Lorentz-covariant coordinate-space representation of the leading hadronic contribution to the anomalous magnetic moment of the muon

Abstract

We present a Lorentz-covariant, Euclidean coordinate-space expression for the hadronic vacuum polarisation, the Adler function and the leading hadronic contribution to the anomalous magnetic moment of the muon. The representation offers a lot of flexibility for an implementation in lattice QCD. We expect it to be particularly helpful for the quark-line disconnected contributions.

arXiv comment7 pages, 2 figures

References in corpus (9)

• The Muon g-2
• Vector Correlators in Lattice QCD: methods and applications
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling
• Lattice Determination of the Hadronic Contribution to the Muon $g-2$ using Dynamical Domain Wall Fermions
• A new representation of the Adler function for lattice QCD
• Towards a precise lattice determination of the leading hadronic contribution to (g-2)_mu
• Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD

Cited by in corpus (10)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Lattice QCD and the anomalous magnetic moment of the muon
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Lattice QCD noise reduction for bosonic correlators through blocking
• Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Lattice calculation of the hadronic leading order contribution to the muon $g-2$