Symbols of One-Loop Integrals From Mixed Tate Motives

Details Symbols of One-Loop Integrals From Mixed Tate Motives Symbols of One-Loop Integrals From Mixed Tate Motives

2011-05-10

arxiv.org/abs/1105.2024v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, v2: minor typos corrected

Scientific paper

We use a result on mixed Tate motives due to Goncharov (arXiv:alg-geom/9601021) to show that the symbol of an arbitrary one-loop 2m-gon integral in 2m dimensions may be read off directly from its Feynman parameterization. The algorithm proceeds via recursion in m seeded by the well-known box integrals in four dimensions. As a simple application of this method we write down the symbol of a three-mass hexagon integral in six dimensions.

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