Periods and Feynman integrals

Details Periods and Feynman integrals Periods and Feynman integrals

2007-11-30

arxiv.org/abs/0711.4863v2

J.Math.Phys.50:042302,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, appendix added, version to be published

Scientific paper

10.1063/1.3106041

We consider multi-loop integrals in dimensional regularisation and the
corresponding Laurent series. We study the integral in the Euclidean region and
where all ratios of invariants and masses have rational values. We prove that
in this case all coefficients of the Laurent series are periods.

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