The advent of precision neutrino physics has resulted in detector technology (easily) capable of observing upwards of 10^5 charged current scattering events in the lifetime of an experiment. This naturally motivates a theoretical program targeting sub-G_F physics at the intensity frontier. In this talk I will discuss some examples of how large-scale neutrino detectors can search for weakly coupled BSM physics (e.g.\ millicharged particles) and SM-physics at O(α^2 GF^2} (e.g.\ neutrino trident production). Slides can be found here.