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 — preprints:2002:ttp02-13 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP02-13 Two-loop amplitudes with nested sums: Fermionic contributions to e+e- --> q qbar g ====== + + + q qbar g > We present the calculation of the $\nf$-contributions to the two-loop + amplitude for $e^+e^-\to q \qb g$ and give results for the full one-loop + amplitude to order $\eps^2$ in the dimensional regularization parameter. + Our results agree with those recently obtained by Garland et al.. + The calculation makes extensive use of an efficient method based on + nested sums to calculate two-loop integrals with arbitrary powers + of the propagators.  The use of nested sums leads in a natural way to + multiple polylogarithms with simple arguments, which allow a + straightforward analytic continuation. + + |**Sven-Olaf Moch, Peter Uwer and Stefan Weinzierl**  | + |**  Phys.Rev.D  66 114001 2002  **  | + | {{preprints:2002:ttp02-13.pdf|PDF}} {{preprints:2002:ttp02-13.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0207043|arXiv]]   | + | |