Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams

Details Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams

2000-05-31

arxiv.org/abs/hep-th/0005287v1

Nucl.Phys.Proc.Suppl. 89 (2000) 283-288

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, requires espcrc2.sty, contribution to the Zeuthen Workshop "Loops and Legs in Gauge Theories" (Bastei, Germany, April

Scientific paper

10.1016/S0920-5632(00)00857-4

Some problems related to construction of the epsilon-expansion of dimensionally regulated Feynman integrals are discussed. For certain classes of diagrams, an arbitrary term of the epsilon-expansion can be expressed in terms of log-sine integrals related to the polylogarithms. It is shown how the analytic continuation of these functions can be constructed in terms of the generalized Nielsen polylogarithms.

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