The kite integral to all orders in terms of elliptic polylogarithms
By Luise Adams, Christian Bogner, A. Schweitzer, Stefan Weinzierl. 2016
139 citations recorded by the source corpus.
We show that the Laurent series of the two-loop kite integral in $D=4-2\varepsilon$ space-time dimensions can be expressed in each order of the series expansion in terms of elliptic generalisations of (multiple) polylogarithms. Using differential equations we present an iterative method to compute any desired order. As an example, we give the first three orders explicitly.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b41cb93b31f805043340d53f68233c0536f381cf
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In Applied Mathematics
In Geometry and Topology
- Falko Dulat
- Johannes Broedel
- L. Tancredi
- Claude Duhr
- L. Dixon
- Gudrun Heinrich
- S. Stieberger
- O. Schlotterer
In Nuclear and High Energy Physics
- Falko Dulat
- Johannes Broedel
- Claude Duhr
- L. Tancredi
- Erik Panzer
- Bernhard Mistlberger
- Gudrun Heinrich
- L. Dixon
Citations in the corpus
- Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism (2017, background): “The latter are known to show up also in Feynman integral computations [23].”
- Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017, unknown): “05 46”