Anomalous magnetic moment of the muon with dynamical QCD+QED

¹ CSSM, Department of Physics, The University of Adelaide, Adelaide SA 5005, Australia
² School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3FD, UK
³ RIKEN Advanced Institute for Computational Science, Kobe, Hyogo 650-0047, Japan
⁴ Institut für Theoretische Physik, Universität Leipzig, 04103 Leipzig, Germany
⁵ Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liver-pool L69 3BX, UK
⁶ Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany
⁷ Regionales Rechenzentrum, Universität Hamburg, 20146 Hamburg, Germany

^* Speaker. e-mail: alex.westin@adelaide.edu.au

Published online: 16 November 2020

Abstract

There exists a long standing discrepancy of around 3.5σ between experimental measurements and standard model calculations of the magnetic moment of the muon. Current experiments aim to reduce the experimental uncertainty by a factor of 4, and Standard Model calculations must also be improved by a similar factor. The largest uncertainty in the Standard Model calculation comes from the QCD contribution, in particular the leading order hadronic vacuum polarisation (HVP). To calculate the HVP contribution, we use lattice gauge theory, which allows us to study QCD at low energies. In order to better understand this quantity, we investigate the effect of QED corrections to the leading order HVP term by including QED in our lattice calculations, and investigate flavour breaking effects. This is done using fully dynamical QCD+QED gauge configurations generated by the QCDSF collaboration and a novel method of quark tuning.