Eur. Phys. J. C (2006) 48: 25-33
https://doi.org/10.1140/epjc/s2006-02612-9

Theoretical Physics

Towards e⁺e^-→3 jets at NNLO by sector decomposition

Institut für Theoretische Physik, Universität Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland

^* e-mail: gudrun@physik.unizh.ch

Received: 8 May 2006
Published online: 16 August 2006

Abstract

A method based on sector decomposition has been developed to calculate the double real radiation part of the process e⁺e^-→3 jets at next-to-next-to-leading order. It is shown in an example that the numerical cancellation of soft and collinear poles works well. The method is flexible enough to include an arbitrary measurement function in the final Monte Carlo program, such that it allows one to obtain differential distributions for different kinds of observables. This is demonstrated by showing three-, four- and five-jet rates at order α_s ³ for a subpart of the process.