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Physics  1999 

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

DOI: 10.1016/S0370-2693(99)01321-0

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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.

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