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arxiv: hep-ph/9910223 · v3 · submitted 1999-10-04 · ✦ hep-ph · hep-th

Single mass scale diagrams: construction of a basis for the ε-expansion

classification ✦ hep-ph hep-th
keywords basisconstructiondiagramsmassscalesingleansatzbroadhurst
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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.

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