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.

Dijet signal efficiencies as a function of the signal mass and lifetime for events satisfying all event and vertex requirements, with corrections based on systematic differences in the vertex reconstruction efficiency between data and simulation.

The distribution of $d_{\mathrm{BV}}$ for $\geq$5-track one-vertex events in data and three simulated multijet signal samples each with a mass of 1600 GeV. The production cross section for each signal model is assumed to be the lower limit excluded by CMS-EXO-17-018, corresponding to values of 0.8, 0.25, and 0.15 fb for the samples with $c\tau =$ 0.3, 1.0, and 10 mm, respectively. The last bin includes the overflow events. This bin includes one event in data with a vertex with large $d_{\mathrm{BV}}$ that appears to arise from tracks originating from separate pp interaction vertices, consistent with background.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized to the number of two-vertex events in data with two 3-track vertices. The two vertical red dashed lines separate the regions used in the fit.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized to the number of two-vertex events in data which have exactly one 4-track vertex and one 3-track vertex. The two vertical red dashed lines separate the regions used in the fit.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized to the number of two-vertex events in data with two 4-track vertices. The two vertical red dashed lines separate the regions used in the fit.

Distribution of the $x$-$y$ distances between vertices, $d_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution $d_{\mathrm{VV}}^{\kern 0.15em\mathrm{C}}$ (blue continuous line) is constructed from one-vertex events in data, and is normalized using $\geq$5-track one-vertex event information. The two vertical red dashed lines separate the regions used in the fit.

Predicted yields for the background-only normalized template, predicted yields for three simulated multijet signals each with a mass of 1600 GeV, and the observed yield in each $d_{\mathrm{VV}}$ bin. The production cross section for each signal model is assumed to be the lower limit excluded by CMS-EXO-17-018, corresponding to values of 0.8, 0.25, and 0.15 fb for samples with $c\tau =$ 0.3, 1.0, and 10 mm, respectively. The uncertainties in the signal yields and the systematic uncertainties in the background prediction reflect the systematic uncertainties given in the text.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the multijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the neutralino (red) and gluino (purple) with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the multijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the neutralino (red) and gluino (purple) with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the multijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the neutralino (red) and gluino (purple) with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the dijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the top squark with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed 95% CL upper limits on the product of cross section and branching fraction squared for the dijet signals, as a function of mass and $c\tau$. The overlaid mass-lifetime exclusion curves assume pair-production cross sections for the top squark with 100% branching fraction to each model's respective decay mode specified. The solid black (dashed colored) lines represent the observed (median expected) limits at 95% CL. The thin black lines represent the variation of the observed limit within theoretical uncertainties of the signal cross section. The thin dashed colored lines represent the region containing 68% of the expected limit distribution under the background-only hypothesis. The observed limits from the CMS displaced jets search (CMS-EXO-19-021) are also shown in teal for comparison.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for multijet signals, for a fixed $c\tau$ of 300um in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for dijet signals, for a fixed $c\tau$ of 300um in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for multijet signals, for a fixed $c\tau$ of 1 mm in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for dijet signals, for a fixed $c\tau$ of 1 mm in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for multijet signals, for a fixed $c\tau$ of 10 mm in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of mass for dijet signals, for a fixed $c\tau$ of 10 mm in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for multijet signals, for a fixed mass of 800 GeV in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for dijet signals, for a fixed mass of 800 GeV in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for multijet signals, for a fixed mass of 1600 GeV in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for dijet signals, for a fixed mass of 1600 GeV in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for multijet signals, for a fixed mass of 2400 GeV in the full Run-2 data set. The neutralino and gluino pair production cross sections are shown for the multijet signals. For $m$ = 2400 GeV, the expected neutralino cross section is $\approx 8\times 10^{-5}$ fb and is not shown.

Observed and expected 95% CL upper limits on the product of cross section and branching fraction squared, as a function of $c\tau$ for dijet signals, for a fixed mass of 2400 GeV in the full Run-2 data set. The top squark pair-production cross section is shown for the dijet signals.

Data-to-simulation efficiency correction factors, shown for multijet and dijet signal topologies in several ranges of $c\tau$. Note that these correction factors account for the two long-lived particles in the simulated events, and are therefore the total correction factors used to scale event yields rather than the correction factors one would apply to individual vertices.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from 3-track one-vertex events in data, and is normalized to the number of 3-track two-vertex events in data.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from 4-track and 3-track one-vertex events in data, and is normalized to the number of two-vertex events in data which have exactly one 4-track vertex and one 3-track vertex.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from 4-track one-vertex events in data, and is normalized to the number of 4-track two-vertex events in data.

