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

TL;DR

This paper calculates detailed electroweak radiative corrections for parity-violating lepton-proton scattering up to two-loop level, highlighting their significance for current and future precision experiments probing physics beyond the standard model.

Contribution

It provides a covariant approach to compute quadratic and reducible two-loop electroweak corrections, which are crucial for high-precision measurements in lepton-proton scattering.

Findings

NNLO corrections are significant and must be included in experimental analyses.

Results are relevant for experiments like Qweak, P2, MOLLER, MUSE, and EIC.

Electroweak corrections impact searches for new physics at low energies.

Abstract

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.