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The two-loop QCD matrix element for e^+e^->3 jets.

By L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi


We compute the O(α3\ud s ) virtual QCD corrections to the γ ∗ →q ¯ qg matrix element arising from\ud the interference of the two-loop with the tree-level amplitude and from the self-interference of the\ud one-loop amplitude. The calculation is performed by reducing all loop integrals appearing in the\ud two-loop amplitude to a small set of known master integrals. Infrared and ultraviolet divergences are\ud both regularized using conventional dimensional regularization, and the ultraviolet renormalization\ud is performed in the MS scheme. The infrared pole structure of the matrix elements agrees with\ud the prediction made by Catani using an infrared factorization formula. The analytic result for the\ud finite terms of both matrix elements is expressed in terms of one- and two-dimensional harmonic\ud polylogarithms

Publisher: Elsevier
Year: 2002
DOI identifier: 10.1016/S0550-3213(02)00057-3
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