Towards NNLO corrections to muon-electron scattering

TL;DR

This paper develops a theoretical framework for NNLO QED corrections in muon-electron scattering, crucial for the MUonE experiment's goal to precisely determine the muon g-2 contribution.

Contribution

It provides the first complete calculation of fixed order NNLO leptonic corrections with full mass effects for muon-electron scattering.

Findings

Virtual NNLO leptonic corrections computed with complete mass effects.

Supports high-precision theoretical predictions for MUonE.

Enhances the accuracy of hadronic contribution measurements.

Abstract

The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of the order of 10ppm demands for high-precision predictions, including all the relevant radiative corrections. To aid the effort, the theoretical formulation for the fixed order NNLO QED corrections are described and the virtual NNLO leptonic corrections are calculated with complete mass effects.