Distribution of the azimuthal angle between vertices, $\Delta\phi_{\mathrm{VV}}$, for 2017 and 2018 data. The background distribution (blue continuous line) is constructed from $\geq$5-track one-vertex events in data, and is normalized using one-vertex event information. No $\geq$5-track two-vertex data events pass the selection.

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.

Value of the strong coupling $\alpha_s(\mu^2)$ as a function of the scale $\mu$. The data points indicate determinations from measurements that were performed close to the indicated scale. The uncertainties represent the full uncertainty of each determination. All depicted results were obtained at least at NNLO. They are based on data from $e^+e^-$, $ep$ and $pp$ collisions, as well as from $\tau$ lepton decays and quarkonium states. The solid blue line shows the PDG world average. Also shown are the $\alpha_s(M_Z^2)$ values corresponding to each data point.

The $m_{jj}$ and $m_{J}$ projections for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the CR. Pass and Fail categories are shown. The high level of agreement between the model and the data in the Fail region is due to the nature of the background estimate. The lower panels show the ``Pull'' defined as $(\text{observed events}{-}\text{expected events})/\sqrt{\smash[b]{\sigma_\text{obs}^{2} + \sigma_\text{exp}^{2}}}$, where $\sigma_\text{obs}$ and $\sigma_\text{exp}$ are the total uncertainties in the observation and the background estimation, respectively.

The $m_{jj}$ and $m_{J}$ projections for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the MR. Pass and Fail categories are shown. The expected contribution from the signal benchmark with $M_{X} = 2200\,\mathrm{GeV}$ and $M_{Y} = 250\,\mathrm{GeV}$ is overlaid in the MR Pass, assuming a production cross section of 5 fb. The high level of agreement between the model and the data in the Fail region is due to the nature of the background estimate.

The $m_{jj}$ and $m_{J}$ projections for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the MR. Pass and Fail categories are shown. The expected contribution from the signal benchmark with $M_{X} = 2200\,\mathrm{GeV}$ and $M_{Y} = 250\,\mathrm{GeV}$ is overlaid in the MR Pass, assuming a production cross section of 5 fb. The high level of agreement between the model and the data in the Fail region is due to the nature of the background estimate.

The $m_{jj}$ and $m_{J}$ projections for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the MR. Pass and Fail categories are shown.

The $m_{jj}$ and $m_{J}$ projections for the number of observed events (black markers) compared with the backgrounds estimated in the fit to the data (filled histograms) in the MR. Pass and Fail categories are shown.

The expected and observed 95% confidence level upper limits on the cross section $\sigma(\mathrm{pp} \to \mathrm{X} \to (\mathrm{H} \to b\bar{b})(\mathrm{Y} \to WW \to 4q))$ are shown for different values of $M_X$ and $M_Y$. The limits have been evaluated in discrete steps corresponding to the centers of the boxes. The numbers in the boxes are given in fb. In addition to the observed and median expected limits, the expected limits at $\pm1\sigma$ and $\pm2\sigma$ quantiles are also provided. These represent the regions containing 68% and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The median expected (dashed line) and observed (solid line) 95% confidence level upper limits on the main and three alternative signal scenarios as a function of $M_{X}$. The inner (green) band and outer (yellow) band represent the regions containing 68% and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The median expected (dashed line) and observed (solid line) 95% confidence level upper limits on the main and three alternative signal scenarios as a function of $M_{X}$. The inner (green) band and outer (yellow) band represent the regions containing 68% and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The median expected (dashed line) and observed (solid line) 95% confidence level upper limits on the main and three alternative signal scenarios as a function of $M_{X}$. The inner (green) band and outer (yellow) band represent the regions containing 68% and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The median expected (dashed line) and observed (solid line) 95% confidence level upper limits on the main and three alternative signal scenarios as a function of $M_{X}$. The inner (green) band and outer (yellow) band represent the regions containing 68% and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

