The theory of hadronic light-by-light scattering contributing to the muon anomalous magnetic moment is reviewed. We present a model for the hadronic light-by-light scattering amplitude consistent with the shortdistance constraints from the operator product expansion.
Hadronic light-by-light scattering contribution to gμ − 2
✍ Scribed by Andreas Nyffeler
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 390 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0920-5632
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✦ Synopsis
We briefly review the current status of the hadronic light-by-light scattering correction to the muon g -2.
Then we present our semi-analytical evaluation of the pion-pole contribution, using a description of the pionphoton-photon transition form factor based on large-Nc and short-distance properties of QCD. We derive a two-dimensional integral representation which allows to separate the generic features from the model dependence, in order to better control the latter. Finally, we sketch an effective field theory approach to hadronic light-by-light scattering which yields the leading logarithmic terms that are enhanced by a factor Nc. It also shows that the modeling of hadronic light-by-light scattering by a constituent quark loop is not consistent with QCD.
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