Abstract

Anomalous magnetic moment of the muon (muon g-2) is one of the most precisely measured quantities in particle physics. At the same time, it can be evaluated in the Standard Model with an unprecedented accuracy. The ongoing efforts at Fermilab (E989) and J–PARC (E34) plan to reduce the experimental uncertainty by a factor of four. This renders a comparable improvement of the precision in the SM theory an essential ingredient in order to fully exploit the expected increase of precision in experimental results. For all these reasons, the muon g-2 is considered to be a great testing ground for new physics.

Hadronic contributions are the dominant sources of uncertainty in the theoretical prediction of the muon g-2. I will outline several promising approaches for a precise determination of the leading hadronic contribution to the muon g-2 and then proceed with a discussion of the isospin breaking effects, which are crucial for obtaining measurements from lattice QCD simulations with sub-percent precision. Further, I will present an approach to tackle these effects based on the local realisation of QCD +QED on the lattice.