Jet Fractions in e+e- Annihilation
Garth Leder
TL;DR
The paper provides analytic predictions for jet fractions in $e^+e^-$ annihilation within perturbative QCD using the Leading Logarithmic Approximation, extending up to 6 jets for the JADE and Durham algorithms. It defines jet fractions $R_n$ and details the clustering measures for JADE and Durham, connecting parton-level calculations to hadron-level observations via Local Parton-Hadron Duality and Monte Carlo hadronisation models. The study leverages angular ordering and coherence of soft-gluon emissions to justify the LL framework and enable tractable analytic results. These results offer benchmarks for testing QCD, jet algorithms, and the extraction of $\\alpha_S$ and color factors from high-energy data.
Abstract
The jet fractions expected in e+e- annihilation are calculated analytically in the leading log approximation up to 6 jet order for both the JADE and Durham algorithms.