Anomalous Magnetic and Electric Dipole Moments of the Tau

This paper reviews the theoretical predictions for and the experimental measurements of the anomalous magnetic and electric dipole moments of the tau lepton. In particular, recent analyses of the $\eettg$ process from the L3 and OPAL collaborations are described. The most precise results, from L3, for the anomalous magnetic and electric dipole moments respectively are: $\atau = 0.004 \pm 0.027 \pm 0.023$ and $\dtau = (0.0 \pm 1.5 \pm 1.3)\times 10^{-16}{e{\cdot}\mathrm{cm}}$.