Blowing up Feynman integrals
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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.
6 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Sondershausen, April 2008
6 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Sondershausen, April 2008