Non-global logarithms and jet algorithms in high-pT jet shapes

We consider jet-shape observables of the type proposed recently [1, 2] where the shapes of one or more high-p(T) jets, produced in a multi-jet event with definite jet multiplicity, may be measured leaving other jets in the event unmeasured. We point out the structure of the full next-to-leading logarithmic resummation specifically including resummation of non-global logarithms in the leading-N-c limit and emphasising their properties. We also point out differences between jet algorithms in the context of soft gluon resummation for such observables.