$\xi$ distributions for different jet $p_T$ bins.

$\xi$ distributions for different jet $p_T$ bins.

The $j_T/p_{T}^{\rm jet}$ distributions for different jet $p_T$ bins.

The $j_T/p_{T}^{\rm jet}$ distributions for different jet $p_T$ bins.

$r$ distributions for different jet $p_T$ bins.

An example of the measured energy distribution in a single OHCal tower, showing the MIP distribution from a GEANT-4 simulation of cosmic-ray muons from EcoMug.

$\frac{dE_T}{d\eta}$ measurements in Au+Au collisions at $\sqrt{s_\mathrm{_{NN}}} = 200$ GeV over the pseudorapidity range $\left|\eta\right| < 1.1$.

Measurement of $\frac{dE_T}{d\eta}$ in 0-5% central Au+Au events as a function of $\eta$ over the range $\left|\eta\right| < 1.1$.

Measured $\frac{dE_T}{d\eta}$ normalized by the estimated number of participant pairs ($0.5$$N_{part}$), as a function of $N_{part}$, using the full calorimeter system.

Measured $\frac{dE_T}{d\eta}$ normalized by the estimated number of participant pairs ($0.5$$N_{part}$), as a function of $N_{part}$, predictions from AMPT.

Measured $\frac{dE_T}{d\eta}$ normalized by the estimated number of participant pairs ($0.5$$N_{part}$), as a function of $N_{part}$, predictions from EPOS.

Measured $\frac{dE_T}{d\eta}$ normalized by the estimated number of participant pairs ($0.5$$N_{part}$), as a function of $N_{part}$, predictions from HIJING.

The distributions of the variables used in the simultaneous fit for the SR. The black points with error bars represent the data and their statistical uncertainties, whereas the shaded band represents the predicted uncertainties. The bottom panel in each figure shows the ratio of the number of events observed in data to that of the total SM prediction. The last bin of each plot has been extended to include the overflow contribution.

Expected and observed 95% upper limits on the product of the cross section and branching fraction$\sigma(\mathrm{pp} \ ightarrow W\mathrm{a})\mathcal{B}(W ightarrow \ell^{+} v_{\ell})\mathcal{B}(\mathrm{a} \rightarrow Z\gamma)\mathcal{B}(Z \rightarrow \ell^{+} \ell^{-})$ s a function of the ALP mass from 110 to 400 GeV

Expected and observed 95% upper limits on the photophobic ALP model parameter $1/f_{\mathrm{a}}$ as a function of ALP mass reinterpreted from $1/f_{\mathrm{a}}=2~\mathrm{TeV}^{-1}$

$r_{q}$, Gluon jets, $500~\text{GeV} \leq p_T < 600~\text{GeV}$, Gluon $\eta$, Fig 5

$r_{q}$, Gluon jets, $600~\text{GeV} \leq p_T < 800~\text{GeV}$, Gluon $\eta$, Fig 5

$r_{q}$, Gluon jets, $800~\text{GeV} \leq p_T < 1200~\text{GeV}$, Gluon $\eta$, Fig 5

$r_{q}$, Gluon jets, $1200~\text{GeV} \leq p_T < 2500~\text{GeV}$, Gluon $\eta$, Fig 5

$r_{q}$, Quark jets, $240\text{GeV} \leq p_T < 300~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, Quark jets, $300~\text{GeV} \leq p_T < 400~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, Quark jets, $400~\text{GeV} \leq p_T < 500~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, Quark jets, $500~\text{GeV} \leq p_T < 600~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, Quark jets, $600~\text{GeV} \leq p_T < 800~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, Quark jets, $800~\text{GeV} \leq p_T < 1200~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, Quark jets, $1200~\text{GeV} \leq p_T < 2500~\text{GeV}$, Quark $\eta$, Fig 5

$r_{q}$, mixed, $240\text{GeV} \leq p_T < 300~\text{GeV}$, Central $\eta$, Fig 1

$r_{q}$, mixed, $240\text{GeV} \leq p_T < 300~\text{GeV}$, Forward $\eta$, Fig 1

$r_{q}$, mixed, $300~\text{GeV} \leq p_T < 400~\text{GeV}$, Central $\eta$, Fig 1

$r_{q}$, mixed, $300~\text{GeV} \leq p_T < 400~\text{GeV}$, Forward $\eta$, Fig 1

$r_{q}$, mixed, $400~\text{GeV} \leq p_T < 500~\text{GeV}$, Central $\eta$, Fig 1

$r_{q}$, mixed, $400~\text{GeV} \leq p_T < 500~\text{GeV}$, Forward $\eta$, Fig 1

