Mixed Leptonic and Hadronic Corrections to the Anomalous Magnetic Moment of the Muon

Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated including next-to-next-to-leading-order insertions of hadronic vacuum polarization and next-to-leading-order corrections to hadronic light-by-light scattering. This leaves a set of mixed leptonic and hadronic corrections in the form of double-bubble topologies as the only remaining hadronic effect at O(alpha(4)). Here, we estimate these contributions by analyzing the respective cuts of the diagrams, suggesting that the impact is limited to less than or similar to 1 x 10(-11) and thus negligible at the level of the final precision of the Fermilab g - 2 experiment.

Automated summary

Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated, and it has been found that the remaining hadronic effect at O(alpha(4)), in the form of double-bubble topologies, has a negligible impact on the final precision of the Fermilab g-2 experiment.