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One loop integrals reduction

2012/04/18 by Yi Sun, Yi Sun‡, Hao-Ran Chang
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Computational Physics and Python Applications #Feynman diagram #Feynman integral #Geometry #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Recursion (computer science) #Reduction (mathematics) #Symmetry (geometry) #hep-ph

paper · pdf · doi:10.1088/1674-1137/36/11/004

published as CHINESE PHYSICS C 36 (2012) 1055 · 14 pages, 1 figure

arxiv created 2012/04/18 · openalex publication_date 2012/11/01 · arxiv updated 2013/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly.

Citations