A geometric method of sector decomposition

Abstract

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.

17 pages, 2 eps figures

References in corpus (7)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Sector Decomposition
• Resolution of singularities for multi-loop integrals
• QCD corrections to tri-boson production
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• Blowing up Feynman integrals
• Semi-numerical power expansion of Feynman integrals

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