Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
Aug 9, 2019
5 pages
Published in:
- Phys.Lett.B 798 (2019) 134994
- Published: Nov 10, 2019
e-Print:
- 1908.03331 [hep-ph]
DOI:
- 10.1016/j.physletb.2019.134994 (publication)
Report number:
- LU TP 19-38
View in:
Citations per year
Abstract: (Elsevier)
We derive short-distance constraints for the hadronic light-by-light contribution (HLbL) to the anomalous magnetic moment of the muon in the kinematic region where the three virtual momenta are all large. We include the external soft photon via an external field leading to a well-defined Operator Product Expansion. We establish that the perturbative quark loop gives the leading contribution in a well defined expansion. We compute the first nonzero power correction. It is related to the magnetic susceptibility of the QCD vacuum. The results can be used as model-independent short-distance constraints for the very many different approaches to the HLbL contribution. Numerically the power correction is found to be small.Note:
- 6 pages
- muon: magnetic moment
- quantum chromodynamics: susceptibility
- susceptibility: magnetic
- quantum chromodynamics: vacuum state
- photon photon: scattering
- operator product expansion
- external field
- kinematics
- photon
- quark
References(24)
Figures(6)
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