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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory

Author

  • Johan Bijnens
  • Nils Hermansson-Truedsson
  • Laetitia Laub
  • Antonio Rodríguez-Sánchez

Summary, in English

The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared (Qi2) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three Qi2 are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.

Department/s

  • Theoretical Particle Physics

Publishing year

2020

Language

English

Publication/Series

Journal of High Energy Physics

Volume

2020

Issue

10

Document type

Journal article

Publisher

Springer

Topic

  • Subatomic Physics

Keywords

  • Nonperturbative Effects
  • Perturbative QCD
  • Precision QED

Status

Published

ISBN/ISSN/Other

  • ISSN: 1029-8479