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Bananas: multi-edge graphs and their Feynman integrals

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arxiv 2202.05490 v2 pith:QGDDAZJK submitted 2022-02-11 hep-th

Dirk Kreimer This is my paper · ORCID
classification hep-th
keywords graphsintegralsbananaiteratedmulti-edgeaccompanyingbananasbasis
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Special Fano geometry from Feynman integrals

    hep-th 2024-12 conditional novelty 5.0 of 10

    Special Fano varieties, which include Calabi-Yau spaces as the Q=1 case, arise from the Symanzik polynomials of several families of Feynman integrals.

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