The iterated structure of the all-order result for the two-loop sunrise integral

By Luise Adams, Christian Bogner, Stefan Weinzierl. 2015

141 citations recorded by the source corpus.

We present a method to compute the Laurent expansion of the two-loop sunrise integral with equal non-zero masses to arbitrary order in the dimensional regularisation e. This is done by introducing a class of functions (generalisations of multiple polylogarithms to include the elliptic case) and by showing that all integrations can be carried out within this class of functions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dabc2c4a4306084b55ef3e42797e7c08fd670009

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In Astronomy and Astrophysics

1. L. Tancredi
2. Ettore Remiddi
3. A. Primo
4. Bernhard Mistlberger

In Nuclear and High Energy Physics

1. L. Tancredi
2. Ettore Remiddi
3. Gudrun Heinrich
4. Bernhard Mistlberger
5. A. Primo
6. Erik Panzer
7. Hjalte Frellesvig
8. Pierpaolo Mastrolia

Citations in the corpus

• Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral (2016, methodology): “…in our knowledge of the mathematical structures that appear in multiloop Feynman integrals, thanks to the combined use of various computational techniques, such as to the method of differential equations [1–3], the introduction of a class of special functions (dubbed originally harmonic…”
• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017, unknown): “05 46”