$e^+e^-\to\gamma\gamma^*$ at two loops in massless QED
We present an analytic computation of $e^+e^-\to\gamma\gamma^*$ at two loops in massless QED. We reconstruct the analytic form of the amplitudes from numerical evaluations over finite fields. We express the integrals in a basis of Goncharov polylogarithms to obtain compact expressions. These contributions are required for N$^3$LO predictions of the inclusive process $e^+e^-\to\gamma^*$ and for NNLO corrections for ISR measurements of $e^+e^-\to\gamma\gamma^*$.
Photon splitting corrections to soft-photon resummation
In this talk I will motivate the importance of including QED corrections in a systematic and automated manner. I will present an algorithm to add photon-splitting corrections to the Yennie-Frautschi-Suura-style soft-photon resummation available in the Sherpa Monte-Carlo event generator. Then, I will introduce different lepton dressing strategies which incorporate further leptons and hadrons in addition to the customary photons, and discuss their sensitivity to dressing parameters such as the cone size. I will then present some results for academic and realistic setups.