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Phys. Rev. D 61, 087701 (2000) [4 pages]

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

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A. I. Davydychev*
Department of Physics, University of Mainz, Staudingerweg 7, D-55099 Mainz, Germany

Received 6 October 1999; published 15 March 2000

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

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.087701
DOI:
10.1103/PhysRevD.61.087701
PACS:
11.15.Bt, 02.30.Mv, 12.38.Bx

*On leave from Institute for Nuclear Physics, Moscow State University, 119899 Moscow, Russia. Electronic address: davyd@thep.physik.uni-mainz.de