Schwehr, Jaclyn, authorWilson, Robert J., advisorBerger, Bruce, committee memberToki, Walter, committee memberMooney, Michael, committee memberBrandl, Alexander, committee member2018-06-122018-06-122018https://hdl.handle.net/10217/189398A measurement of the charged current single pion differential cross section in the pi-zero detector of the T2K experiment is presented as a function of reconstructed muon momentum and muon angle. This measurement is done with particular care taken to minimize model dependence throughout the analysis, specifically with careful signal definition and efficiency corrections. New methods for improving the reconstruction of low energy pions are included, as is a method for fitting background events induced by signal physics without introducing model dependence to the fit. Run 4 water-in data is used to make this measurement, which corresponds to an exposure of 1.63×1020 protons on target. The differential cross section measurement is made per nucleon for all targets in the fiducial volume of the pi-zero detector over muon angles of 0◦ to 90◦ with respect to the incident neutrino beam direction, and muon momenta from 150 MeV to 5 GeV. The measured cross sections are lower than those predicted by the default Rein Sehgal resonance and coherent models, favoring the Minoo resonance and Berger Sehgal coherent models.born digitaldoctoral dissertationsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.cross-sectionCC1pineutrinoText