PoS - Proceedings of Science
Volume 432 - 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2023) - Main session
Muon-electron scattering at NNLO with McMule
M. Rocco
Full text: pdf
Pre-published on: September 15, 2023
Published on: January 22, 2024
A recently proposed experiment, MUonE, aims to extract the hadronic vacuum polarisation contribution to the muon $g-2$ from muon-electron scattering at low energy. The extrapolation requires that both experimental and theoretical uncertainties do not exceed 10 ppm. This corresponds, at least, to next-to-next-to-leading-order (NNLO) QED corrections to $e \mu \to e \mu$. I will discuss the implementation of a Monte Carlo integrator for this process in the McMule framework [arXiv:2212.06481], which provides infrared-safe differential results at said order in QED. An approximation of the MUonE setup provides some phenomenological results and sheds light on the need for beyond-NNLO corrections, which are currently under study within McMule.
DOI: https://doi.org/10.22323/1.432.0076
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