1999/11/19 by N. E. Ligterink, N.E. Ligterink · 5 citations
Mathematics · Physics and Astronomy · #Computer science #Dark Matter and Cosmic Phenomena #Diagram #Discrete mathematics #Feynman diagram #Feynman integral #Geometry #Graph #Ladder logic #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Vertex (graph theory) #hep-ph
paper · pdf · doi:10.1103/physrevd.61.105010
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 61(10) (American Physical Society) · 7 pages, 3 figures
arxiv created 1999/11/19 · openalex publication_date 2000/04/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We determine the numerical values of scalar multiloop two-vertex Feynman diagrams, the generalized sunset diagrams, or watermelon diagrams, by integrating all but the longitudinal momenta analytically. For the longitudinal momenta we introduce one collective coordinate, which allows us to determine the numerical value of the diagram efficiently and to an arbitrary accuracy. The imaginary part and the threshold behavior of the diagram is also handled within this framework.