We calculate the weak magnetic dipole moment of different fermions in
the MSSM, In particular, we consider in detail the predictions for the
WMDM of the tau lepton and bottom quark. We compare the purely SUSY c
ontributions with two Higgs doublet models and SM predictions. For the
tau lepton, we show that chargino diagrams give the main SUSY contrib
ution, which for tan beta = 50 can be one order of magnitude larger th
an the SM prediction. For the b quark, gluino diagrams provide the mai
n SUSY contribution to its weak anomalous dipole moment, which is stil
l dominated by gluon contributions, We also study how the universality
assumption in the slepton sector induces correlations between the SUS
Y contributions to the tau WMDM and to (g-2) of the muon. (C) 1998 Els
evier Science B.V.