Power corrections to e⁺ e^– Dijet event shapes

Abstract

We discuss a class of event shapes for e⁺e^– dijet events that include the thrust as a special case. Large logarithmic corrections to the corresponding cross sections can be resummed to all logarithmic orders at leading power. However, irrespective of the order up to which the perturbative expansion is calculated, it has to be supplemented by nonperturbative corrections due to its at best asymptotic nature. We find that the leading power corrections are universal for the class of event shapes discussed here. Based on these findings, we provide sample numerical predictions for the distributions of the new event shapes.

PACS: 12.38.Cy Summation of perturbation theory in QCD – 13.87.-a Jets in large-Q² scattering