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This paper reports the first T2K measurement of the transverse kinematicimbalance in the single-$\pi^+$ production channel of neutrino interactions. Wemeasure the differential cross sections in the muon-neutrino charged-currentinteraction on hydrocarbon with a single $\pi^+$ and at least one proton in thefinal state, at the ND280 off-axis near detector of the T2K experiment. Theextracted cross sections are compared to the predictions from differentneutrino-nucleus interaction event generators. Overall, the results show apreference for models which have a more realistic treatment of nuclear mediumeffects including the initial nuclear state and final-state interactions.

physical review. d/physical review. d.

First T2K measurement of transverse kinematic imbalance in the  muon-neutrino charged-current single-$\pi^+$ production channel containing at  least one proton