The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

By Luise Adams, Christian Bogner, Stefan Weinzierl. 2014

187 citations recorded by the source corpus.

We present the two-loop sunrise integral with arbitrary non-zero masses in two space-time dimensions in terms of elliptic dilogarithms. We find that the structure of the result is as simple and elegant as in the equal mass case, only the arguments of the elliptic dilogarithms are modified. These arguments have a nice geometric interpretation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/681f985af436fcd8948fde48aa0e51f60fffca8a

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In Astronomy and Astrophysics

1. L. Tancredi
2. Claude Duhr
3. Falko Dulat
4. Johannes Broedel
5. Ettore Remiddi
6. A. Primo
7. Bernhard Mistlberger

In Nuclear and High Energy Physics

1. Falko Dulat
2. L. Tancredi
3. Claude Duhr
4. Johannes Broedel
5. Ettore Remiddi
6. Erik Panzer
7. Bernhard Mistlberger
8. Gudrun Heinrich

In Statistical and Nonlinear Physics

1. L. Tancredi
2. Claude Duhr
3. Ettore Remiddi
4. Falko Dulat
5. Johannes Broedel

Citations in the corpus

• Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral (2016, methodology): “…increase 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…”
• Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism (2017, background): “Our paper is not the first to consider elliptic generalisations of MPLs [14, 17, 19, 20, 24, 31, 45, 49, 50] or iterated integrals over integration kernels that involve square roots of polynomials of degree greater than two [51].”
• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017, unknown): “05 46”
• Lectures on differential equations for Feynman integrals (2014, unknown): “in [38, 39].”