Reconstruction level differential cross section spectla, obtained for the central acceptance, $|\eta| < 3$, for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology compared to the to the EPOS-LHC predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

The number of high purity tracksin the first $\eta$ bin after a gap of $4.5 \leq \Delta\eta^F < 5.0$ for events with the Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

The transeverse momentum of high purity tracksin the first $\eta$ bin after a gap of $4.5 \leq \Delta\eta^F < 5.0$ for events with the Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

The total energy of all Particle Flow candidatesin the first $\eta$ bin after a gap of $4.5 \leq \Delta\eta^F < 5.0$ for events with the Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV

Unfolded diffraction enhanced differential cross section for events with Pomeron-Lead ($\mathrm{I\!P}\mathrm{Pb}$) topology, defined on the region $|\eta| < 5.2$, compared to hadron level predictions of the MC generators. The data are corrected for the contribution from events with undetectable energy in the HF calorimeter adjacent to the rapidity gap. The corrections are obtained using the EPOS-LHC MC sample. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffraction enhanced differential cross section for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology, defined on the region $|\eta| < 5.2$, compared to hadron level predictions of the MC generators. The data are corrected for the contribution from events with undetectable energy in the HF calorimeter adjacent to the rapidity gap. The corrections are obtained using the EPOS-LHC MC sample. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Lead ($\mathrm{I\!P}\mathrm{Pb}$) topology, compared to the to the hadron-level EPOS-LHC predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology, compared to the to the hadron-level EPOS-LHC predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Lead ($\mathrm{I\!P}\mathrm{Pb}$) topology, compared to the to the hadron-level QGSJET II predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Unfolded diffractive enhanced differential cross section spectla for events with Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology, compared to the to the hadron-level QGSJET II predictions, broken down into the non-diffractive (ND), central diffractive (CD), single diffractive (SD) and double diffractive (DD) components. Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

Reconstruction level diffraction enhanced differential cross section spectrum for Pomeron-Proton ($\mathrm{I\!P}\mathrm{p} + \gamma \mathrm{p}$) topology corrected for the contribution from events with undetectable energy in the HF calorimeter adjacent to the rapidity gap, compared with the spectrum obtained with events satisfying the ZDC veto requirement $E_{ZDC−} < 1 \mathrm{~TeV}$ which selects only the events without lead nuclear break up (without correction for HF undetectable energy). Forward Rapidity Gap definition: $|\eta| < 2.5$: $p_{T}^{track} < 200$ MeV and $\sum \limits_{bin} E^{PF} < 6$ GeV $|\eta| \in [2.5,3.0]$: $\sum \limits_{bin} E_{neutral}^{PF} < 13.4$ GeV $|\eta| > 3.0$: No particles

The frequentist $3\sigma$ confidence region in $\sin^2(2\theta)$ $\Delta m^2$ for a 2-neutrino muon-to-electron oscillation fit.

The test-statistic $-2\ln\mathcal{L}$ as a function of $\Delta m^2$ and $\sin^2(2\theta)$ for a 2-neutrino muon-to-electron oscillation fit.

Observed NuE data and background prediction for arXiv:2006.16883

Observed NuMu data and prediction for arXiv:2006.16883

NuMu to NuE oscillation simulation for arXiv:2006.16883. Used used for the combined fit and the neutrino-mode analysis. ntuple has 17,204 predicted muon-to-electron neutrino and antineutrino full transmutation events simulated for the neutrino-mode beam, and contains information on reconstructed neutrino energy ($E_\text{vis}$), true neutrino energy, neutrino baseline, and event weight for each event.

Observed NuEBar data and background prediction for arXiv:2006.16883

Observed NuMuBar data and prediction for arXiv:2006.16883

NuMuBar to NuEBar oscillation simulation for arXiv:2006.16883. Used only for the combined fit. ntuple has 117,949 predicted muon-to-electron neutrino and antineutrino full transmutation events simulated for the antineutrino-mode beam, and contains information on reconstructed neutrino energy ($E_\text{vis}$), true neutrino energy, neutrino baseline, and event weight for each event. This simulation is only used for the combined fit.

NuMuBar to NuEBar oscillation simulation for arXiv:1207.4809. Used only for the antineutrino-mode analysis. ntuple has 86,403 predicted muon-to-electron neutrino and antineutrino full transmutation events simulated for the antineutrino-mode beam, and contains information on reconstructed neutrino energy ($E_\text{vis}$), true neutrino energy, neutrino baseline, and event weight for each event. This simulation is only used for the antineutrino-mode analysis.

The combined fractional covariance matrix for arXiv:2006:16883 includes bins for six classes of events in the following order: 1) neutrino-mode muon-to-electron full transmutation events, 2) neutrino-mode electron neutrino background events, 3) neutrino-mode muon neutrino CCQE events, 4) antineutrino-mode muon-to-electron full transmutation events, 5) antineutrino-mode electron antineutrino background events, 6) antineutrino-mode muon antineutrino CCQE events. Of these categories, the fractional covariance matrix includes the data statistical and systematic errors for four categories: (anti)neutrino-mode electron (anti)neutrino background events, and (anti)neutrino-mode muon (anti)neutrino CCQE events. The (anti)neutrino-mode muon-to-electron full transmutation event portions of the fractional covariance matrix only include systematic errors. The six event classes map to four observable event classifications: 1) NuE-like which includes classes 1 and 2, 2) NuMu-like which includes class 3, 3) NuEBar-like which includes classes 4 and 5, and 4) NuMuBar-like which includes class 6.

The neutrino-mode fractional covariance matrix for arXiv:2006:16883 includes bins for three classes of events in the following order: 1) neutrino-mode muon-to-electron full transmutation events, 2) neutrino-mode electron neutrino background events, 3) neutrino-mode muon neutrino CCQE events. Of these categories, the fractional covariance matrix includes the data statistical and systematic errors for two categories: neutrino-mode electron neutrino background events, and neutrino-mode muon neutrino CCQE events. The neutrino-mode muon-to-electron full transmutation event portion of the fractional covariance matrix only includes systematic errors. The three event classes map to two observable event classifications: 1) NuE-like which includes classes 1 and 2, 2) NuMu-like which includes class 3.

The antineutrino fractional covariance matrix for arXiv:1207.4809 includes bins for three classes of events in the following order: 1) antineutrino-mode muon-to-electron full transmutation events, 2) antineutrino-mode electron antineutrino background events, 3) antineutrino-mode muon antineutrino CCQE events. Of these categories, the fractional covariance matrix includes the data statistical and systematic errors for two categories: antineutrino-mode electron antineutrino background events, and antineutrino-mode muon antineutrino CCQE events. The antineutrino-mode muon-to-electron full transmutation event portions of the fractional covariance matrix only include systematic errors. The three event classes map to two observable event classifications: 1) NuEBar-like which includes classes 1 and 2, and 2) NuMuBar-like which includes class 3.

NuE background fractional covariance matrix for arXiv:0704.1500

NuMu to NuE oscillation simulation for arXiv:0704.1500. ntuple file of 9,934 predicted muon-to-electron full transmutation events, containing information on reconstructed neutrino energy ($E_\text{vis}$), true neutrino energy, neutrino baseline, and event weight for each event.

NuMu to NuE oscillation fractional covariance matrix for arXiv:0704.1500

Low energy NuE data and background prediction for arXiv:0704.1500

NuE background low energy fractional covariance matrix for arXiv:0704.1500

NuMu to NuE oscillation low energy fractional covariance matrix for arXiv:0704.1500