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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

Pion light-by-light contributions to the muon g − 2

Author

  • Johan Bijnens
  • Johan Relefors

Summary, in English

This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon g − 2. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD of HLbL. The argument is based on the dominance of pseudo-scalar meson exchange. In the second part, we revisit the pion loop HLbL contribution to the muon anomalous magnetic moment. We study it in the framework of some models studied earlier, pure pion loop, full VMD and hidden local symmetry for inclusion of vector mesons. In addition we study possible ways to include the axial-vector meson. The main part of the work is a detailed study of how the different momentum regions contribute. We derive a short distance constraint on the γ*γ* → ππ amplitude and use this as a constraint on the models used for the pion loop. As a byproduct we present the general result for integration using the Gegenbauer polynomial method.

Department/s

  • Theoretical Particle Physics
  • Department of Astronomy and Theoretical Physics

Publishing year

2016-09-01

Language

English

Publication/Series

Journal of High Energy Physics

Volume

2016

Issue

9

Document type

Journal article

Publisher

Springer

Topic

  • Subatomic Physics

Keywords

  • Chiral Lagrangians
  • Lattice QCD
  • Precision QED

Status

Published

ISBN/ISSN/Other

  • ISSN: 1029-8479