2001/02/03 by S. Laporta · 72 citations
Mathematics · Medicine · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Applied mathematics #Calculus (dental) #Master equation #Mathematical analysis #Mathematical physics #Mathematics #Medicine #Nonlinear Waves and Solitons #Orthodontics #Physics #Quantum mechanics #hep-ph
paper · pdf · doi:10.1016/s0370-2693(01)00256-8
published in Physics Letters B 504(1-2), 188-194 (Elsevier BV) · 7 pages, 1 figure, LaTex, to be published in Physics Letters B
arxiv created 2001/02/03 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we describe a new method of calculation of master integrals based on the solution of systems of difference equations in one variable. An explicit example is given, and the generalization to arbitrary diagrams is described. As example of application of the method, we have calculated the values of master integrals for single-scale massive three-loop vacuum diagrams, three-loop self-energy diagrams, two-loop vertex diagrams and two-loop box diagrams.