Geometric approach to asymptotic expansion of Feynman integrals

By Alexey Pak, A. Smirnov. 2010

155 citations recorded by the source corpus.

We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a convex hull of a set of points in a multidimensional vector space.

Subfields: Applied Mathematics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b4ab1e77693d5f6b0d76324806b22c25e02d6282

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. B. Jantzen
2. Erik Panzer
3. I. Rothstein
4. Iain W. Stewart

In Mathematical Physics

1. B. Jantzen
2. Erik Panzer

In Nuclear and High Energy Physics

1. B. Jantzen
2. Erik Panzer

Citations in the corpus

• Foundation and generalization of the expansion by regions (2011, methodology): “Based on this approach, an algorithm for finding the regions in alpha-parameter representations has recently been developed [5].”
• Feynman integrals and hyperlogarithms (2015, methodology): “Otherwise more general scaling vectors can be relevant and an algorithm as presented in [135] should be used instead.”