Two-loop electroweak corrections to polarized Moller scattering are studied in two different schemes at low energies. We find the finite Q2 corrections to be well under control. The hadronic and perturbative QCD corrections to the γZ two-point function are incorporated through the weak mixing angle at low energies, which introduce an error of 0.08×10−3 in the weak charge of the electron QWe. Furthermore, by studying the scheme dependence, we obtain an estimate of the current perturbative electroweak uncertainty, δQWe≈0.23×10−3, which is five times smaller than the precision estimated for the MOLLER experiment (δQWe=1.1×10−3). Future work is possible to reduce the theory error further.
@article{arxiv.2202.11976,
title = {Hadronic effects in M{\o}ller scattering at NNLO},
author = {Jens Erler and Rodolfo Ferro-Hernández and Ayres Freitas},
journal= {arXiv preprint arXiv:2202.11976},
year = {2022}
}