Muon-electron scattering at NNLO

Author(s)
A. Broggio, T. Engel, A. Ferroglia, M. K. Mandal, P. Mastrolia, M. Rocco, J. Ronca, A. Signer, W. J. Torres Bobadilla, Y. Ulrich, M. Zoller
Abstract

We present the first calculation of the complete set of NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic corrections as well as the photonic subset that only corrects the electron or the muon line are included with full mass dependence. The genuine four-point two-loop topologies are computed as an expansion in the small electron mass, taking into account both, logarithmically enhanced as well as constant mass effects using massification. A fast and stable implementation of the numerically delicate real-virtual contribution is achieved by combining OpenLoops with next-to-soft stabilisation. All matrix elements are implemented in the McMule framework, which allows for the fully-differential calculation of any infrared-safe observable. This calculation is to be viewed in the context of the MUonE experiment requiring a background prediction at the level of 10 ppm. Our results thus represent a major milestone towards this ambitious precision goal.

Organisation(s)
Particle Physics
External organisation(s)
Paul Scherrer Institute, Universität Zürich (UZH), Albert-Ludwigs-Universität Freiburg, City University of New York, Istituto Nazionale di Fisica Nucleare, Sezione di Padova , University of California, Los Angeles, University of Padova, Università Degli Studi Roma Tre, Istituto Nazionale di Fisica Nucleare (INFN), Roma, Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Durham University
Journal
Journal of High Energy Physics
Volume
2023
No. of pages
34
ISSN
1029-8479
DOI
https://doi.org/10.1007/JHEP01(2023)112
Publication date
12-2022
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 103034 Particle physics
Keywords
ASJC Scopus subject areas
Nuclear and High Energy Physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/f9144c3a-8a11-4bac-9946-0f639d4ae095