Radiative corrections to neutron beta decay and (anti)neutrino-nucleon scattering from low-energy effective field theory

We study radiative corrections to neutron beta decay and low-energy (anti)neutrino-nucleon scattering within a top-down effective field theory approach. As it was recently shown, a few electromagnetic and electroweak low-energy coupling constants in heavy-baryon chiral perturbation theory are yet to be determined. Performing matching to the four-fermion effective field theory, we relate these low-energy constants to correlation functions of vector and axial-vector currents. Such relations allow us to clarify explicitly scheme dependence for radiative corrections to neutron decay and low-energy charged-current (anti)neutrino scattering, to provide a robust prediction of leading in the electromagnetic coupling constant contributions, and to achieve a clear separation of short-distance from long-distance contributions.