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

Text
PhysRevLett.120.072002.pdf  Published Version Available under License Creative Commons: Attribution (CCBY). Download (621kB)  Preview 
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: GerasimovDrellHearn and BurkhardtCottingham. 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 lightbylight contribution, we consider the singlemeson 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: 
00319007 
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 