New results for a two-loop massless propagator-type Feynman diagram

Abstract

We consider the two-loop massless propagator-type Feynman diagram with an arbitrary (non-integer) index on the central line. We analytically prove the equality of the two well-known results existing in the literature which express this diagram in terms of ${}_3{F}_2$-hypergeometric functions of argument $-1$ and $1$, respectively. We also derive new representations for this diagram which may be of importance in practical calculations.

14 pages, 5 figures (v2) 2 references added

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Cited by in corpus (2)

• Two-loop kite master integral for a correlator of two composite vertices
• Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms