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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 ====== + + + <​hidden TTP02-13 ​ Two-loop amplitudes with nested sums: Fermionic contributions to e+e- --> 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]] ​  | + | |