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Recent developments from Feynman integrals

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arxiv 2401.06360 v1 pith:J3BTBLFX submitted 2023-12-22 hep-th hep-ph

Recent developments from Feynman integrals

classification hep-th hep-ph
keywords feynmanintegralscasedevelopmentsdiscussgenushigherintegral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This talk reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the simplest case this is a complex curve of genus zero (aka the Riemann sphere). In this talk we discuss Feynman integrals related to more complicated geometries like curves of higher genus or manifolds of higher dimensions. In the latter case we encounter Calabi-Yau manifolds. We also discuss how to compute these Feynman integrals.

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