Hadronic light-by-light scattering contribution to the muon g-2 from lattice QCD : Methodology

Abstract

The hadronic light-by-light scattering contribution to the muon g-2 is the most troublesome component of its theoretical prediction; (1) it cannot be determined from the other measurable quantities, (2) the dimensional argument and the estimation based on hadronic models imply that the magnitude of this contribution may be comparable to the discrepancy between the standard model prediction and the experimental value. The direct approach to evaluate the hadronic light-by-light scattering contribution requires the evaluation of the correlation function of {\it four} hadronic electromagnetic currents, and the summation of it over two independent four-momenta of off-shell photons, which is far from the reach of direct lattice simulation. Here we propose an alternative method using combined (QCD + QED) lattice simulations to evaluate the hadronic light-by-light scattering contribution.

arXiv comment6 pages, 1 figure, Talk presented at Lattice 2005 (weak matrix elements), Dublin, July 25-30, 2005, one reference added, text shortened accordingly

References in corpus (5)

• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon $g-2$
• Hadronic Light-by-light Scattering Effect on Muon g-2

Cited by in corpus (3)

• Lattice QCD and the anomalous magnetic moment of the muon
• Electromagnetic properties of hadrons with two flavors of dynamical domain wall fermions
• The connected and leading disconnected diagrams of the hadronic light-by-light contribution to muon $g-2$