Abstract
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.
Highlights
Predictions beyond next-to-leading order accuracy are desirable and sometimes essential to reduce the theoretical uncertainty
We finish the definition of a subtraction scheme for computing next-to-next-to-leading order (NNLO) corrections to QCD jet cross sections
Differential cross sections have been evaluated for vector boson [1, 2], Higgs boson [3, 4], diphoton [5], and Higgs-vector boson [6] production, and for dijet production in the fully gluonic channel at leading colour [7]
Summary
Our notation was spelled out extensively previously [36, 46] and is recalled here only to the extent that we will need in this paper. The matrix element for a process involving n final state coloured partons will be denoted by |Mn , using the colour- and spin-state notation of ref. The square of the colour-charge operator, T 2i , depends only on the flavour of the emitting parton We emphasise this by introducing the notation. We use squared colour-charge operators with multiple indices, e.g., In such cases, the multiple where N collects factors that are independent of QCD, i.e., it is the flux factor times the spin average factor for the incoming particles; the symbol {n} denotes summation over different subprocesses; S{n} is the Bose symmetry factor for identical particles in the final state; and dφn({p}; Q) is the phase space associated with final state momenta {p} = {p1, .
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