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Status of Intersection Theory and Feynman Integrals

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arxiv 2002.10476 v2 pith:S7ENSMOT submitted 2020-02-24 hep-th hep-ph

classification hep-thhep-ph
keywords feynmanintegralsintersectiontheoryanalyticarticlecontributiondecember
verification ladder T0 review T1 audit T2 compute T3 formal
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We give a pedagogical review of the recently-introduced notion of a "scalar product" between Feynman integrals and how it helps us understand the analytic structure of the perturbative S-matrix. (This article is a contribution to the proceedings of the workshop "MathemAmplitudes 2019: Intersection Theory and Feynman Integrals" held in Padova, Italy on 18-20 December 2019.)

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Cited by 1 Pith paper

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  1. Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module

    hep-th 2025-06 conditional novelty 6.0 of 10

    A Griffiths-Dwork based algorithm builds annihilators and D-modules for Feynman-like integrals, and in all tested cases the holonomic rank matches the twisted de Rham cohomology dimension.

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