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

Abstract

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.

6 pages, requires espcrc2.sty, contribution to the Zeuthen Workshop "Loops and Legs in Gauge Theories" (Bastei, Germany, April 2000)

References in corpus (5)

• Harmonic Polylogarithms
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• The Standard Model Effective Potential at Two Loops
• Two-loop self-energy master integrals on shell
• Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion

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