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The Double Box and Hexagon Conformal Feynman Integrals

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arxiv 2007.08360 v1 pith:7Z47NZDW submitted 2020-07-16 hep-th hep-phmath-phmath.MP

B. Ananthanarayan , Sumit Banik , Samuel Friot , Shayan Ghosh This is my paper · ORCID
classification hep-thhep-phmath-phmath.MP
keywords conformaldoublefeynmanhexagondimensionsintegralsrepresentationsterms
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abstract

The off-shell massless six-point double box and hexagon conformal Feynman integrals with generic propagator powers are expressed in terms of linear combinations of multiple hypergeometric series of the generalized Horn type. These results are derived from 9-fold Mellin-Barnes representations obtained from their dual conformal Feynman parameter representations. The individual terms in the presented expressions satisfy the differential equation that relates the double box in $D$ dimensions to the hexagon in $D+2$ dimensions.

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Cited by 1 Pith paper

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  1. Feynman Diagrams from Conformal Integrals

    hep-th 2024-12 conditional novelty 6.0 of 10

    Any massless-internal Feynman integral is a limit of a conformal integral, letting conformal-family computations supply exact answers for many Feynman diagrams.

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