The results of a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment are presented. We discuss different methods for controlling the infrared regime of the vacuum polarization function. This includes Padé fits, time moments and the time-momentum representation. We correct our results for finite-volume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for $a_\mu^{\rm hvp}$ by at most 2%. Our final result carries an overall uncertainty of 6%. We discuss the prospects and ongoing efforts for determining $a_\mu^{\rm hvp}$ with sub-percent precision.

Hadron Structure