1997/02/28 by A. Ghinculov, Adrian Ghinculov, Y. -P. Yao +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic number #Black Holes and Theoretical Physics #Feynman diagram #Feynman integral #Particle physics theoretical and experimental studies #Propagator #Scalar (mathematics) #Set (abstract data type) #Tensor (intrinsic definition) #Tensor product #hep-ph
paper · pdf · doi:10.1016/s0550-3213(98)00065-0
published as Nucl.Phys. B516 (1998) 385-401 · to appear in Nucl. Phys. B
arxiv created 1998/02/19 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a framework for calculating two-loop Feynman diagrams which appear within a renormalizable theory in the general mass case and at finite external momenta. Our approach is a combination of analytical results and of high accuracy numerical integration, similar to a method proposed previously for treating diagrams without numerators. We reduce all possible tensor structures to a small set of scalar integrals, for which we provide integral representations in terms of four basic functions. The algebraic part is suitable for implementing in a computer program for the automatic generation and evaluation of Feynman graphs. The numerical part is essentially the same as in the case of Feynman diagrams without numerators.