The paper investigates contributions of Z, W and γ intermediate states to the parity-violating Moller scattering asymmetry up to two-loop level. Using the Yennie--Frautschi--Suura factorization form for amplitudes, we demonstrate that QED corrections, with an exception of vacuum-polarization effects, cancel at the asymmetry level. We obtain chiral amplitudes at Born, one-loop and partially at two-loop level: boxes with lepton self-energies, ladder boxes and decorated boxes. Our calculations are relevant for the ultra-precise 11 GeV MOLLER experiment planned at Jefferson Laboratory and future ILC experiments. The numerical comparision of the two-loop contributions with the experimental accuracy of MOLLER is provided.
@article{arxiv.1202.0378,
title = {Parity violating Moller scattering asymmetry up to the two-loop level},
author = {A. G. Aleksejevs and S. G. Barkanova and Yu. M. Bystritskiy and A. N. Ilyichev and E. A. Kuraev and V. A. Zykunov},
journal= {arXiv preprint arXiv:1202.0378},
year = {2012}
}