CROSS SECTION FOR THE N P QUASI-FREE SCATTERING CONFIGURATION.

CROSS SECTION FOR THE N P QUASI-FREE SCATTERING CONFIGURATION.

CROSS SECTION FOR THE N P QUASI-FREE SCATTERING CONFIGURATION.

Bin averaged hadron level differential cross sections as a function of the variable $z_{I\!\!P}$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $x_{I\!\!P}$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $y$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections as a function of the variable $Q^2$ for diffractive dijet DIS. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $M_X$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential cross sections for diffractive dijet DIS as a function of the variable $\langle\eta^{\text{jets}}\rangle$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations and the the radiative corrections ($1+\delta_{\text{rad}}$) are also listed. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $z_{I\!\!P}$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $x_{I\!\!P}$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $y$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections as a function of the variable $x_\gamma$ for the dijet photoproduction kinematic range. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $M_X$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Bin averaged hadron level differential diffractive dijet $ep$ cross sections in the photoproduction kinematic range as a function of the variable $\langle\eta^{\text{jets}}\rangle$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given. The overall normalisation uncertainty of $6\%$ is not included in the table.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $\vert\Delta\eta^{\text{jets}}\vert$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $y$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $z_{I\!\!P}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

Ratios of differential diffractive dijet $ep$ cross sections, measured in photoproduction, to measurements in DIS as a function of the variable $E_T^{*\text{jet1}}$. The hadronisation correction factors ($1+\delta_{\text{hadr}}$) applied to the NLO calculations are given.

PION FRACTIONS IDENTIFIED BY HADRON ARM TOF COUNTERS (HATOF). ERRORS SHOWN ARE STATISTICAL ONLY.

PION FRACTIONS IDENTIFIED BY HADRON ARM TOF COUNTERS (HATOF). ERRORS SHOWN ARE STATISTICAL ONLY.

PION FRACTIONS IDENTIFIED BY CERENKOV COUNTERS. ERRORS SHOWN ARE STATISTICAL ONLY.

PION FRACTIONS IDENTIFIED BY CERENKOV COUNTERS. ERRORS SHOWN ARE STATISTICAL ONLY.

PION FRACTIONS IDENTIFIED BY CERENKOV COUNTERS. ERRORS SHOWN ARE STATISTICAL ONLY.

SCALED CROSS SECTIONS FROM ITOF DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM ITOF DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM ITOF DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM HATOF DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM HATOF DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM CERENKOV DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM CERENKOV DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

SCALED CROSS SECTIONS FROM CERENKOV DATA. ERRORS INCLUDE ALL STATISTICAL AND SYSTEMATIC ERRORS EXCEPT THE OVERALL NORMALIZATION UNCERTAINTY.

Observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance. The acceptance $\mathcal{A}$ is defined as $\mathcal{A} = N$(events with $m_{X}^{GEN} > 85\% m_{X}^{input}$) / $N$(events generated in the full phase space defined by the CMS default generator settings). Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Mass exclusion ranges of the benchmark signal scenarios are depicted with hatched areas inside the black contours.

Observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance. The acceptance $\mathcal{A}$ is defined as $\mathcal{A} = N$(events with $m_{X}^{GEN} > 85\% m_{X}^{input}$) / $N$(events generated in the full phase space defined by the CMS default generator settings). Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Mass exclusion ranges of the benchmark signal scenarios are depicted with hatched areas inside the black contours.

Efficiencies of the selection requirements on the benchmark signal processes: $Z_{R} \to ggg$ with nominal width ($\Gamma_{X}/m_{X}\sim 3\%$). A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $Z_{R} \to ggg$ with narrow width ($\Gamma_{X}/m_{X}\sim 0.01\%$). A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $G_{KK} \to {\varphi}(gg)g$, where $\varphi$ is the radion. A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $q^{*} \to V(qq)q$, where $V$ is a beyond-the-SM vector boson. A value of -1 means that the corresponding efficiency is not calculated for this year.

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $Z_{R} \to ggg$. The acceptance is defined as $\mathcal{A} = N$(events with $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$)/$N$(events generated in the full phase space defined by the CMS default generator settings).

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $G_{KK} \to {\varphi}(gg)g$.

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $q^{*} \to V(qq)q$.

Observed local significance for a 3-body decay $ggg$ resonance, shown for resonances with nominal width (blue solid line) and narrow width (red dashed line).

Observed local significance for a cascade decay $ggg$ resonance.

Observed local significance for a cascade decay $qqq$ resonance.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.2$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.3$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.4$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.5$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.6$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.7$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.8$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance $m_{Y} / m_{X} = 0.2$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.3$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.4$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.5$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.6$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.7$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.8$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal

Cut flow table of the selection requirments for the $Z_{R}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Cut flow table of the selection requirments for the $G_{KK}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Cut flow table of the selection requirments for the $q^{*}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Predicted production cross section of the benchmark signal process $pp \to Z_{R} \to ggg$.

Predicted production cross section of the benchmark signal process $pp \to G_{KK} \to \varphi(gg)g$.

Predicted production cross section of the benchmark signal process $pp \to q^{*} \to V(qq)q$.

Correlation matrix for the differential branching fraction extraction between different $q^2$ bins in the simultaneous fit.

The product of acceptance and efficiency ($A\epsilon$) of the $\mathcal{B}(\mathrm{B}^+\to\mathrm{K}^+\mu^+\mu^-)$ channel, as a function of the muon pair $q^2$, as measured in simulated signal events, after all the corrections applied. In the figure, regions corresponding to resonances are displayed with red markers.

Same as Table 5, but for the bins containing the J$\psi$ and $\psi$(2S) resonances.

Integrated branching fraction $\mathcal{B}(\mathrm{B}^\pm \to \mathrm{K}^\pm\mu^+\mu^-)$ in the low-$q^2$ region.

Ratio of branching fractions $\mathcal{B}(\text{B}^\pm \to \text{K}^\pm\mu^+\mu^-)$ to $\mathcal{B}(\text{B}^\pm \to \text{K}^\pm\text{e}^+\text{e}^-)$, determined from the measured double ratio $R$(K) of these decays to the respective branching fractions of the decay chains $\text{B}^\pm\to\text{J/}\psi\text{K}^\pm$ with $\text{J/}\psi\to\mu^+\mu^-$ and $\text{e}^+\text{e}^-$.

Negative log likelihood function from the fit profiled as a function of the inverse ratio $R(\mathrm{K})^{-1}$.