We present a subtraction scheme for computing jet cross sections in electronpositron annihilation at next-to-next-to-leading order accuracy in perturbative QCD. In this first part we deal with the regularization of the doubly-real contribution to the NNLO correction.

We present a generalization of the dipole subtraction scheme for computing jet cross sections in electron-positron annihilation at next-to-next-to-leading order accuracy in perturbative QCD. In this second part we deal with the regularization of the real-virtual contribution to the NNLO correction.

We describe how to disentangle the singly-and doubly-unresolved (soft and/or collinear) limits of tree-level QCD squared matrix elements. Using the factorization formulae presented in this paper, we outline a viable general subtraction scheme for computing next-to-next-to-leading order corrections for electron-positron annihilation into jets. (0) 4;(i,k) | 2 45 B. Collinear limit of the spin-polarisation tensor for the process e + e − → qqg 47 C. The collinear limit of the spin-polarization tensors using a helicity basis 49