Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice

Abstract

We present and test a new method to compute the hadronic vacuum polarization function in lattice simulations. This can then be used, e.g., to determine the leading hadronic contribution to the anomalous magnetic moment of the muon. The method is based on computing susceptibilities with respect to external electromagnetic plane wave fields and allows for a precision determination of both the connected and the disconnected contributions to the vacuum polarization. We demonstrate that the statistical errors obtained with our method are much smaller than those quoted in previous lattice studies, primarily due to a very effective suppression of the errors of the disconnected terms. These turn out to vanish within small errors, enabling us to quote an upper limit. We also comment on the accuracy of the vacuum polarization function determined from present experimental R-ratio data.

15 pages, 9 figures, v2: minor changes in the text, version published in PRD

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Cited by in corpus (27)

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• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• Lattice QCD and the anomalous magnetic moment of the muon
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• Magnetic susceptibility of QCD matter and its decomposition from the lattice
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$
• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
• Pion magnetic polarisability using the background field method
• Electromagnetic finite-size effects to the hadronic vacuum polarization
• Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment
• On the Implementation of General Background Electromagnetic Fields on a Periodic Hypercubic Lattice
• Nucleon in a periodic magnetic field
• On electric fields in hot QCD: perturbation theory
• The Chiral Separation Effect from lattice QCD at the physical point
• On the absence of the Chiral Magnetic Effect in equilibrium QCD
• Composite Vector Particles in External Electromagnetic Fields
• Nucleon in a periodic magnetic field: Finite-volume aspects
• Steady electric currents in magnetized QCD and their use for the equation of state
• HVP contributions to the muon ($g-2$) including QED corrections with twisted-mass fermions
• Lattice calculations and the muon anomalous magnetic moment