Muon-neutrino-induced charged current cross section without pions: Theoretical analysis

Abstract

We calculate the charged current cross sections obtained at the T2K near detector for ${\nu }_{\mu }$-induced events without pions in the final state. The method used is quantum-kinetic transport theory. Results are shown first, as a benchmark, for electron inclusive cross sections on ${}^{12}$C and ${}^{16}$O to be followed with a detailed comparison with the data measured by the T2K collaboration on C${}_8$H${}_8$ and H${}_2$O targets. The contribution of 2p2h processes is found to be relevant mostly for backwards angles; their theoretical uncertainties are within the experimental uncertainties. Particular emphasis is then put on a discussion of events in which pions are first created, but then reabsorbed. Their contribution is found to be essential at forward angles.

Comments: Version essentially identical with published version in Phys. Rev. C