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arXiv · 2105.08046

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

Matthias Heller
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Abstract

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.

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Matthias Heller. 2021-05-17. Planar two-loop integrals for $\mathbf{\mu e}$ scattering in QED with finite lepton masses. https://arxiv.org/abs/2105.08046

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