Data Release for First inclusive triple-differential measurement of the muon-antineutrino charged-current cross section using the NOvA Near Detector

This is the Data release for the NOvA NuMuBar CC Inclusive Cross section measurement 2026. The full collaboration author list is included as a supplementary file. We present the first measurement of the triple-differential muon antineutrino charged-current inclusive cross section, using the NOvA Near Detector and 12.5e20 protons on target data in the NuMI beam. The signal definition is NumuBar CC interactions within the fiducial volume of the NOvA near detector. Our measurement is the triple-differential cross section as a function of the final-state antimuon kinetic energy, cosine of final state antimuon angle with respect to the beam direction, and the available energy of interaction.Available energy is a proxy for visible hadronic energy, defined as the sum of the total energies of neutral pions and kinetic energies of protons and charged pions in the final state. Additionally, the total cross section for (anti)neutrino energy, the single differential cross section for Q^2 (four momentum transfer) are also published. This Data release zip file includes following files1. README.txt: It explains how to understand data in Data release zip file2. NOvA_DataRelease_2026_NuMuBarCC_Inclusive_CrossSectionAnalysis.root: This file includes the cross section results, and the total covariance matrices for statistical and systematic uncertainties. Strucure of this file is described later in this file.3. Mapping_ReducedBinNum_To_3DBinNums.txt: It contains a mapping from a 3D bin of Eavail, cosmu, and Tmu, phase space to individual Eavail, cosmu, and Tmu bin numbers. first index is 3D bin number, 2nd index is Eavail, 3rd index is cosmu, and 4th index is Tmu bin number. 3D bin (reduced bin) by proxy defines the phase-space of Tmu and cosmu where we report results.4. Mapping.C: an example root macro to show how to read the mapping file to get the cross section results and uncertainties. 3D bin numbers range from 1 to 459. An example output looks like below (Run it using the ROOT software): Command line: root -l -b -q 'Mapping.C(143)' Processing Mapping.C... 3D Bin Number: 143 Eavail bin: 2 (0.1 - 0.3 GeV) Cosmu bin: 6 (0.88 - 0.91) Tmu bin: 10 (1.3 - 1.45 GeV) Cross Section: 1.5475e-38 cm^{2}/GeV^{2}/nucleons Uncertainty: 2.26626e-39 cm^{2}/GeV^{2}/nucleons - Structure of NOvA_DataRelease_2026_NuMuBarCC_Inclusive_CrossSectionAnalysis.root - Results/3D_CrossSection/Tmu_slices: shows 1D slices in Tmu for Eavail and cosmu bins. Names of the Tmu histogram tells ranges of Eavail and cosmu. For example: Eavail_0.00_0.10_Cosine_0.50_0.74_Tmu, is a 1D Tmu result for Eavail = 0.0-0.1 GeV, and cosmu = 0.50-0.74 The 1D Tmu slices shows the cross section values and the error bars are the statistical and systematic uncertainties - Results/3D_CrossSection/Full_Space: shows the full phase-space results as a large 1D result. X-axis shows the Reduced Bin number which is the first index in the mapping Mapping_ReducedBinNum_To_3DBinNums.txt. This result can be used for doing chisq studies - Results/1D_Enu_CrossSection: shows 1D total cross section as a function of (anti)neutrino energy - Results/1D_Q2_CrossSection: shows 1D single differential cross section as a function of Q^2 (four momentum transfer) - Covariance_Matrices: shows total covariance matrices (statistical + systematic uncertainties) - hcov_3d: for triple differential cross section result as a function of reduced bin numbers. - hcov_enu: for total cross section as a function of (anti)neutrino energy - hcov_q2: for 1D single differential cross section as a function of Q^2 - Flux for this analysis is published below RHC_Flux_NOvA_ND_2017.root at https://publicdocs.fnal.gov/cgi-bin/ShowDocument?docid=8 Contacts for any questions about the data release and about the analysis:Prabhjot Singh ([e-mail])Linda Cremonesi ([e-mail])Jonathan Paley ([e-mail])Abbey Waldron ([e-mail])NOvA collaboration Spokespersons: Alex Himmel and Tricia Vahle ([e-mail])