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arXiv · 0806.4307

Blowing up Feynman integrals

Christian Bogner·Stefan Weinzierl
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Abstract

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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Christian Bogner, Stefan Weinzierl. 2008-06-26. Blowing up Feynman integrals. https://doi.org/10.1016/j.nuclphysbps.2008.09.113

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