Moment Analysis of Hadronic Vacuum Polarization - Proposal for a lattice QCD evaluation of $g_{\mu }-2$

Abstract

I suggest a new approach to the determination of the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon $a_{\mu }^{\mathrm{HVP}}$ in lattice QCD. It is based on properties of the Mellin transform of the hadronic spectral function and their relation to the HVP self energy in the Euclidean. I show how $a_{\mu }^{\mathrm{HVP}}$ is very well approximated by a few moments associated to this Mellin transform and how these moments can be evaluated in lattice QCD, providing thus a series of tests when compared with the corresponding determinations using experimental data.

References in corpus (2)

• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation

Cited by in corpus (5)

• On Constraints Between $\Delta {\alpha }_{\mathrm{had}}(M_Z^2)$ and $(g_{\mu }-2{)}_{\mathrm{HVP}}$
• A New Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to $(g-2{)}_{\mu }$
• Vector two-point functions in finite volume using partially quenched chiral perturbation theory
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Anomalous magnetic moment of the muon, a hybrid approach