Abstract
We revisit the observable used for the direct measurements of the electron's $g$ factor. This is done by considering the sub-leading effects of the large magnetic background field and virtual Standard Model processes. We find substantial corrections to the Landau levels of the electron. Implications for the observed magnetic moment and the tension between direct and indirect measurement are discussed.
Highlights
We revisit the observable used for the direct measurements of the electron’s g factor. This is done by considering the subleading effects of the large magnetic background field and virtual Standard Model processes
We address the problem of corrections to the anomalous magnetic moment of the electron with an effective Lagrangian approach
Theoretical calculations determine a relation between the value of (g − 2) and the fine-structure constant up to fifth order in α, α α2 α3 α4
Summary
Quantum electrodynamics (QED) is one of the cornerstones of our understanding of the electron, its properties, and interactions [1,2]. This theory allows performance of the interplay between theoretical prediction and experimental confirmation to unprecedented precision. Schwinger [3] and Luttinger [4] made the first theoretical calculations suggesting that the magnetic moment of the electron should differ from two. Over the decades, these calculations became more and more precise [5–7], such that they currently include even tenth order in perturbation theory (for a review see [8]). For recent developments concerning the anomalous magnetic moment of the muon, see [9]
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