Lattice calculation of the hadronic leading order contribution to the muon $g-2$

Abstract

The persistent discrepancy of about 3.5 standard deviations between the experimental measurement and the Standard Model prediction for the muon anomalous magnetic moment, $a_{\mu }$, is one of the most promising hints for the possible existence of new physics. Here we report on our lattice QCD calculation of the hadronic vacuum polarisation contribution $a_{\mu }^{\mathrm{hvp}}$, based on gauge ensembles with $N_f=2+1$ flavours of O($a$) improved Wilson quarks. We address the conceptual and numerical challenges that one encounters along the way to a sub-percent determination of the hadronic vacuum polarisation contribution. The current status of lattice calculations of $a_{\mu }^{\mathrm{hvp}}$ is presented by performing a detailed comparison with the results from other groups.

Comments: 8 pages, Invited talk at "Flavour changing and conserving processes", Capri, Italy, 29-31 August 2019