Parton showers are accurate for soft and/or collinear emission, but for a g
ood description of the whole of phase space they need to be supplemented by
matrix element corrections. In this paper, we discuss matrix element corre
ctions to the decay t --> Wb and apply our results to the HERWIG Monte Carl
o event generator. The phenomenological results show marked improvement rel
ative to previous versions and agree well with the exact first-order matrix
-element calculation. (C) 1998 Elsevier Science B.V. All rights reserved.