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- W2809100342 abstract "We introduce a new method for calculating the ${rm O}(alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ${ab-initio}$ lattice QCD. We first derive expressions suitable for computing the higher-order contributions either from the renormalized vacuum polarization function $hatPi(q^2)$, or directly from the lattice vector-current correlator in Euclidean space. We then demonstrate the approach using previously-published results for the Taylor coefficients of $hatPi(q^2)$ that were obtained on four-flavor QCD gauge-field configurations with physical light-quark masses. We obtain $10^{10} a_mu^{rm HVP,HO} = -9.3(1.3)$, in agreement with, but with a larger uncertainty than, determinations from $e^+e^- to {rm hadrons}$ data plus dispersion relations." @default.
- W2809100342 created "2018-06-29" @default.
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- W2809100342 date "2018-11-09" @default.
- W2809100342 modified "2023-10-16" @default.
- W2809100342 title "Higher-order hadronic-vacuum-polarization contribution to the muon <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> from lattice QCD" @default.
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- W2809100342 doi "https://doi.org/10.1103/physrevd.98.094503" @default.
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