Semi-numerical power expansion of Feynman integrals

Details Semi-numerical power expansion of Feynman integrals Semi-numerical power expansion of Feynman integrals

2008-08-19

arxiv.org/abs/0808.2555v2

JHEP0809:135,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 1 figure Version with minor changes, finally accepted from JHEP

Scientific paper

10.1088/1126-6708/2008/09/135

I present an algorithm based on sector decomposition and Mellin-Barnes techniques to power expand Feynman integrals. The coefficients of this expansion are given in terms of finite integrals that can be calculated numerically. I show in an example the benefit of this method for getting the full analytic power expansion from differential equations by providing the correct ansatz for the solution. For method of regions the presented algorithm provides a numerical check, which is independent from any power counting argument.

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