Direct Measurement of the Neutral Weak Dipole Moments of the tau Lepton

We present direct measurements of the neutral weak anomalous magnetic dipole moment, a{sub {tau}}{sup w}, and neutral weak electric dipole moment, d{sub {tau}}{sup w}, of the tau lepton. The dipole moments are measured by analyzing the decays of {tau} leptons produced in the annihilation of positrons and longitudinally polarized electrons on the Z boson resonance at the SLC. Using 6736 Z decays to {tau}{sup +} {tau}{sup {minus}} pairs elected from our 1993-1998 data sample we obtain Re(a{sub {tau}}{sup w}) = (0.26 {+-} 1.24) x 10{sup {minus}3}, Im(a{sub {tau}}{sup w}) = ({minus}0.02 {+-} 0.66) x 10{sup {minus}3}, Re(d{sub {tau}}{sup w}) = (0.18 {+-} 0.67) x 10 {sup {minus}17} e {center_dot} cm, and Im(D{sub {tau}}{sup w}) = ({minus}0.26 {+-} 0.37) x 10{sup {minus}17} e {center_dot} cm