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Lepton anomalous magnetic moments in Lattice QCD+QED
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Lepton anomalous magnetic moments in Lattice QCD+QED
abstract
We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution to the anomalous magnetic moments of the electron, $a_e^{\rm HVP}$, the muon, $a_\mu^{\rm HVP}$, and the tau, $a_\tau^{\rm HVP}$, including both the isospin-symmetric QCD term and the leading-order strong and electromagnetic isospin-breaking corrections. Moreover, the contribution to $a_\mu^{\rm HVP}$ not covered by the MUonE experimen, $a_{MUonE}^{\rm HVP}$, is provided. We get $a_e^{\rm HVP} = 185.8~(4.2) \cdot 10^{-14}$, $a_\mu^{\rm HVP} = 692.1~(16.3) \cdot 10^{-10}$, $a_\tau^{\rm HVP} = 335.9~(6.9) \cdot 10^{-8}$ and $a_{MUonE}^{\rm HVP} = 91.6~(2.0) \cdot 10^{-10}$. Our results are obtained in the quenched-QED approximation using the QCD gauge configurations generated by the European (now Extended) Twisted Mass Collaboration (ETMC) with $N_f=2+1+1$ dynamical quarks, at three values of the lattice spacing varying from $0.089$ to $0.062$ fm, at several values of the lattice spatial size ($L \simeq 1.8 \div 3.5$ fm) and with pion masses in the range between $\simeq 220$ and $\simeq 490$ MeV.
Forward citations
Cited by 4 Pith papers
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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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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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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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The anomalous magnetic moment of the muon in the Standard Model
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
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