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Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

Hermansson Truedsson, Nils LU ; Bijnens, Johan LU and Rodríguez Sánchez, Antonio LU (2019) In Physics Letters B
Abstract
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 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.
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author
organization
publishing date
type
Contribution to journal
publication status
submitted
subject
in
Physics Letters B
publisher
Elsevier
ISSN
0370-2693
project
Higher Order Calculations for Low Energy Precision Physics
language
English
LU publication?
yes
id
15d991d4-ad84-4cf4-bf56-7b03e1155863
alternative location
https://arxiv.org/pdf/1908.03331.pdf
date added to LUP
2019-08-12 14:36:29
date last changed
2019-08-21 16:05:38
@article{15d991d4-ad84-4cf4-bf56-7b03e1155863,
  abstract     = {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 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.},
  author       = {Hermansson Truedsson, Nils and Bijnens, Johan and Rodríguez Sánchez, Antonio},
  issn         = {0370-2693},
  language     = {eng},
  publisher    = {Elsevier},
  series       = {Physics Letters B},
  title        = {Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment},
  url          = {https://arxiv.org/pdf/1908.03331.pdf},
  year         = {2019},
}