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Next-to-Leading Order Gluonic Three Jet Production at Hadron Colliders

William B. Kilgore, W. T. Giele

TL;DR

The paper tackles the challenge of obtaining a next-to-leading order calculation for gluon-initiated three-jet production at hadron colliders. It builds an NLO event generator using unresolved region slicing/subtraction with a resolution parameter, and assesses four jet algorithms (fixed-cone, iterative-cone, K_T, EKS) for infrared safety and stability. The results show sizable radiative corrections in the gluon-only channel and expose infrared issues with iterative-cone absent a jet-separation cut, while other algorithms remain stable; the work establishes a framework to include quark contributions and enable comparisons with experimental data. This work provides the methodological foundation for a full NLO 3-jet cross-section calculation and collider predictions that can be matched to detector-level jet definitions.

Abstract

We report the results of a next-to-leading order event generator of purely gluonic jet production. This calculation is the first step in the construction of a full next-to-leading order calculation of three jet production at hadron colliders. Several jet-algorithms commonly used in experiments are implemented and their numerical stability is investigated.

Next-to-Leading Order Gluonic Three Jet Production at Hadron Colliders

TL;DR

The paper tackles the challenge of obtaining a next-to-leading order calculation for gluon-initiated three-jet production at hadron colliders. It builds an NLO event generator using unresolved region slicing/subtraction with a resolution parameter, and assesses four jet algorithms (fixed-cone, iterative-cone, K_T, EKS) for infrared safety and stability. The results show sizable radiative corrections in the gluon-only channel and expose infrared issues with iterative-cone absent a jet-separation cut, while other algorithms remain stable; the work establishes a framework to include quark contributions and enable comparisons with experimental data. This work provides the methodological foundation for a full NLO 3-jet cross-section calculation and collider predictions that can be matched to detector-level jet definitions.

Abstract

We report the results of a next-to-leading order event generator of purely gluonic jet production. This calculation is the first step in the construction of a full next-to-leading order calculation of three jet production at hadron colliders. Several jet-algorithms commonly used in experiments are implemented and their numerical stability is investigated.

Paper Structure

This paper contains 5 sections, 6 equations, 3 figures.

Table of Contents

  1. Introduction
  2. The method
  3. Jet Algorithms
  4. Numerical Results
  5. Conclusions

Figures (3)

  • Figure 1: The $s_{min}$-dependence of the cross section for the different jet algorithms and numerical methods.
  • Figure 2: The $E_T$-spectra of the (a) leading, (b) second and the (c) third jet. Fig. d contains the $K$-factor of the leading jet for the EKS clustering scheme.
  • Figure 3: The $X_T$-spectra of the (a) leading, (b) second and the (c) third jet and (d) the $K$-factor for the leading jet as a function of $X_T$.