Lattice QCD results for the HVP contribution to the anomalous magnetic moments of leptons

Szabolcs Borsanyi; Zoltan Fodor; Taichi Kawanai; Stefan Krieg; Laurent Lellouch; Rehan Malak; Kohtaroh Miura; Kalman K. Szabo; Christian Torrero; Balint C. Toth

doi:10.1051/epjconf/201817506016

Proceedings

Open Access

EPJ Web of Conferences 175, 06016 (2018)
https://doi.org/10.1051/epjconf/201817506016

Lattice QCD results for the HVP contribution to the anomalous magnetic moments of leptons

Budapest-Marseille-Wuppertal Collaboration
Szabolcs Borsanyi¹, Zoltan Fodor¹^,2^,3, Taichi Kawanai³, Stefan Krieg¹^,3, Laurent Lellouch⁴, Rehan Malak⁴^,5, Kohtaroh Miura⁴^*, Kalman K. Szabo¹^,3, Christian Torrero⁴ and Balint C. Toth¹

¹ Department of Physics, Bergische Universität Wuppertal, Gaussstr. 20, D-42119 Wuppertal, Germany
² Inst. for Theor. Physics, Eötvös University, Pázmány P. sét. 1/A, H-1117 Budapest, Hungary
³ Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany
⁴ Aix-Marseille U., U. de Toulon, CNRS, CPT, UMR 7332, F-13288 Marseille, France
⁵ CNRS, CEA, Maison de la Simulation, USR 3441, F-91191 Gif-sur-Yvette Cedex, France

^* Speaker, e-mail: kohtaroh.miura@cpt.univ-mrs.fr

Published online: 26 March 2018

Abstract

We present lattice QCD results by the Budapest-Marseille-Wuppertal (BMW) Collaboration for the leading-order contribution of the hadron vacuum polarization (LOHVP) to the anomalous magnetic moments of all charged leptons. Calculations are performed with u, d, s and c quarks at their physical masses, in volumes of linear extent larger than 6 fm, and at six values of the lattice spacing, allowing for controlled continuum extrapolations. All connected and disconnected contributions are calculated for not only the muon but also the electron and tau anomalous magnetic moments. Systematic uncertainties are thoroughly discussed and comparisons with other calculations and phenomenological estimates are made.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).