Higher order electroweak radiative corrections in lepton-proton scattering using covariant approach

We perform detailed calculations of electroweak radiative corrections to parity violating lepton scattering with a proton target up to quadratic and reducible two-loop level using a covariant approach. Our numerical results are presented at energies relevant for a variety of existing and proposed experimental programs such as Qweak, P2, MOLLER, MUSE, and experiments at the EIC. Analysis shows that such corrections at the Next-to-Next-to-Leading Order (NNLO) are quite significant and have to be included in searches of physics beyond the standard model, matching the increasing precision of the future experimental programs at low-energy scales.