Single pion production in electron-proton interactions

Abstract: This paper presents an extension of the MK single pion production model \cite{MK, MK2} to high hadron invariant mass ($W$) and high momentum transfer to conform to the predictions of perturbative QCD due to quark-hadron duality. New form factors for several resonant interactions and non-resonant background in the electron-nucleon cross-sections are determined taking into account the experimental data and improved evaluation techniques. Fits to electron-proton scattering data are used to calculate the vector-current form factors, and to assign uncertainties to the constrained free parameters of the model. The %hadron currents results from this work can be used to determine the vector current in the corresponding neutrino-nucleon cross-sections, which are an important input for event generators in long baseline neutrino oscillation measurements.