NNLO QED contribution to the $\mu e\to \mu e$ elastic scattering

Abstract

We present the current status of the Next-to-Next-to-Leading Order QED contribution to the $\mu e$-scattering. Particular focus is given to the techniques involved to tackle the virtual amplitude and their automatic implementation. Renormalization of the amplitude will be also discuss in details.

9 pages, 5 figures, contribution to the Workshop on "Flavour changing and conserving processes" 2019 (FCCP2019), 29-31 August 2019, Villa Orlandi, Anacapri, Capri Island, Italy