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QCD Jet Rates with the Inclusive Generalized kt Algorithms

Erik Gerwick, Ben Gripaios, Steffen Schumann, Bryan Webber

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.

QCD Jet Rates with the Inclusive Generalized kt Algorithms

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.

Paper Structure

This paper contains 22 sections, 89 equations, 1 table.

Table of Contents

  1. Introduction
  2. The inclusive generalized $k_t$ jet algorithms
  3. Sudakov factors
  4. Generating functions
  5. Next to double leading logarithms
  6. Leading double logarithms
  7. Jet rates
  8. Average jet multiplicity
  9. Next to double leading logarithms
  10. Leading double logarithms
  11. Running coupling
  12. Numerical solution: DLA
  13. Numerical solution: NDLA
  14. Monte Carlo results: $e^+ e^-$
  15. Monte Carlo results: $pp$
  16. ...and 7 more sections