QCD Jet Rates with the Inclusive Generalized kt Algorithms

TL;DR

This paper derives analytical generating functions for QCD jet rates using inclusive generalized kt algorithms, compares them with simulations, and studies jet ratio behaviors.

Contribution

It provides the first next-to-double logarithmic accuracy analytical results for inclusive kt algorithms and compares them with event generator data.

Findings

Analytical results match SHERPA data within accuracy

Identifies transition from Poisson to staircase jet ratio behavior

Provides insights into jet multiplicity patterns

Abstract

We derive generating functions, valid to next-to-double logarithmic accuracy, for QCD jet rates according to the inclusive forms of the kt, Cambridge/Aachen and anti-kt algorithms, which are equivalent at this level of accuracy. We compare the analytical results with jet rates and average jet multiplicities from the SHERPA event generator, and study the transition between Poisson-like and staircase-like behaviour of jet ratios.