Finite-volume effects in the muon anomalous magnetic moment on the lattice

Abstract

We investigate finite-volume effects in the hadronic vacuum polarization, with an eye toward the corresponding systematic error in the muon anomalous magnetic moment. We consider both recent lattice data as well as lowest-order, finite-volume chiral perturbation theory, in order to get a quantitative understanding. Even though leading-order chiral perturbation theory does not provide a good description of the hadronic vacuum polarization, it turns out that it gives a good representation of finite-volume effects. We find that finite-volume effects cannot be ignored when the aim is a few percent level accuracy for the leading-order hadronic contribution to the muon anomalous magnetic moment, even when using ensembles with $m_{\pi }L>4$ and $m_{\pi }\sim 200$ MeV.

17 pages, 5 figures; ChPT result corrected; better agreement between ChPT and lattice data; ref. added

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Cited by in corpus (30)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• 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
• The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Slope and curvature of the hadron vacuum polarization at vanishing virtuality from lattice QCD
• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
• Finite-volume effects in $(g-2{)}_{\mu }^{\text{HVP,LO}}$
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• Electromagnetic finite-size effects to the hadronic vacuum polarization
• Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• The Mellin-Barnes Approach to Hadronic Vacuum Polarization and $g_{\mu }-2$
• On the application of Effective Field Theory to finite-volume effects in $a_{\mu }^{\mathrm{HVP}}$
• Ratios of the hadronic contributions to the lepton $g-2$ from Lattice QCD+QED simulations
• Finite-volume correction on the hadronic vacuum polarization contribution to muon g-2 in lattice QCD
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Hadronic vacuum polarization to three loops in chiral perturbation theory
• HISQ 2+1+1 light quark hadronic vacuum polarization at the physical point