Measurements of Neutrino Oscillation Parameters from the T2K Experiment Using 3.6×10^21 Protons on Target

The T2K experiment presents new measurements of neutrino oscillation parameters using 19.7(16.3)× 10^20 protons on target (POT) in (anti-)neutrino mode at the far detector (FD). Compared to the previous analysis, an additional 4.7× 10^20 POT neutrino data was collected at the FD. Significant improvements were made to the analysis methodology, with the near-detector analysis introducing new selections and using more than double the data. Additionally, this is the first T2K oscillation analysis to use NA61/SHINE data on a replica of the T2K target to tune the neutrino flux model, and the neutrino interaction model was improved to include new nuclear effects and calculations. Frequentist and Bayesian analyses are presented, including results on sin ^2θ _13 and the impact of priors on the δ _CP measurement. Both analyses prefer the normal mass ordering and upper octant of sin ^2θ _23 with a nearly maximally CP-violating phase. Assuming the normal ordering and using the constraint on sin ^2θ _13 from reactors, sin ^2θ _23=0.561^+0.021_-0.032 using Feldman–Cousins corrected intervals, and m^2_32=2.494_-0.058^+0.041× 10^-3 eV^2 using constant χ ^2 intervals. The CP-violating phase is constrained to δ _CP=-1.97_-0.70^+0.97 using Feldman–Cousins corrected intervals, and δ _CP=0,π is excluded at more than 90 2σ credible level using a flat prior in δ _CP, and just below 2σ using a flat prior in sinδ _CP. When the external constraint on sin ^2θ _13 is removed, sin ^2θ _13=28.0^+2.8_-6.5× 10^-3, in agreement with measurements from reactor experiments. These results are consistent with previous T2K analyses.