Parametric models of the signal process for mX=1000GeV, mY=800GeV in their most sensitive SR. The histograms are normalized to unity. The acronym 'dof' stands for the numbers of degrees of freedom of the parametric model. The signal is modeled using a double-sided Crystal Ball (DCB) function defined as: DCB$(x)$ = \[ \begin{cases} N \cdot A_1 \cdot (B_1 - x_s)^{-m_1}, & x_s \leq -\beta_1 \\ N \cdot e^{-\frac{1}{2} x_s^2}, & -\beta_1 < x_s < \beta_2 \\ N \cdot A_2 \cdot (B_2 + x_s)^{-m_2}, & x_s \geq \beta_2 \end{cases} \] with \(x_s = \frac{x - \mu}{\sigma}\), and: \[ A_1 = \left( \frac{m_1}{\beta_1} \right)^{m_1} e^{-\frac{1}{2} \beta_1^2}, \quad B_1 = \frac{m_1}{\beta_1} - \beta_1 \] \[ A_2 = \left( \frac{m_2}{\beta_2} \right)^{m_2} e^{-\frac{1}{2} \beta_2^2}, \quad B_2 = \frac{m_2}{\beta_2} - \beta_2 \] The DCB parameters for this signal model are: \[ \begin{aligned} N &= 0.35127, & \mu &= 798.50175, & \sigma &= 7.32360 \\ \beta_1 &= 1.50996, & m_1 &= 5.30414, & \beta_2 &= 1.56253, & m_2 &= 18.3172 \end{aligned} \]

Background-only fit (red line) and signal+background fit (blue line) for the mass point hypothesis of mX=280GeV, mY=90GeV. The red line in the lower panel shows the background-only fit, which is by definition zero, and it is added as a visual aid. The most sensitive SR is shown. The choice of the background functional form is determined by the maximum likelihood fit. Category 0 is the most sensitive signal region. Drell-Yan background component is fitted as \[f_{\text{DY}}(m) = \frac{0.530965}{\sqrt{2\pi} \cdot 2.81859} \cdot \exp\left( -\frac{(m - 90.7199)^2}{2 \cdot 2.81859^2} \right)\] In the both the background-only fit and signal plus background fit, the non-resonant component of the pdf is choosing the following function. \[f(m) = \frac{1}{2.6086 \times 10^{-6}} \cdot m^{-3.82346}\] The fitted normalization factor for the function is: 23.5522 Signal fitted r value is 1.21391 in all the category simultaneous fit. The signal is fitted with a double-sided Crystal Ball (DCB) function defined as: DCB$(x)$ = \[ \begin{cases} N \cdot A_1 \cdot (B_1 - x_s)^{-m_1}, & x_s \leq -\beta_1 \\ N \cdot e^{-\frac{1}{2} x_s^2}, & -\beta_1 < x_s < \beta_2 \\ N \cdot A_2 \cdot (B_2 + x_s)^{-m_2}, & x_s \geq \beta_2 \end{cases} \] with \(x_s = \frac{x - \mu}{\sigma}\), and: \[ A_1 = \left( \frac{m_1}{\beta_1} \right)^{m_1} e^{-\frac{1}{2} \beta_1^2}, \quad B_1 = \frac{m_1}{\beta_1} - \beta_1 \] \[ A_2 = \left( \frac{m_2}{\beta_2} \right)^{m_2} e^{-\frac{1}{2} \beta_2^2}, \quad B_2 = \frac{m_2}{\beta_2} - \beta_2 \] The DCB parameters are: 2016: \[ \begin{aligned} N &= 0.6422, & \mu &= 89.9423, & \sigma &= 0.8881 \\ \beta_1 &= 1.3471, & m_1 &= 2.7908, & \beta_2 &= 1.4211, & m_2 &= 19.9999 \end{aligned} \] 2017: \[ \begin{aligned} N &= 0.8047, & \mu &= 89.9948, & \sigma &= 1.03024 \\ \beta_1 &= 1.6449, & m_1 &= 1.9425, & \beta_2 &= 1.7434, & m_2 &= 19.9982 \end{aligned} \] 2018: \[ \begin{aligned} N &= 1.1200, & \mu &= 90.0211, & \sigma &= 0.9284 \\ \beta_1 &= 1.1778, & m_1 &= 4.4273, & \beta_2 &= 1.5851, & m_2 &= 7.1198 \end{aligned} \] The plot is filled with a bin size of 5.84GeV.

