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. The fixed-order NNLO radiative corrections due to the emission of virtual and real leptonic pairs are described and their numerical impact is discussed for typical event selections of the MUonE experiment, by means of the upgraded Monte Carlo code Mesmer.
Highlights
Magnetic moment of the muon below the level of 0.2ppm
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
This calls for a major effort on the theory side in order to reduce the uncertainty in the SM prediction, which is dominated by non-perturbative strong interaction effects as given by the leading order hadronic correction, aHμ LO, and the hadronic light-by-light contribution
Summary
These diagrams contribute to the NNLO corrections to the QED vertex form factor; b) box corrections, which are IR divergent (figure 6) The sum of these corrections, the ones in items 3 and 4 cancel the IR divergences of the sub-set dσγα, described below;. Dσγα includes the interplay between real photon radiation and leptonic loop insertions, in particular the interference between tree-level diagrams for the process μ±e− → μ±e−γ and the same class of diagrams with insertion of the leptonic loop on the. The interference between different real pair radiation diagrams is expected to give a partial cancellation with its virtual counterpart. A careful study of the impact of the peripheral diagrams is necessary in view of their potentially large contribution, as will be discussed
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