-like quarks, each with a mass of 2.1 TeV.

Signal differential distributions as a function of four-jet mass for $\alpha_{\mathrm{true}}$ = 0.25, diquark masses of 2, 5, 8.6 TeV and various widths, for all $\alpha$ bins inclusively. The integral of each distribution has been normalized to unity.

The product of acceptance, $A$, and efficiency, $\varepsilon$, of a resonant signal with $\alpha_{\mathrm{true}}$ = 0.25 vs. the diquark mass for various diquark widths, and for all $\alpha$ bins inclusively. The acceptance is defined as the fraction of generated events passing the kinematic selection criteria, while the efficiency is the fraction of signal events satisfying $m_{\mathrm{4j}} > 1.6$ TeV. We also show the signal acceptance alone in the curves where $\varepsilon = 1$.

The four-jet mass distribution in data for 0.22 < $\alpha$ < 0.24, fitted with three background-only functions (Dijet-3p, PowExp-3p and ModDijet-3p), each with three free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV, and $\Gamma/M_{\mathrm{S}}$ = 1.5%, 10% are also shown, with cross sections equal to the observed upper limits at 95% confidence level.

The four-jet mass distribution in data for 0.24 < $\alpha$ < 0.26, fitted with three background-only functions (Dijet-3p, PowExp-3p and ModDijet-3p), each with three free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV, and $\Gamma/M_{\mathrm{S}}$ = 1.5%, 10% are also shown, with cross sections equal to the observed upper limits at 95% confidence level.

The four-jet mass distribution in data for 0.26 < $\alpha$ < 0.28, fitted with three background-only functions (Dijet-3p, PowExp-3p and ModDijet-3p), each with three free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV and $\alpha_{\mathrm{true}}$ = 0.29, $M_{\mathrm{S}}$ = 3.6 TeV, each shown for widths of $\Gamma/M_{\mathrm{S}}$ = 1.5% and 10% are also included, with cross sections equal to the observed upper limits at 95% confidence level.

The four-jet mass distribution in data for 0.28 < $\alpha$ < 0.30, fitted with three background-only functions (Dijet-3p, PowExp-3p and ModDijet-3p), each with three free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV and $\alpha_{\mathrm{true}}$ = 0.29, $M_{\mathrm{S}}$ = 3.6 TeV, each shown for widths of $\Gamma/M_{\mathrm{S}}$ = 1.5% and 10% are also included, with cross sections equal to the observed upper limits at 95% confidence level.

The four-jet mass distribution in data for 0.30 < $\alpha$ < 0.32, fitted with three background-only functions (Dijet-3p, PowExp-3p and ModDijet-3p), each with three free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV and $\alpha_{\mathrm{true}}$ = 0.29, $M_{\mathrm{S}}$ = 3.6 TeV, each shown for widths of $\Gamma/M_{\mathrm{S}}$ = 1.5% and 10% are also included, with cross sections equal to the observed upper limits at 95% confidence level.

The four-jet mass distribution in data for 0.32 < $\alpha$ < 0.34, fitted with three background-only functions (Dijet-3p, PowExp-3p and ModDijet-3p), each with three free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV, and $\Gamma/M_{\mathrm{S}}$ = 1.5%, 10% are also shown, with cross sections equal to the observed upper limits at 95% confidence level.

The inclusive four-jet mass distribution in data for $\alpha$ > 0.10, fitted with three background-only functions (Dijet-5p, PowExp-5p and ModDijet-5p), each with five free parameters. Examples of predicted diquark resonances with $\alpha_{\mathrm{true}}$ = 0.25, $M_{\mathrm{S}}$ = 8.6 TeV and $\alpha_{\mathrm{true}}$ = 0.29, $M_{\mathrm{S}}$ = 3.6 TeV, each shown for widths of $\Gamma/M_{\mathrm{S}}$ = 1.5% and 10% are also included, with cross sections equal to the observed upper limits at 95% confidence level.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.25$ and width of the initial resonance Y equal to 1.5%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 1.5%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.25$ and width of the initial resonance Y equal to 5%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 5%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.25$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.11$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.13$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.15$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.17$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.19$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.21$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.23$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.27$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.29$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.31$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.33$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.42$ and width of the initial resonance Y equal to 10%. The corresponding expected limits and their variations at the 1 and 2 standard deviation (s.d.) levels are also included. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate a mediator width equal to 10%.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.11$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.13$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.15$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.17$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.19$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.21$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.23$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.27$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.29$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.31$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.33$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

The observed 95% CL upper limits on the product of the cross section, branching fraction, and acceptance for resonant production of paired dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}} / M_{\mathrm{Y}} = 0.42$ and widths of the initial resonance Y equal to 1.5, 5, and 10%. Limits are compared to predictions for scalar $\mathrm{S}_{\mathrm{uu}}$ and $\mathrm{S}_{\mathrm{dd}}$ diquarks with couplings to pairs of up and down quarks, $y_{\mathrm{uu}}$ and $y_{\mathrm{dd}}$, and to pairs of vector-like quarks, $y_{\chi}$ and $y_{\omega}$, set appropriately in order to generate the corresponding widths.

