The correlation matrix corresponding to the statistical uncertainties on the differential cross-section ($d\sigma/dp_T$) fit results for $W^-$. To combine with $W^+$ results (Fig8a), use the rows and columns ordered as $W^+$ and then $W^-$. Assume no correlation in the statistical uncertainties between $W^+$ and $W^-$ (zero entries in the off-diagonal blocks).

The correlation matrix corresponding to all of the systematic uncertainties on the differential cross-section ($d\sigma/dp_T$) fit results for $W^+$ and $W^-$ combined together, with rows and columns ordered as $W^+$ and then $W^-$.

Bayesian upper exclusion limits on the ratio $g_{W'}/g_{W}$ for an SSM-like W$\prime$ boson are shown. The unity coupling ratio (blue dotted curve) corresponds to the SSM common benchmark. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian lower exclusion limits on the NUGIM G(221) mixing angle $\cot(\theta_{E})$ are shown as a function of the W$\prime$ boson mass. The theoretically excluded region is shaded in grey. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian upper exclusion limits at 95% CL on the product of the production cross section and branching fraction of a QBH in an associated $ au$ lepton and neutrino final state. Minimum threshold masses $m_{th}$ of up to 6.6 TeV are excluded at 95% CL. The observed limit (solid line) is obtained from the intersection with the LO QBH cross section (blue dotted curve). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Bayesian upper limits at 95% CL on the cross section of the process $pp\rightarrow\tau\nu$ mediated via LQ exchange in the t-channel. 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 predicted LQ cross section at LO in the three coupling benchmark scenarios is depicted in different colors for $g_{U}=1$. The uncertainty bandy correspond to the sum in quadrature of PDF and scale variations. The first benchmark scenario considers only couplings to left-handed SM fermions (i.e. $\beta_{\text{R}}^{ij}=0$) and is referred to as "best fit LH". The second benchmark, referred to as "best fit LH+RH", considers $|\beta_{\text{R}}^{\text{b}\tau}|=1$ and all other $\beta_{\text{R}}^{ij}=0$. In the third "democratic" benchmark, equal couplings only to LH fermions are assumed, i.e. $\beta_{\text{L}}^{ij}=1$ and $\beta_{\text{R}}^{ij}=0$ for all $i$ and $j$.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the LH scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the LH+RH scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Expected and observed lower limits of the LQ mass as a function of the coupling $g_{U}$ in the democratic scenario. The blue band shows the 68% and 95% regions of $g_{U}$ preferred by the fit to the b anomalies data.

Bayesian upper exclusion limits at 95% CL on each of the Wilson coefficients described by the EFT model based on 2016-2018 data. The three different coupling types represent a left-handed vector coupling ($\epsilon^{cb}_{L}$), tensor-like coupling ($\epsilon^{cb}_{T}$), and scalar-tensor-like coupling ($\epsilon^{cb}_{S_{L}}$). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

Summary of exclusion limits (expected and observed) calculated at 95% CL for full Run-2 CMS data.

Background prediction and observed data yields in the signal region bins. The background yields are obtained from the background-only fit and serve as input to the simplified likelihood reinterpretation scheme. The naming of the bins is "year_binnumber", following the binning from Figure 4.

Matrix of covariance coefficients between signal region bins. The coefficients are obtained from the background-only fit and serve as input to the simplified likelihood reinterpretation scheme. The naming of the bins is "year_binnumber", following the binning used in Figure 4.

Predicted signal yields for the 2017 data-taking period, corresponding to 41.3 fb$^{-1}$, after the application of each search requirement (cumulative) for various signal hypothesis. The requirements listed are presented as total efficiencies w.r.t. the previous selection step.

Upper limits on the production cross section times branching fraction of the b* RH hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Upper limits on the production cross section times branching fraction of the b* VL hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Upper limits on the production cross section times branching fraction of the B+b hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

Upper limits on the production cross section times branching fraction of the B+t hypothesis at a 95% CL. Dashed colored lines show the expected limits from the l+jets and all-hadronic channels, where the latter start at resonance masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits.

For the tu$\gamma$ signal channel, the total number of observed selected events in the data (N$_{obs}$), the SM expectations (N$_{SM}$), the efficiencies ($\epsilon$), and the upper limits on the cross sections $\sigma_{fid}$ at the 95% CL in the fiducial region, without and with a requirement on the presence of a single accompanying b jet.

For the tc$\gamma$ signal channel, the total number of observed selected events in the data (N$_{obs}$), the SM expectations (N$_{SM}$), the efficiencies ($\epsilon$), and the upper limits on the cross sections $\sigma_{fid}$ at the 95% CL in the fiducial region, without and with a requirement on the presence of a single accompanying b jet.

Expected and observed measurements of the cross section and signal strength with 68% CL ranges and significances for t$\mathrm{\bar{t}}$W, in SS dilepton and 3$\ell$ channels.

Expected and observed measurements of the cross section and signal strength with 68% CL ranges and significances for t$\mathrm{\bar{t}}$Z, in OS dilepton, 3$\ell$, and 4$\ell$ channels.

Constraints from this t$\mathrm{\bar{t}}$Z and t$\mathrm{\bar{t}}$W measurement on selected dimension-six operators.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \phi^{\gamma\gamma}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of ||$y^{\gamma\gamma}$|| as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $N_\rm{jets}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $p_\rm{T}^\rm{j1}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of |$y^{\gamma\gamma}-y^{\rm{j1}}$| as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $m_\rm{jj}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \eta^{\rm{jj}}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \phi^{\gamma\gamma,\rm{jj}}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of $\Delta \phi^{\rm{jj}}$ as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Values of the pp $\to$ H $\to \gamma\gamma$ differential cross sections as a function of |$\eta^{\gamma\gamma}-(\eta^{\rm{j1}}+\eta^{\rm{j2}})/2$| as measured in data. For each observable the fit to $m_{\gamma\gamma}$ is performed simultaneously in all the bins. Since the signal mass is profiled for each observable, the best fit $\hat{m}_{\rm{H}}$ varies from observable to observable.

Bare cross section $\sigma^\mathrm{bare}(e^+e^-\to\pi^+\pi^-(\gamma_\mathrm{FSR}))$ of the process $e^+e^-\to\pi^+\pi^-$ measured using the initial state radiation method. The data is corrected concerning final state radiation and vacuum polarization effects. The final state radiation is added using the Schwinger term at born level.

Statistical covariance matrix of the bare cross section $\sigma^\mathrm{bare}(e^+e^-\to\pi^+\pi^-(\gamma_\mathrm{FSR}))$.

Statistical covariance matrix of the bare cross section $\sigma^\mathrm{bare}(e^+e^-\to\pi^+\pi^-(\gamma_\mathrm{FSR}))$.

Pion form factor $|F_\pi|^2$ measured using the initial state radiation method. The data is corrected concerning vacuum polarization effects.

Pion form factor $|F_\pi|^2$ measured using the initial state radiation method. The data is corrected concerning vacuum polarization effects.

Statistical covariance matrix of the pion form factor $|F_\pi|^2$.

Statistical covariance matrix of the pion form factor $|F_\pi|^2$.