POWER SUPPRESSED CORRECTIONS TO HADRONIC EVENT SHAPES

For high energy processes (M >> Lambda(QCD)) there are infrared safe h adronic shape variables that have a calculable perturbative expansion in a(s)(M(2)). However, nonperturbative power suppressed corrections t o these variables are not well understood. We use the behavior of larg e orders of the perturbation expansion to gain insight into the nonper turbative corrections. Our results suggest that certain shape variable s have nonperturbative corrections suppressed by fractional powers of Lambda(ACD)(2)/M(2).