We report the measurements of the single and double differential cross section of muon neutrino charged-current interactions on carbon with a single positively charged pion in the final state at the T2K off-axis near detector using $5.56\times {10}^{20}$ protons on target. The analysis uses data control samples for the background subtraction and the cross section signal, defined as a single negatively charged muon and a single positively charged pion exiting from the target nucleus, is extracted using an unfolding method. The model-dependent cross section, integrated over the T2K off-axis neutrino beam spectrum peaking at 0.6 GeV, is measured to be $\mathrm{<ruby><rb>\sigma </rb><rt>しぐま</rt></ruby>}=(11.76\pm 0.44(\mathrm{stat})\pm 2.39(\mathrm{syst}))\times {10}^{-40}{\mathrm{cm}}^2{\text{nucleon}}^{-1}$. Various differential cross sections are measured, including the first measurement of the Adler angles for single charged pion production in neutrino interactions with heavy nuclei target.

• Received 11 September 2019
• Revised 12 December 2019

DOI:https://doi.org/10.1103/PhysRevD.101.012007

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Published by the American Physical Society