Planar two-loop integrals for $\mathbf{\mu e}$ scattering in QED with finite lepton masses

Understand

We present analytic results for one of two types of planar QED two-loop integrals for $\mu e$ 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.