$r_{q}$, mixed, $500~\text{GeV} \leq p_T < 600~\text{GeV}$, Central $\eta$, Fig 1

$r_{q}$, mixed, $500~\text{GeV} \leq p_T < 600~\text{GeV}$, Forward $\eta$, Fig 1

$r_{q}$, mixed, $600~\text{GeV} \leq p_T < 800~\text{GeV}$, Central $\eta$, Fig 1

$r_{q}$, mixed, $600~\text{GeV} \leq p_T < 800~\text{GeV}$, Forward $\eta$, Fig 1

$Moment1$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 2(a)

$Moment1$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Forward $\eta$, Fig 2(b)

$Moment1$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Gluon $\eta$, Fig 6(a)

$Moment1$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Quark $\eta$, Fig 6(b)

$Moment2$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 2(a)

$Moment2$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Forward $\eta$, Fig 2(b)

$Moment2$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Gluon $\eta$, Fig 6(a)

$Moment2$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Quark $\eta$, Fig 6(b)

$Moment3$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 2(a)

$Moment3$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Forward $\eta$, Fig 2(b)

$Moment3$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Gluon $\eta$, Fig 6(a)

$Moment3$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Quark $\eta$, Fig 6(b)

$Moment4$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 2(a)

$Moment4$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Forward $\eta$, Fig 2(b)

$Moment4$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Gluon $\eta$, Fig 6(a)

$Moment4$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Quark $\eta$, Fig 6(b)

$Moment5$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 2(a)

$Moment5$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Forward $\eta$, Fig 2(b)

$Moment5$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Gluon $\eta$, Fig 6(a)

$Moment5$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Quark $\eta$, Fig 6(b)

$Moment6$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 2(a)

$Moment6$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Forward $\eta$, Fig 2(b)

$Moment6$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Gluon $\eta$, Fig 6(a)

$Moment6$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Quark $\eta$, Fig 6(b)

$Cumulant4$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(a)

$Cumulant5$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(b)

$Cumulant6$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(c) and 3(d)

$Cumulant22$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(a)

$Cumulant23$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(b)

$Cumulant222$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(c)

$Cumulant33$, 240\text{GeV} \leq p_T < 800~\text{GeV}, Central $\eta$, Fig 3(d)

Observed and expected 95 % CL exclusion limits on $\tan\beta$ as a function of $m_{H^{\pm}}$, shown in the context of the mh125 scenario, for $m_{H^{\pm}}>150$ GeV and $(1 \leq \tan\beta \leq 60)$. The surrounding shaded bands correspond to the 1$\sigma$ and 2$\sigma$ confidence intervals around the expected limit.

Observed and expected 95 % CL exclusions on $\tan\beta$ as a function of $m_{H^{\pm}}$ derived from exclusion limits on $\mathrm{\cal{B}}(t\to bH^+)\times \mathrm{\cal{B}}(H^+ \to \tau \nu)$, for Type I 2HDM low mass scenario. The surrounding shaded bands correspond to the 1$\sigma$ and 2$\sigma$ confidence intervals around the expected limit.

Observed and expected 95 % CL exclusions on $\tan\beta$ as a function of $m_{H^{\pm}}$ derived from exclusion limits on $\mathrm{\cal{B}}(t\to bH^+)\times \mathrm{\cal{B}}(H^+ \to \tau \nu)$, for Lepton Specific 2HDM low mass scenario. The surrounding shaded bands correspond to the 1$\sigma$ and 2$\sigma$ confidence intervals around the expected limit.

The measured differential cross-sections and the predictions from the GM-VFNS calculation for the $D_s^\pm$ meson in bins of $p_T$ for $|\eta| < 2.5$. The statistical, systematic (excluding branching ratio) and branching ratio uncertainties are shown separately for data, while the total theory uncertainties are shown for GM-VFNS.

Inclusive $D^\pm$ meson production cross-sections in different fiducial volumes defined by $|\eta|<2.5$ and different $p_T$ regions. For the ATLAS measurements, the statistical, systematic (excluding branching ratio) and branching ratio uncertainties are shown separately; for the theoretical predictions, the total theoretical uncertainties are shown.

Inclusive $D_s^\pm$ meson production cross-sections in different fiducial volumes defined by $|\eta|<2.5$ and different $p_T$ regions. For the ATLAS measurements, the statistical, systematic (excluding branching ratio) and branching ratio uncertainties are shown separately; for the theoretical predictions, the total theoretical uncertainties are shown.

