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.

The minimum $\chi^2$ and the parameters $T_{fo}$ and $\beta^{max}_T$ for each of the five centrality selections. The best fit parameters are determined by averaging all parameter pairs within the 1$\sigma$ contour. The errors correspond to the standard deviation of the parameter pairs within the 1$\sigma$ $\chi^2$ contour.

Fit parameters for each particle species using Equations $\frac{dN}{dy}$ = $C \cdot$ ($N_{part}$)$^{\alpha_{part}}$ and $\frac{dN}{dy}$ = $C^{\prime} \cdot$ ($N_{coll}$)$^{\alpha_{coll}}$.

Values of the parameters $n_{pp}$ and $x$ from fitting Equation $R \equiv \frac{dN/dy}{N_{part}}$ = (1-$x$) $\cdot n_{pp} \frac{1}{2}$ + $x \cdot n_{pp} \frac{N_{coll}}{N_{part}}$ = $n_{pp}$ [$\frac{1}{2}$ + $x$($\frac{N_{coll}}{N_{part}}$ - $\frac{1}{2})$]to the observed $dN$/$dy$ per $N_{part}$.

Invariant yields for $\pi^{\pm}$ measured in minimum-bias events at midrapidity and normalized to one rapidity unit.

Invariant yields for $K^{\pm}$ measured in minimum-bias events at midrapidity and normalized to one rapidity unit.

Invariant yields for (anti)$p$ measured in minimum-bias events at midrapidity and normalized to one rapidity unit.

Pion invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Pion invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Kaon invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Kaon invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

(Anti)proton invariant yields in each event centrality and $p_T$ bin measured at midrapidity, normalized to one rapidity unit.

Minimum-bias invariant yields for $\pi^{\pm}$ in equal $p_T$ bins.

Minimum-bias invariant yields for $K^{\pm}$ in equal $p_T$ bins.

Minimum-bias invariant yields for (anti)$p$ in equal $p_T$ bins.

Pion invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

Pion invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

Kaon invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

(Anti)proton invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

(Anti)proton invariant yields in each event centrality normalized to one rapidity unit at midrapidity.

The integrated mean $p_T$ for pions, kaons, and (anti)protons produced in the five different classes of event centrality.

The expansion parameters $T_{fo}$ and $\beta^{max}_T$ as a function of the number of participants.

Fit results based on $k(\delta_{\eta})$=$1/{{2\alpha\xi}/{\delta_{\eta}}}$ ($\xi << \delta_{\eta}$).

$F_{p_T}$ (in percent) of non-random fluctuations as a function of the $p_T$ range over which $M_{p_T}$ is calculated, 0.2 GeV/$c$ < $p_T$ < $p^{max}_T$, for the 20-25% centrality class ($N_{part}$ = 181.6).

$v(Q)$, for central events, as a function of the azimuthal coverage of the detector for data. (Angles in degrees.)

The effect on $v(Q)$ of varying the acceptance in $\varphi_r$. The solid curve shows the expectation from global charge conservation. The 10% most central events are used for data and RQMD. (Angles in degrees.)

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Invariant $\pi^0$ yields at midrapidity as a function of $p_T$ for minimum bias and nine centralities in $Au\ +\ Au$ at $\sqrt{s_{NN}} = 200\ GeV$ [0%–10% (80%–92%) is most central (peripheral)]. The labels "uncorr." and "corr." include systematic errors that are uncorrelated and correlated point-to-point, respectively.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

Nuclear modification factor $R_{AA}(p_T)$ for $\pi^0$ in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV. The error bars include all point-to-point experimental ($p+p$, Au+Au) errors. The label "sys(uncorr)" refers to the uncorrelated point-to-point uncertainty (which includes statistical errors), while "sys(norm)" is the normalization uncertainty.

The $M_{e_T}$ distributions for four different centrality classes. The curves are the random baseline mixed event distributions. The source of differences in the data and mixed event distributions are addressed in the text.

The residual distribution between the data and mixed event $M_{e_T}$ spectra as a function of $M_{e_T}$ in units of standard deviation. The total ${\chi}^2$ and the number of degrees of freedom for the $0-5\%$, $0-10\%$, $10-20\%$, $20-30\%$ centrality classes are 310.0/32, 896.4/36, 678.7/47, and 553.9/53, respectively. A large fraction of the residual contributions are due to the effects of cluster merging.