Abstract

We present the CoLoRFulNNLO method to compute higher order radiative corrections to jet cross sections in perturbative QCD. We apply our method to the computation of event shape observables in electron-positron collisions at NNLO accuracy and validate our code by comparing our predictions to previous results in the literature. We also calculate for the first time jet cone energy fraction at NNLO.

Highlights

  • The strong coupling αs is one of the most important parameters of the standard model

  • We present our predictions at LO and Next-to-leading order (NLO) accuracy as smooth curves and as histograms at NNLO to represent the numbers of the numerical integration as precisely as possible

  • In this paper we presented the CoLoRFulNNLO framework to compute higher order radiative corrections to jet cross sections in perturbative QCD

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Summary

INTRODUCTION

The strong coupling αs is one of the most important parameters of the standard model. Well suited for this task are quantities related to three-jet events, as the leading term in a perturbative description of such observables is already proportional to the strong coupling. The straightforward evaluation of radiative corrections in QCD is hampered by the presence of infrared singularities in intermediate stages of the calculation which cancel in the final physical results for these observables. They must be regularized, and their cancellation has to be made explicit before any numerical computation can be performed.

Phase space and kinematics
Matrix elements
Ultraviolet renormalization
The NLO Correction
JET PRODUCTION IN CoLoRFulNNLO
The NNLO Correction
EVENT SHAPES OLD AND NEW
Jet cone energy fraction
Findings
CONCLUSIONS AND OUTLOOK

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