A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms

TL;DR

This paper completes a subtraction scheme for NNLO QCD jet cross section calculations by integrating soft-type contributions, enabling precise predictions for electron-positron annihilation into jets.

Contribution

It introduces the final integration of doubly unresolved subtraction terms using Mellin-Barnes methods, completing the scheme for NNLO jet cross section computations.

Findings

Scheme now allows fully differential NNLO calculations for e+e- annihilation.

Integration of soft-type contributions finalized using Mellin-Barnes techniques.

Facilitates more accurate theoretical predictions for jet production processes.

Abstract

We finish the definition of a subtraction scheme for computing NNLO corrections to QCD jet cross sections. In particular, we perform the integration of the soft-type contributions to the doubly unresolved counterterms via the method of Mellin-Barnes representations. With these final ingredients in place, the definition of the scheme is complete and the computation of fully differential rates for electron-positron annihilation into two and three jets at NNLO accuracy becomes feasible.