Vacuum polarization and hadronic contribution to muon g−2 from lattice QCD

2003/12/18 by M. Göckeler, R. Horsley, W. Kürzinger +3 · 4 citations
Physics and Astronomy · #Anomalous magnetic dipole moment #Fermion #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Muon #Non-perturbative #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Vacuum polarization #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2004.03.026

published as Nucl.Phys.B688:135-164,2004 · 38 pages, 15 figures

arxiv created 2003/12/18 · openalex publication_date 2004/04/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q² of about 2 GeV² the results are very close to the predictions of perturbative QCD. Below this scale we see signs of non-perturbative effects which we can describe by the use of dispersion relations. We use our results to estimate the light quark contribution to the muon's anomalous magnetic moment. We find the result 446(23) x 10^-10, where the error only includes statistical uncertainties. Finally we make some comments on the applicability of the Operator Product Expansion to our data.

Citations

• Scaling of nonperturbativelyO(a)<mml:mn/>-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants
• Review of particle properties
• Review of Particle Physics

Cited by

• Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Hadronic contributions to electroweak observables within DPT
• Transport properties of the quark-gluon plasma
• Lattice study of the vacuum polarization function and determination of the strong coupling constant