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

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

1999-10-04

arxiv.org/abs/hep-ph/9910223v3

Phys.Lett. B470 (1999) 168-176

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0370-2693(99)01321-0

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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