A geometric method of sector decomposition

Details A geometric method of sector decomposition A geometric method of sector decomposition

2009-08-20

arxiv.org/abs/0908.2897v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 eps figures

Scientific paper

We propose a new geometric method of IR factorization in sector decomposition. The problem is converted into a set of problems in convex geometry. The latter problems are solved using algorithms in combinatorial geometry. This method provides a deterministic algorithm and never falls into an infinite loop. The number of resulting sectors depends on the algorithm of triangulation. Our test implementation shows smaller number of sectors comparing with other existing methods with iterations.

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