Freiburg 2008 – scientific programme

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T: Fachverband Teilchenphysik

T 21: Quantenfeldtheorie I

T 21.6: Talk

Thursday, March 6, 2008, 18:05–18:20, KGI-HS 1016

Sector decomposition and Hironaka's polyhedra game — •Christian Bogner — Institut fuer Physik, Universitaet Mainz

Sector decomposition is a method to compute numerically the Laurent expansion of divergent multi-loop Feynman integrals. In this talk we point out, that winning strategies for Hironaka's polyhedra game, encoding the combinatorics of resolutions of singularities by a blow-up sequence, can be applied to this method. We indicate how these strategies are used to guarantee for the termination of the sector decomposition algorithm by Binoth and Heinrich.