  Precise measurements of magnetic and electric dipole moments are important
tests of the Standard Model and beyond Standard Model physics, particularly for
the electron and the muon. However, the situation presents distinctive
challenges when dealing with the tau lepton due to its very short lifetime and
relatively high mass. Here, we review the theoretical predictions and
experimental measurements of both the anomalous magnetic and electric dipole
moments of the tau lepton.
  Note: Contribution to the proceedings of the 17th International Workshop on
Tau Lepton Physics, Louisville, USA, 4-8 December 2023
