Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles

Borsanyi, Sz. (Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany) ; Fodor, Z. (Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany) (Institute for Theoretical Physics, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary) (Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany) ; Hoelbling, C. (Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany) ; Kawanai, T. (Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany) ; Krieg, S. (Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany) (Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany) ; Lellouch, L. (CNRS, Aix-Marseille Université, Université de Toulon, CPT, UMR 7332, F-13288 Marseille, France) ; Malak, R. (CNRS, Aix-Marseille Université, Université de Toulon, CPT, UMR 7332, F-13288 Marseille, France) (CNRS, CEA, Maison de la Simulation, USR 3441, F-91191 Gif-sur-Yvette Cedex, France) ; Miura, K. (CNRS, Aix-Marseille Université, Université de Toulon, CPT, UMR 7332, F-13288 Marseille, France) (Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan) ; Szabo, K. K. (Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany) (Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany) ; Torrero, C. (CNRS, Aix-Marseille Université, Université de Toulon, CPT, UMR 7332, F-13288 Marseille, France) ; Toth, B. C. (Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany)

13 July 2018

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 aeLOHVP=189.3(2.6)(5.6)×1014, aμLOHVP=711.1(7.5)(17.4)×1010 and aτLOHVP=341.0(0.8)(3.2)×108, where the first error is statistical and the second is systematic.


Published in: Physical Review Letters 121 (2018)
Published by: APS
DOI: 10.1103/PhysRevLett.121.022002
arXiv: 1711.04980
License: CC-BY-4.0



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