Feynman graphs, Periods and Polylogarithms: Sector decomposition and Hironaka's polyhedra game
12 December 2007 10:30 in Derman Christophersen Room in CLC
Sector decomposition is a method to compute numerically the Laurent expansion of divergent multi-loop Feynman integrals. In this talk we point out, that solutions for Hironaka's polyhedra game, encoding the combinatorics of resolutions of singularities by a blow-up sequence, can be applied to this method. We present a systematic algorithm for sector decomposition (by Binoth and Heinrich) and indicate, how solutions for Hironaka's game are used to guarantee for the termination of this algorithm.
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