Speaker: Giuseppe Gagliardi (Istituto Nazionale di Fisica Nucleare)

The FNAL collaboration has measured the value of the muon anomalous magnetic moment, achieving an unprecedented precision of 0.2 ppm. From the theoretical perspective, it is crucial to match this experimentalprecision. The most challenging part of the theoretical calculation comes fromthe leading hadronic vacuum polarization (HVP) contribution Undefined control sequence \rmHVP, which must be determined with subpercent precision. In this seminar, I will review the latest lattice QCD results for, as well as for the subleading hadronic light-by-lightcontribution, and discuss the phenomenological impact of these results.