Institute for Theoretical Particle Physics (TTP)

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preprints:2002:ttp02-13 [2016/03/17 11:03] (current)
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 +====== TTP02-13 Two-loop amplitudes with nested sums: Fermionic contributions to e+e- --> q qbar g ====== 
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 +   <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.     
 + </hidden> 
 +|**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]]   | 
 +| |