Dissecting the Hadronic Contributions to (g − 2)μ by Schwinger’s Sum Rule

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:

02 May 2018 10:14

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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