We compute the t --> WZb decay rate, in the Standard Model, at the leading
order in perturbation theory, with special attention to the effects of the
finite widths of the W and Z bosons. These effects are extremely important,
since the t --> WZb decay occurs near its kinematical threshold. They incr
ease the value of the decay rate by orders of magnitude near threshold or a
llow it below the nominal threshold. We discuss a procedure to take into ac
count the finite-width effects and compare the results with previous studie
s of this decay. Within the Standard Model, for a top quark mass in the ran
ge between 170 and 180 GeV, we find BR(t --> WZb) similar or equal to 2 x 1
0(-6), which makes the observation at the LHC very difficult if at all poss
ible. (C) 2001 Elsevier Science B.V. All rights reserved.