Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

NLO results for five, six and seven jets in electron-positron annihilation

Sebastian Becker, Daniel Goetz, Christian Reuschle, Christopher Schwan, Stefan Weinzierl

TL;DR

This work tackles the challenge of computing NLO QCD corrections for multi-jet production in e+e- annihilation, pushing the frontier to seven jets within the leading-color framework. It introduces a novel subtraction-based method that extends the real-emission subtraction to the virtual loop, combining loop and phase-space Monte Carlo integration with contour deformation to manage singularities. The authors provide new NLO predictions for six- and seven-jet rates, validate lower-multiplicity results against analytic benchmarks, and discuss notable scalability and potential extensions to hadron-hadron collisions and full color accuracy. Overall, the approach enables previously inaccessible high-multiplicity observables and sets the stage for broader applications in complex QCD processes.

Abstract

We present next-to-leading order corrections in the leading colour approximation for jet rates in electron-positron annihilation up to seven jets. The results for the two-, three-, and four-jet rates agree with known results. The NLO jet rates have been known previously only up to five jets. The results for the six- and seven-jet rate are new. The results are obtained by a new and efficient method based on subtraction and numerical integration.

NLO results for five, six and seven jets in electron-positron annihilation

TL;DR

This work tackles the challenge of computing NLO QCD corrections for multi-jet production in e+e- annihilation, pushing the frontier to seven jets within the leading-color framework. It introduces a novel subtraction-based method that extends the real-emission subtraction to the virtual loop, combining loop and phase-space Monte Carlo integration with contour deformation to manage singularities. The authors provide new NLO predictions for six- and seven-jet rates, validate lower-multiplicity results against analytic benchmarks, and discuss notable scalability and potential extensions to hadron-hadron collisions and full color accuracy. Overall, the approach enables previously inaccessible high-multiplicity observables and sets the stage for broader applications in complex QCD processes.

Abstract

We present next-to-leading order corrections in the leading colour approximation for jet rates in electron-positron annihilation up to seven jets. The results for the two-, three-, and four-jet rates agree with known results. The NLO jet rates have been known previously only up to five jets. The results for the six- and seven-jet rate are new. The results are obtained by a new and efficient method based on subtraction and numerical integration.

Paper Structure

This paper contains 5 sections, 15 equations, 4 figures, 1 table.

Table of Contents

  1. Introduction
  2. The numerical method
  3. Jet rates in electron-positron annihilation
  4. Numerical results
  5. Conclusions

Figures (4)

  • Figure 1: Comparison of the NLO corrections to the two-jet rate between the numerical calculation and an analytic calculation. The error bars from the Monte Carlo integration are shown and are almost invisible.
  • Figure 2: Comparison of the NLO corrections to the three-jet rate between the numerical calculation and an analytic calculation. The error bars from the Monte Carlo integration are shown and are almost invisible.
  • Figure 3: Comparison of the NLO corrections to the four-jet rate between the numerical calculation and an analytic calculation. The error bars from the Monte Carlo integration are shown and are almost invisible.
  • Figure 4: CPU time required for one evaluation of the Born contribution, the insertion term and the virtual term, respectively, as a function of the number of the final state partons $n$. The times are taken on a single core of a standard PC.