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High Energy Physics - Theory

arXiv:2111.01498 (hep-th)
[Submitted on 2 Nov 2021 (v1), last revised 3 Nov 2021 (this version, v2)]

Title:The Diagrammatic Coaction and Cuts of the Double Box

Authors:Einan Gardi, Aris Ioannou
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Abstract:The diagrammatic coaction encodes the analytic structure of Feynman integrals by mapping any given Feynman diagram into a tensor product of diagrams defined by contractions and cuts of the original diagram. Feynman integrals evaluate to generalized hypergeometric functions in dimensional regularization. Establishing the coaction on this type of functions has helped formulating and checking the diagrammatic coaction of certain two-loop integrals. In this talk we study its application on the fully massless double box diagram. We make use of differential equation techniques, which, together with the properties of homology and cohomology theory of the resulting hypergeometric functions, allow us to formulate the coaction on a range of cuts of the double box in closed form.
Comments: 11 pages, talk given at RADCOR 2021
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.01498 [hep-th]
  (or arXiv:2111.01498v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.01498
Related DOI: https://doi.org/10.21468/SciPostPhysProc.%3F

Submission history

From: Aris Ioannou [view email]
[v1] Tue, 2 Nov 2021 10:57:06 UTC (651 KB)
[v2] Wed, 3 Nov 2021 14:01:16 UTC (652 KB)
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