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 (7)

• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Vector Correlators in Lattice QCD: methods and applications
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• A new representation of the Adler function for lattice QCD
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Cited by in corpus (16)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Multiple Series Representations of $N$-fold Mellin-Barnes Integrals
• On Constraints Between $\Delta {\alpha }_{\mathrm{had}}(M_Z^2)$ and $(g_{\mu }-2{)}_{\mathrm{HVP}}$
• Slope and curvature of the hadron vacuum polarization at vanishing virtuality from lattice QCD
• 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
• Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment
• The Mellin-Barnes Approach to Hadronic Vacuum Polarization and $g_{\mu }-2$
• Ratios of the hadronic contributions to the lepton $g-2$ from Lattice QCD+QED simulations
• Hadronic Vacuum Polarization in QCD and its Evaluation in the Euclidean
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Anomalous magnetic moment of the muon, a hybrid approach
• Gravitational Effects on Measurements of the Muon Dipole Moments