We present analytic results for one of two types of planar QED two-loop integrals for μe scattering including finite lepton masses. No approximations are made, such that the results are valid not only in the limit of a small electron mass. The results are expressed in terms of multiple polylogarithms with algebraic function arguments in a representation which allows for fast numerical evaluation in the physical phase-space.
@article{arxiv.2105.08046,
title = {Planar two-loop integrals for $\mathbf{\mu e}$ scattering in QED with finite lepton masses},
author = {Matthias Heller},
journal= {arXiv preprint arXiv:2105.08046},
year = {2021}
}