Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon

Abstract

Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated including next-to-next-toleading-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(α 4 ). Here, we estimate these contributions by analyzing the respective cuts of the diagrams, suggesting that the impact is limited to 1 × 10 −11 and thus negligible at the level of the final precision of the Fermilab g − 2 experiment.

Kaon electromagnetic form factors in dispersion theory

“…The last two applications concern the anomalous magnetic moment of the muon, whose experimental world average [112][113][114][115][116] a exp µ = 116 592 061(41) × 10 −11 (44) currently displays a 4.2σ discrepancy to the Standard-Model (SM) prediction [10,12,24,25,34,[37][38][39]105,[117][118][119][120][121][122][123][124][125][126][127][128][129][130][131][132][133][134][135][136] a SM µ = 116 591 810(43) × 10 −11 .…”