M{\o}ller scattering at NNLO

Understand

We present a calculation of the full set of next-to-next-to-leading-order QED corrections to unpolarised M{\o}ller scattering.

• This encompasses photonic, leptonic, and non-perturbative hadronic corrections and includes electron mass effects as well as hard photon radiation.
• The corresponding matrix elements are implemented in the Monte Carlo framework McMule allowing for the computation of fully-differential observables.
• As a first application we show results tailored to the kinematics and detector design of the PRad II experiment where a high-precision theory prediction for M{\o}ller scattering is required to achieve the targeted precision.