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

TL;DR

This paper analyzes the structure of high-pT jet shape observables, focusing on the resummation of non-global logarithms and the impact of different jet algorithms, providing insights into their theoretical properties.

Contribution

It presents the first detailed next-to-leading logarithmic resummation including non-global logarithms for high-pT jet shapes, highlighting differences due to jet algorithms.

Findings

Resummation of non-global logarithms in the leading-Nc limit.

Differences between jet algorithms in soft gluon resummation.

Structural insights into jet-shape observables in multi-jet events.

Abstract

We consider jet-shape observables of the type proposed recently, where the shapes of one or more high-pT 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-Nc limit and emphasising their properties. We also point out differences between jet algorithms in the context of soft gluon resummation for such observables.