First Differential Measurement of the Single ${\pi }^{+}$ Production Cross Section in Neutrino Neutral-Current Scattering

Abstract

Since its first observation in the 1970s, neutrino-induced neutral-current single positive pion production (NC1$π^+$) has remained an elusive and poorly understood interaction channel. This process is a significant background in neutrino oscillation experiments and studying it further is critical for the physics program of next-generation accelerator-based neutrino oscillation experiments. In this Letter we present the first double-differential cross-section measurement of NC1$π^+$ interactions using data from the ND280 detector of the T2K experiment collected in $ν$-beam mode. The measured flux-averaged integrated cross-section is $σ= (6.07 \pm 1.22 )\times 10^{-41} \,\, \text{cm}^2/\text{nucleon}$. We compare the results on a hydrocarbon target to the predictions of several neutrino interaction generators and final-state interaction models. While model predictions agree with the differential results, the data shows a weak preference for a cross-section normalization approximately 30% higher than predicted by most models studied in this Letter.