Hagelstein, Franziska Elfriede; Pascalutsa, Vladimir (2018). Dissecting the Hadronic Contributions to (g − 2)μ by Schwinger’s Sum Rule. Physical review letters, 120(7) American Physical Society 10.1103/PhysRevLett.120.072002
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The theoretical uncertainty of (g − 2)μ is currently dominated by hadronic contributions. In order to express those in terms of directly measurable quantities, we consider a sum rule relating g − 2 to an integral of a photoabsorption cross section. The sum rule, attributed to Schwinger, can be viewed as a combination of two older sum rules: Gerasimov-Drell-Hearn and Burkhardt-Cottingham. The Schwinger sum rule has an important feature, distinguishing it from the other two: the relation between the anomalous magnetic moment and the integral of a photoabsorption cross section is linear, rather than quadratic. The linear property makes it suitable for a straightforward assessment of the hadronic contributions to (g − 2)μ. From the sum rule, we rederive the Schwinger α/2π correction, as well as the formula for the hadronic vacuumpolarization contribution. As an example of the light-by-light contribution, we consider the single-meson exchange.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Hagelstein, Franziska Elfriede |
Subjects: |
500 Science > 530 Physics |
ISSN: |
0031-9007 |
Publisher: |
American Physical Society |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
02 May 2018 10:14 |
Last Modified: |
05 Dec 2022 15:12 |
Publisher DOI: |
10.1103/PhysRevLett.120.072002 |
ArXiv ID: |
1710.04571 |
BORIS DOI: |
10.7892/boris.114796 |
URI: |
https://boris.unibe.ch/id/eprint/114796 |
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