Eur. Phys. J. C (2020) 80: 215
https://doi.org/10.1140/epjc/s10052-020-7760-x

Regular Article - Theoretical Physics

Dimensional schemes for cross sections at NNLO

¹ Paul Scherrer Institut, 5232, Villigen, PSI, Switzerland
² Physik-Institut, Universität Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland

^* e-mail: Christoph.Gnendiger@psi.ch

Received: 13 January 2020
Accepted: 19 February 2020
Published online: 6 March 2020

Abstract

So far, the use of different variants of dimensional regularization has been investigated extensively for two-loop virtual corrections. We extend these studies to real corrections that are also required for a complete computation of physical cross sections at next-to-next-to-leading order. As a case study we consider two-jet production in electron-positron annihilation and describe how to compute the various parts separately in different schemes. In particular, we verify that using dimensional reduction the double-real corrections are obtained simply by integrating the four-dimensional matrix element over the phase space. In addition, we confirm that the cross section is regularization-scheme independent.