Measurement of the muon neutrino charged-current single ${\pi }^{+}$ production on hydrocarbon using the T2K off-axis near detector ND280

Abstract

We report the measurements of 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 $\sigma =(11.76\pm 0.44\text{(stat)}\pm 2.39\text{(syst)})\times 10^{-40}{\text{cm}}^2$~${\text{nucleon}}^{-1}$. 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.