QED corrections to charged-current elastic neutrino-nucleon scattering

Charged-current quasielastic scattering is the signal process in modern neutrino oscillation experiments and a tool for the reconstruction of the incoming neutrino energy. Exploiting effective field theory, we factorize neutrino-nucleon quasielastic cross sections into soft, collinear, and hard contributions. We evaluate soft and collinear functions from QED and provide a model for the hard contribution with expected infrared and collinear behavior. We account for logarithmically-enhanced higher-order corrections and evaluate cross sections and cross-section ratios quantifying the resulting uncertainty in detail. We present results for various conditions of modern and future accelerator-based neutrino experiments.