Some methods to evaluate the complicated Feynman integrals

2003/03/07 by A. V. Kotikov
Mathematics · Medicine · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Applied mathematics #Black Holes and Theoretical Physics #Calculus (dental) #Differential (mechanical device) #Differential equation #Feynman diagram #Feynman integral #Mathematical analysis #Mathematical physics #Mathematics #Medicine #Order of integration (calculus) #Particle physics theoretical and experimental studies #Physics #Polynomial #Pure mathematics #hep-ph

paper · pdf · doi:10.1016/s0168-9002(03)00521-7

published as Nucl.Instrum.Meth. A502 (2003) 615-617 · 2 pages, 1 figure, latex. Talk presented at the 8th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 2002), Moscow, Russia, June 2002

arxiv created 2003/03/07 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Technique and the Differential Equation Method.

Citations

• Gluon Regge trajectory in the two-loop approximation
• Differential Equations for Two-Loop Four-Point Functions
• Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
• Analytical result for dimensionally regularized massive on-shell planar double box
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories