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arXiv · 2202.05490

Bananas: multi-edge graphs and their Feynman integrals

Dirk Kreimer
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Abstract

We consider multi-edge or banana graphs $b_n$ on $n$ internal edges $e_i$ with different masses $m_i$. We focus on the cut banana graphs $\Im(\Phi_R(b_n))$ from which the full result $\Phi_R(b_n)$ can be derived through dispersion. We give a recursive definition of $\Im(\Phi_R(b_n))$ through iterated integrals. We discuss the structure of this iterated integral in detail. A discussion of accompanying differential equations, of monodromy and of a basis of master integrals is included.

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Dirk Kreimer. 2022-02-11. Bananas: multi-edge graphs and their Feynman integrals. https://doi.org/10.1007/s11005-023-01660-4

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