Blowing up Feynman integrals
High Energy Physics - Phenomenology
2008-11-26 v1
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.
Cite
@article{arxiv.0806.4307,
title = {Blowing up Feynman integrals},
author = {Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:0806.4307},
year = {2008}
}
Comments
6 pages, talk given at the conference "Loops and Legs in Quantum Field Theory", Sondershausen, April 2008