Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited

Dec, 2003
16 pages
Published in:
  • Phys.Rev.D 70 (2004) 113006
e-Print:
Report number:
  • UH-511-1041-03,
  • FTPI-MINN-03-36,
  • UMN-TH-2224-03

Citations per year

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Abstract:
We discuss hadronic light-by-light scattering contribution to the muon anomalous magnetic moment a_\mu^{\rm lbl}, paying particular attention to the consistent matching between the short- and the long-distance behavior of the light-by-light scattering amplitude. We argue that the short-distance QCD imposes strong constraints on this amplitude overlooked in previous analyses. We find that accounting for these constraints leads to approximately 50 per cent increase in the central value of a_\mu^{\rm lbl}, compared to existing estimates. The hadronic light-by-light scattering contribution becomes a_\mu^{\rm lbl}=136(25) \times 10^{-11}, thereby shifting the Standard Model prediction closer to the experimental value.
  • 13.40.Em
  • 14.40.Aq
  • 14.60.Ef
  • 12.38.Lg
  • muon: magnetic moment
  • vacuum polarization: hadronic
  • photon: scattering amplitude
  • quantum chromodynamics
  • operator product expansion
  • pseudoscalar meson: exchange