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 — preprints:2004:ttp04-17 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP04-17 An algorithm for the high-energy expansion of multi-loop diagrams to next-to-leading logarithmic accuracy ====== + + + <​hidden TTP04-17 ​ An algorithm for the high-energy expansion of multi-loop diagrams to next-to-leading logarithmic accuracy > We present an algorithm to compute arbitrary multi-loop massive Feynman diagrams in the region where the typical energy scale \sqrt{s} is much larger than the typical mass scale M, i.e. s>>​M^2,​ while various different energy and mass parameters may be present. In this region we perform an asymptotic expansion and, using sector decomposition,​ we extract the leading contributions resulting from ultraviolet and mass singularities,​ which consist of large logarithms log(s/M^2) and 1/\epsilon poles in D=4-2\epsilon dimensions. To next-to-leading accuracy, at L loops all terms of the form \alpha^L \epsilon^{-k} log^j(s/​M^2) with j+k=2L and j+k=2L-1 are taken into account. This algorithm permits, in particular, to compute higher-order next-to-leading logarithmic electroweak corrections for processes involving various kinematical invariants of the order of hundreds of GeV and masses M_W \sim M_Z \sim M_H \sim M_t of the order of the electroweak scale, in the approximation where the masses of the light fermions are neglected. + ​ + |**A. Denner and S. Pozzorini** ​ | + |**       Nucl. Phys. B   ​717 ​ (2005) (48-85) **  | + | {{preprints:​2004:​ttp04-17.pdf|PDF}} {{preprints:​2004:​ttp04-17.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0408068|arXiv]] ​  | + | |