Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion

Abstract

Exploring the idea of Broadhurst on the ``sixth root of unity'' we present an ansatz for construction of a basis of transcendental numbers for the epsilon-expansion of single mass scale diagrams with two particle massive cut. As example, several new two- and three-loop master integrals are calculated.

13 pages, LaTeX, two eps-figures. in v.3 misprint in epsilon-part of Eq.(10) is corrected

References in corpus (2)

• Two-loop self-energy master integrals on shell
• Transcendental numbers and the topology of three-loop bubbles

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