Muon-electron scattering at NNLO: the hadronic corrections

Abstract

The Standard Model prediction for muon-electron scattering beyond leading order requires the inclusion of QCD contributions which cannot be computed perturbatively. At next-to- and next-to-next-to-leading order, they arise from one- and two-loop diagrams with hadronic vacuum polarization insertions in the photon propagator. We present their evaluation using the dispersive approach with hadronic $e^{+}{e}^{-}$ annihilation data and estimate their uncertainty. We find that these corrections are crucial for the analysis of future high-precision muon-electron scattering data, like those of the recently proposed MUonE experiment at CERN.

6 pages, 2 figures. v2: version published in PRL, references added

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Cited by in corpus (6)

• QED at NNLO with McMule
• Single ${\pi }^0$ production in $\mu e$ scattering at MUonE
• Theory for the MUonE experiment
• Universal structure of radiative QED amplitudes at one loop
• Status of the MUonE experiment
• Towards NNLO corrections to muon-electron scattering