We present the closed analytic expression of the form factors of the two-loop QED vertex amplitude for on-shell electrons of finite mass m and arbitrary momentum transfer S=−Q2. The calculation is carried out within the continuous D-dimensional regularization scheme, with a single continuous parameter D, the dimension of the space-time, which regularizes at the same time UltraViolet (UV) and InfraRed (IR) divergences. The results are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4.
@article{arxiv.hep-ph/0307295,
title = {QED vertex form factors at two loops},
author = {R. Bonciani and P. Mastrolia and E. Remiddi},
journal= {arXiv preprint arXiv:hep-ph/0307295},
year = {2015}
}