Lattice calculations of the leading hadronic contribution to g-2

Abstract

We report on our ongoing project to calculate the leading hadronic contribution to the anomalous magnetic moment of the muon a HLO µ using two dynamical flavours of non-perturbatively O(a) improved Wilson fermions. In this study, we changed the vacuum polarisation tensor to a combination of local and point-split currents which significantly reduces the numerical effort. Partially twisted boundary conditions allow us to improve the momentum resolution of the vacuum polarisation tensor and therefore the determination of the leading hadronic contribution to (g − 2) µ. We also extended the range of ensembles to include a pion mass below 200 MeV which allows us to check the non-trivial chiral behaviour of a HLO µ .