Observed local $p$-value for a four-jet resonance, Y, decaying to a pair of dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}}/M_{\mathrm{Y}}$ = 0.25, and various widths of Y superimposed.

Observed local $p$-value for a four-jet resonance, Y, decaying to a pair of dijet resonances, X, with $\alpha_{\mathrm{true}} = M_{\mathrm{X}}/M_{\mathrm{Y}}$ = 0.29, and various widths of Y superimposed.

The table presents the cumulative cutflow for a signal with $M_{\mathrm{S}} = 2.0$ TeV, $M_{\chi} = 0.5$ TeV and different width hypotheses ($\Gamma/M_{\mathrm{S}} =$ 1.5, 5, and 10%). Each row corresponds to the number of signal events that survive all cuts up to and including the one listed. The percentage in parentheses shows the efficiency of the current cut alone, defined as the ratio of the number of events that survive all cuts up to and including this one to the number of events that survived all previous cuts.

The table presents the cumulative cutflow for a signal with $M_{\mathrm{S}} = 5.0$ TeV, $M_{\chi} = 1.25$ TeV and different width hypotheses ($\Gamma/M_{\mathrm{S}} =$ 1.5, 5, and 10%). Each row corresponds to the number of signal events that survive all cuts up to and including the one listed. The percentage in parentheses shows the efficiency of the current cut alone, defined as the ratio of the number of events that survive all cuts up to and including this one to the number of events that survived all previous cuts.

The table presents the cumulative cutflow for a signal with $M_{\mathrm{S}} = 8.6$ TeV, $M_{\chi} = 2.15$ TeV and different width hypotheses ($\Gamma/M_{\mathrm{S}} =$ 1.5, 5, and 10%). Each row corresponds to the number of signal events that survive all cuts up to and including the one listed. The percentage in parentheses shows the efficiency of the current cut alone, defined as the ratio of the number of events that survive all cuts up to and including this one to the number of events that survived all previous cuts.

Differential cross sections normalized to the fiducial cross section as a function of the $p_T$ of the second-highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the $|\eta|$ of the highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the $|\eta|$ of the second-highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the pseudorapidity difference between the two highest-$p_T$ jets in the event

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the two highest-$p_T$ jets in the event

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 0 jet, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 1 jet, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 2 jets, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with at least 3 jets, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 0 jet, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 1 jet, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 2 jets, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with at least 3 jets, in the full $m_{4l}$ range

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with the BDT requirements selecting the most signal-like events. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet no-btag category with the BDT requirements selecting the most signal-like events. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet no-btag category with the BDT requirements selecting the most signal-like events. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 1.5$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 1.5$.

Expected upper limit at 95% CL on the coupling strength $\lambda$ of a scalar LQ to b quarks and $\tau$ leptons.

Expected upper limit at 95% CL on the coupling strength $\lambda$ of a scalar LQ to light-flavor quarks and $\tau$ leptons.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet btag category with the intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet no-btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet btag category with the lowest BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with low BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet no-btag category with low BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet no-btag category with low BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\tau_\mathrm{h}$+jet no-btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the e+jet btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Observed and expected distributions of the collinear mass in the $\mu$+jet no-btag category with intermediate BDT requirement. The signal hypothesis corresponds to a scalar leptoquark coupled to u quarks and $\tau$ leptons with a coupling strength $\lambda$ equal to 1.5.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 1.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 2.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to b quarks and $\tau$ leptons, using $\lambda = 3.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 0.5$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 1.0$.

Expected and observed upper limits at 95% CL on the scalar lepton-induced LQ production cross section times branching fraction for a LQ coupled to light-flavor quarks and $\tau$ leptons, using $\lambda = 2.0$.

Observed and expected distributions of the jet multiplicity in the e+jet btag control region.

Observed and expected distributions of the jet multiplicity in the $\mu$+jet btag control region.