Any massless-internal Feynman integral is a limit of a conformal integral, letting conformal-family computations supply exact answers for many Feynman diagrams.
The Double Box and Hexagon Conformal Feynman Integrals
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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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Feynman Diagrams from Conformal Integrals
Any massless-internal Feynman integral is a limit of a conformal integral, letting conformal-family computations supply exact answers for many Feynman diagrams.