The bound on the mass of the new gauge boson Z ' from the process mu -> 3e

The new gauge boson Z' predicted by the strong top dynamical symmetry break ing models has significant contributions to the lepton flavor changing proc ess mu --> 3e. We consider the bound on the mass of the new gauge boson Z' from the experimental value of the branching ratio Br(mu --> 3e) in the fra mework of topcolor assisted technicolor models. We find that the precision experimental value of Br(mu --> 3e) gives a severe bound on the Z' mass M-Z '. For k(1) less than or equal to 1, M-Z' must be larger than 1.64 TeV. (C) 2000 Elsevier Science B.V. All rights reserved.