Background-only fit (red line) and signal+background fit (blue line) for the mass point hypothesis of mX=280GeV, mY=90GeV. The red line in the lower panel shows the background-only fit, which is by definition zero, and it is added as a visual aid. The second most sensitive SR is shown. The choice of the background functional form is determined by the maximum likelihood fit. Category 1 is the second most sensitive signal region. Drell-Yan background component is fitted as \[f_{\text{DY}}(m) = \frac{0.532195}{\sqrt{2\pi} \cdot 3.10187} \cdot \exp\left( -\frac{(m - 89.7677)^2}{2 \cdot 3.10187^2} \right)\] In the both the background-only fit and signal plus background fit, the non-resonant component of the pdf is choosing the following function. \[f(m) = \frac{1}{14.0606} \cdot \exp\left(-\left(0.1 \cdot \frac{m}{100} + 1.73 \cdot \left(\frac{m}{100}\right)^2\right)\right)\] The fitted normalization factor for the function is: 21.6386 Signal fitted r value is 1.21391 in all the category simultaneous fit. The signal is fitted with a double-sided Crystal Ball (DCB) function defined as: DCB$(x)$ = \[ \begin{cases} N \cdot A_1 \cdot (B_1 - x_s)^{-m_1}, & x_s \leq -\beta_1 \\ N \cdot e^{-\frac{1}{2} x_s^2}, & -\beta_1 < x_s < \beta_2 \\ N \cdot A_2 \cdot (B_2 + x_s)^{-m_2}, & x_s \geq \beta_2 \end{cases} \] with \(x_s = \frac{x - \mu}{\sigma}\), and: \[ A_1 = \left( \frac{m_1}{\beta_1} \right)^{m_1} e^{-\frac{1}{2} \beta_1^2}, \quad B_1 = \frac{m_1}{\beta_1} - \beta_1 \] \[ A_2 = \left( \frac{m_2}{\beta_2} \right)^{m_2} e^{-\frac{1}{2} \beta_2^2}, \quad B_2 = \frac{m_2}{\beta_2} - \beta_2 \] The DCB parameters are: 2016: \[ \begin{aligned} N &= 0.3784, & \mu &= 89.8969, & \sigma &= 0.9189 \\ \beta_1 &= 1.1920, & m_1 &= 3.7178, & \beta_2 &= 1.3318, & m_2 &= 10.9787 \end{aligned} \] 2017: \[ \begin{aligned} N &= 0.4914, & \mu &= 89.8859, & \sigma &= 1.0728 \\ \beta_1 &= 1.3515, & m_1 &= 3.2846, & \beta_2 &= 1.4371, & m_2 &= 20.0000 \end{aligned} \] 2018: \[ \begin{aligned} N &= 0.6766, & \mu &= 89.9327, & \sigma &= 1.1213 \\ \beta_1 &= 1.9188, & m_1 &= 1.5353, & \beta_2 &= 1.9907, & m_2 &= 12.4664 \end{aligned} \] The plot is filled with a bin size of 5.84GeV.

Observed(expected) upper limits on the $\sigma\mathcal{B}$ for the X to $Y(\gamma\gamma)H(bb)$ signal with the different mass hypotheses are shown with solid(dashed) lines. The green and the yellow bands define the $\pm 68\%$ and $\pm 95\%$ uncertainty bands, respectively. For visualization purposes, the upper limit for mass points with different $m_X$ has been multiplied with a constant factor quoted on the right of each band. Mass points with $m_X$ ranging from 600 to 1000GeV are shown.

Observed(expected) upper limits on the $\sigma\mathcal{B}$ for the X 5p $Y(\gamma\gamma)H(bb)$ signal with the different mass hypotheses are shown with solid(dashed) lines. The green and the yellow bands define the $\pm 68\%$ and $\pm 95\%$ uncertainty bands, respectively. For visualization purposes, the upper limit for mass points with different $m_X$ has been multiplied with a constant factor quoted on the right of each band. Mass points with $m_X$ ranging from 240 to 550GeV are shown.

Observed(expected) upper limits on the $\sigma\mathcal{B}$ for the X to $Y(\gamma\gamma)H(bb)$ signal with the different $m_Y$ hypotheses are shown with solid(dashed) lines. 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. This plot shows the set of mass points with the lowest $m_X = 240GeV$

Observed(expected) upper limits on the $\sigma\mathcal{B}$ for the X to $Y(\gamma\gamma)H(bb)$ signal with the different $m_Y$ hypotheses are shown with solid(dashed) lines. 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. This plot shows the set of mass points with the highest $m_{X} = 1000GeV$

Expected and observed 95% CL upper limits on $\sigma(\mathrm{pp}\rightarrow\mathrm{Z}^\prime+X)\mathcal{B}(\mathrm{Z}^\prime\rightarrow e\mu)$ as a function of the Z′ mass (110–500 GeV), at $\sqrt{s} =$ 13 TeV with 138 fb$^{-1}$.