Abstract
The Muon g-2 experiment (E989) at Fermilab is set to give us the first
results in summer 2019 from the improved determination of the anomalous
magnetic moment of the muon. The aim, with the final statistics, is to
resolve the current tantalising 3-4 sigma discrepancy between existing
experiment and Standard Model expectations. Along with the improvement
in the experimental uncertainties, the race is one to improve the
theoretical uncertainties from the Standard Model. Lattice QCD has a
key role to play here in providing an 'ab initio' value for the
important hadronic vacuum polarisation contribution.
I will give a general background to the theoretical inputs to the SM
determination of a_mu and then focus on recent lattice QCD results in
this area, and prospects for further improvement.