Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles

Abstract : We compute the leading, strong-interaction contribution to the anomalous magnetic moment of the electron, muon and tau using lattice quantum chromodynamics (QCD) simulations. Calculations include the effects of $u$, $d$, $s$ and $c$ quarks and are performed directly at the physical values of the quark masses and in volumes of linear extent larger than 6 fm. All connected and disconnected Wick contractions are calculated. Continuum limits are carried out using six lattice spacings. We obtain $a_e^\mathrm{LO-HVP}=188.5(2.6)(5.5)\times 10^{-14}$, $a_\mu^\mathrm{LO-HVP}=711.0(7.5)(17.3)\times 10^{-10}$ and $a_\tau^\mathrm{LO-HVP}=341.1(0.8)(3.2)\times 10^{-8}$, where the first error is statistical and the second is systematic.
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Pré-publication, Document de travail
18 pages, 8 figures (in 13 PDF files), RevTeX 4.1. 2018
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https://hal.archives-ouvertes.fr/hal-01784004
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Soumis le : vendredi 4 mai 2018 - 14:46:26
Dernière modification le : mardi 29 mai 2018 - 14:34:23
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Sz. Borsanyi, Z. Fodor, C. Hoelbling, T. Kawanai, S. Krieg, et al.. Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles. 18 pages, 8 figures (in 13 PDF files), RevTeX 4.1. 2018. 〈hal-01784004〉

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