This paper reports the first T2K measurement of the transverse kinematic imbalance in the single-${\pi }^{+}$ production channel of neutrino interactions. We measure the differential cross sections in the muon-neutrino charged-current interaction on hydrocarbon with a single ${\pi }^{+}$ and at least one proton in the final state, at the ND280 off axis near detector of the T2K experiment. The extracted cross sections are compared to the predictions from different neutrino-nucleus interaction event generators. Overall, the results show a preference for models that have a more realistic treatment of nuclear medium effects including the initial nuclear state and final-state interactions.

• Received 9 February 2021
• Accepted 28 April 2021

DOI:https://doi.org/10.1103/PhysRevD.103.112009

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Published by the American Physical Society