The calculation of the anomalous magnetic moment of the muon involve sizable contributions from hadronic physics, whose uncertainties dominate the total error of the Standard Model prediction. In this talk, I will present the current status of the computations of these effects, based on data-driven dispersive methods and on lattice QCD+QED simulations. I will also indicate some of the ongoing consistency checks of these methods, and their prospects, aiming at consolidating the Standard Model result in view of the upcoming muon g-2 measurement updates by the Fermilab experiment.
jacobo.lopez@uv.es