The distribution of the $p_\mathrm{T}{}_{\mu\mathrm{-had}}^\mathrm{col}$ in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR_\text{std} selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR_\text{tight} selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distributions of $m_{\mu\mathrm{-had}}^\mathrm{col}$ corresponding to the SR_\text{tight}^\text{std} selection criteria defined in the text. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top-quark, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic sources.

The distribution of $\Delta\phi^\mathrm{signed}_{\mu-MET}$ with all other event selection criteria applied in the SR; the straight lines indicate the positions of the selection requirements. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of $\Delta\phi^\mathrm{signed}_{\mu-MET}$ with all other event selection criteria applied in the VR; the straight lines indicate the positions of the selection requirements. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $m_{\mu\mathrm{-had}}^\mathrm{col}$ in the SR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $m_{\mu\mathrm{-had}}^\mathrm{col}$ in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the SR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the muon removed from the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the SR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the muon removed from the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the VR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the leading jet in the SR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $p_\mathrm{T}$ of the leading jet in the VR. `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $\Delta{R}_{\tau\tau}^\mathrm{reco}$ between the muon and the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the SR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the $\Delta{R}_{\tau\tau}^\mathrm{reco}$ between the muon and the $\tau_\mathrm{had}^{\mu\mkern-10mu\backslash}$ in the VR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the reconstructed $E_\mathrm{T}^\mathrm{miss}$ in the SR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The distribution of the reconstructed $E_\mathrm{T}^\mathrm{miss}$ in the VR `$Z(\rightarrow\tau\tau)+\text{jets}$' represents the contributions from the signal process. `Diboson' indicates the contributions from $WW$, $WZ$, and $ZZ$ processes. `Top' represents the predicted contributions from the $t\bar{t}$, single-top, and $tW$ processes. `Other' includes the contributions from the $Z(\rightarrow\ell\ell)$+jets, $W$+jets, and Higgs boson processes. The uncertainties shown include both statistical and systematic errors.

The observed and expected ($\pm2\sigma$) upper limits at 95% CL on the branching ratio for $H\rightarrow aa\rightarrow \gamma\gamma\tau\tau$ as a function of the resonance mass hypothesis $m_{a}$.

The polynomial parameterisation of the total signal selection efficiency as a function of $m_{a}$, defined as the fraction of the reconstructed and selected events out of the total number of events in the signal simulated samples.

The relative systematic uncertainties of the fitted number of neutrino interactions.

The relative systematic uncertainties of the fitted number of anti-neutrino interactions.

The relative systematic uncertainties of the fitted number of neutrino and anti-neutrino interactions.

Number of observed CC $\nu_{\mu}$ neutrino candidate events in data and simulation.

Number of observed CC $\nu_{\mu}$ neutrino candidate events per inv. bin width.

Number of CC $\nu_{\mu$} neutrino interactions in the fiducial volume.

Number of CC $\nu_{\mu$} neutrino interactions in the fiducial volume per bin width.

Number of CC $\bar{nu}_{\mu$} neutrino interactions in the fiducial volume per bin width.

Number of CC $\nu_{\mu}$ and $\bar{nu}_{\mu$} neutrino interactions in the fiducial volume per bin width.

Neutrino cross section

Anti-neutrino cross section

Neutrino and anti-neutrino cross section

Neutrino cross section divided by energy.

Anti-neutrino cross section divided by energy.

Neutrino and anti-neutrino cross section divided by energy.

Neutrino flux divided by the cross sectional area of the fiducial volume.

Anti-Neutrino flux divided by the cross sectional area of the fiducial volume.

Neutrino and anti-Neutrino flux divided by the cross sectional area of the fiducial volume.

Neutrino flux per bin width divided by the cross sectional area of the fiducial volume.

Anti-neutrino flux per bin width divided by the cross sectional area of the fiducial volume.

Neutrino and anti-neutrino flux per bin width divided by the cross sectional area of the fiducial volume.

Number of neutrino interactions from pion and kaon decays.

Covariance matrix of the fitted number of neutrinos from pion and kaon decays.

Response matrix to unfold the reconstructed, calibrated muon momentum $q/p^{'}_{\mu}$ to the true neutrino energy $-L/E_{\nu}$.

Distribution of the number of clusters in the IFT for neutrino-like data, muon-like data, and simulation.

Distribution of the muon angle for neutrino-like data, muon-like data, and simulation.

Distribution of the muon charge over momentum for neutrino-like data, muon-like data, and simulation.

Efficiency in bins of the neutrino energy $-L/E_{\nu}$.

Covariance matrix from the likelihood of the number of neutrino interactions in bins of the neutrino energy $-L/E_{\nu}$.