A complete, gauge-invariant computation of two loop virtual corrections involving closed fermion loops to the polarized M{\o}ller scattering asymmetry is presented. The set of contributions involving two closed fermion loops and the set involving one closed fermion loop are numerically similar in magnitude to the one-loop bosonic corrections and yield an overall correction of 1.3% relative to the tree-level asymmetry. We estimate sizes of remaining two-loop contributions and discuss implications for the upcoming MOLLER experiment.
@article{arxiv.1912.08220,
title = {Parity-Violating M{\o}ller Scattering at NNLO: Closed Fermion Loops},
author = {Yong Du and Ayres Freitas and Hiren H. Patel and Michael J. Ramsey-Musolf},
journal= {arXiv preprint arXiv:1912.08220},
year = {2021}
}
Comments
6 pages; v2: numerical error and few typos corrected, published version