Anomalous magnetic moment of the muon, a_mu=(g-2)_mu, is one of the most precisely measured quantities in particle physics and it provides a stringent test of the standard model. With the planned improvement of the experimental precision at Fermilab and at J-PARC further reduction of the theoretical uncertainty is required, in order to be able to resolve the current discrepancy between the experimental measurement of a_mu and its theoretical prediction and potentially gain insight into new physics. The dominant source of the uncertainty in the theoretical prediction of a_mu is the error of the leading hadronic contribution. I will introduce several promising approaches for a precise determination of the leading hadronic contribution to a_mu and discuss the challenges for obtaining this quantity from lattice QCD simulations with sub-percent precision.
