Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams

Details Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams

1999-10-04

arxiv.org/abs/hep-ph/9910224v1

Phys.Rev.D61:087701,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, latex

Scientific paper

10.1103/PhysRevD.61.087701

An arbitrary term of the epsilon-expansion of dimensionally regulated off-shell massless one-loop three-point Feynman diagram is expressed in terms of log-sine integrals related to the polylogarithms. Using magic connection between these diagrams and two-loop massive vacuum diagrams, the epsilon-expansion of the latter is also obtained, for arbitrary values of the masses. The problem of analytic continuation is also discussed.

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