Article ID Journal Published Year Pages File Type
1845131 Nuclear Physics B - Proceedings Supplements 2008 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics