Blowing up Feynman integrals

Details Blowing up Feynman integrals Blowing up Feynman integrals

2008-06-26

arxiv.org/abs/0806.4307v1

Nucl.Phys.Proc.Suppl.183:256-261,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Sondershausen, April 2008

Scientific paper

10.1016/j.nuclphysbps.2008.09.11

In this talk we discuss sector decomposition. This is a method to disentangle overlapping singularities through a sequence of blow-ups. We report on an open-source implementation of this algorithm to compute numerically the Laurent expansion of divergent multi-loop integrals. We also show how this method can be used to prove a theorem which relates the coefficients of the Laurent series of dimensionally regulated multi-loop integrals to periods.

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