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

Sz. Borsanyi1, Z. Fodor1,2,3, C. Hoelbling1, T. Kawanai3, S. Krieg1,3, L. Lellouch4,*, R. Malak4,5, K. Miura4,6, K. K. Szabo1,3 et al. (Budapest-Marseille-Wuppertal Collaboration)

K. K. Szabo1,3, C. Torrero4, and B. C. Toth1 (Budapest-Marseille-Wuppertal Collaboration)

  • 1Department of Physics, Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany
  • 2Institute for Theoretical Physics, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary
  • 3Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 4CNRS, Aix-Marseille Université, Université de Toulon, CPT, UMR 7332, F-13288 Marseille, France
  • 5CNRS, CEA, Maison de la Simulation, USR 3441, F-91191 Gif-sur-Yvette Cedex, France
  • 6Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan

  • *Corresponding author. lellouch@cpt.univ-mrs.fr
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Phys. Rev. Lett. 121, 022002 – Published 12 July, 2018

DOI: https://doi.org/10.1103/PhysRevLett.121.022002

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 aeLO−HVP=189.3(2.6)(5.6)×10−14, aμLO−HVP=711.1(7.5)(17.4)×10−10 and aτLO−HVP=341.0(0.8)(3.2)×10−8, where the first error is statistical and the second is systematic.

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Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment

T. Blum, P. A. Boyle, V. Gülpers, T. Izubuchi, L. Jin, C. Jung, A. Jüttner, C. Lehner, A. Portelli, and J. T. Tsang (RBC and UKQCD Collaborations)
Phys. Rev. Lett. 121, 022003 (2018)

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Phys. Rev. Lett. 121, 022002– Published 12 July, 2018
  • Received 30 December 2017
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