Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment

Abstract

A lattice computation of the leading-order hadronic contribution to the muon anomalous magnetic moment can potentially help reduce the error on the Standard Model prediction for this quantity, if sufficient control of all systematic errors affecting such a computation can be achieved. One of these systematic errors is that associated with the extrapolation to the physical pion mass from values on the lattice larger than the physical pion mass. We investigate this extrapolation assuming lattice pion masses in the range of 200 to 400MeV with the help of two-loop chiral perturbation theory, and find that such an extrapolation is unlikely to lead to control of this systematic error at the 1% level. This remains true even if various tricks to improve the reliability of the chiral extrapolation employed in the literature are taken into account. In addition, while chiral perturbation theory also predicts the dependence on the pion mass of the leading-order hadronic contribution to the muon anomalous magnetic moment as the chiral limit is approached, this prediction turns out to be of no practical use, because the physical pion mass is larger than the muon mass that sets the scale for the onset of this behavior.

18 pages, 3 figures

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Cited by in corpus (12)

• The anomalous magnetic moment of the muon in the Standard Model
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• 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
• 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
• Chiral extrapolation of hadronic vacuum polarization
• 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
• Determination of the NNLO low-energy constant $C_{93}$