pith. sign in

arxiv: 0711.4863 · v2 · submitted 2007-11-30 · ✦ hep-th · hep-ph

Periods and Feynman integrals

classification ✦ hep-th hep-ph
keywords integralslaurentperiodsseriescasecoefficientsconsidercorresponding
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Emergence of Calabi-Yau manifolds in high-precision black hole scattering

    hep-th 2024-11 unverdicted novelty 8.0

    At 5PM-1SF order, Calabi-Yau three-fold periods emerge in radiation-reacted observables for classical black hole scattering computed with worldline QFT and advanced IBP/DE methods.

  2. Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics

    hep-th 2025-12 unverdicted novelty 7.0

    Twisted Feynman integrals are introduced with graded Symanzik polynomials, classified as exponential periods, and shown to have geometry not inferable from generalized Baikov leading singularities.

  3. Fano and Reflexive Polytopes from Feynman Integrals

    hep-th 2025-12 unverdicted novelty 6.0

    Quasi-finite Feynman integrals produce sparse Fano and reflexive polytopes that encode degenerate Calabi-Yau varieties and link to del Pezzo surfaces, K3 surfaces, and Calabi-Yau threefolds.