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The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
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The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
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We extend our previous work on the light-quark connected part, $a_\mu^{\rm HVP,lqc}$, of the leading order hadronic-vacuum-polarization (HVP) contribution to the muon anomalous magnetic moment $a_\mu$, using staggered fermions, in several directions. We have collected more statistics on ensembles with lattice spacings of $0.06$, $0.09$ and $0.12$ fm, and we added two new ensembles, both with lattice spacing $0.15$ fm, but with different volumes. The increased statistics allow us to reduce statistical errors on $a_\mu^{\rm HVP,lqc}$ and related window quantities significantly. We also calculate the current-current correlator from which $a_\mu^{\rm HVP,lqc}$ is obtained to next-to-next-to-leading order (NNLO) in staggered chiral perturbation theory, so that we can correct lattice values for $a_\mu^{\rm HVP,lqc}$ to NNLO for finite-volume, pion-mass mistuning and taste-breaking effects. We discuss the applicability of NNLO chiral perturbation theory to $a_\mu^{\rm HVP,lqc}$ and to the window quantities, emphasizing that it provides a systematic EFT approach to $a_\mu^{\rm HVP,lqc}$, but not to short- or intermediate-distance window quantities. This makes it difficult to assess systematic errors on the standard intermediate-distance window quantity that is now widely considered in the literature. In view of this, we investigate a longer-distance window, for which EFT methods should be more reliable. Our most important conclusion is that, especially for staggered fermions, new high-statistics computations at lattice spacings smaller than $0.06$ fm are indispensable.
Forward citations
Cited by 13 Pith papers
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Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
Lattice QCD yields the NLO HVP contribution to muon g-2 as -101.57(26)stat(54)syst ×10^{-11}, 1.4σ below the 2025 White Paper estimate and twice as precise.
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Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
Light new particles generate asymmetries in e+e- to tau+tau- that allow model-dependent constraints on tau dipole moments, including non-zero effects without electron polarization via imaginary parts.
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Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles
A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.
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Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
Isospin-corrected inclusive τ spectral functions yield light-quark-connected HVP and window quantities consistent with lattice QCD, but the 2π⁻π⁺π⁰ mode differs significantly from e⁺e⁻-based Pais expectations.
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Muon $g$$-$2: correlation-induced uncertainties in precision data combinations
A general framework quantifies correlation-induced uncertainties in precision data combinations and applies it to e+e- to hadrons cross sections for muon g-2 HVP determinations.
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BMW/DMZ calculation of the hadronic vacuum polarisation for the muon magnetic moment
A hybrid lattice-QCD plus e+e- data determination of the hadronic vacuum polarisation gives a Standard Model muon g-2 prediction 0.5σ from experiment, at 0.45% precision.
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Light new physics and the $\tau$ lepton dipole moments
This work provides a comprehensive analysis of light new physics contributions to tau lepton dipole moments, detailing interpretations of asymmetry measurements for spin-0 and spin-1 bosons, their decoupling to the EF...
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Combined Analysis of Lattice QCD and Experimental Data on the Pion Transition Form Factor
Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
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The anomalous magnetic moment of the muon in the Standard Model: an update
The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.
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Muon lifetime and Fermi constant: an update
Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.
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Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.
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Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.
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Domain wall fermions
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