Periods and Feynman integrals

Abstract

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.

22 pages, appendix added, version to be published

References in corpus (4)

• Resolution of singularities for multi-loop integrals
• The massless higher-loop two-point function
• On Motives Associated to Graph Polynomials
• Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms

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