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Techniques for one-loop tensor integrals in many-particle processes

2006/01/11 by Ansgar Denner, A. Denner, S. Dittmaier · 7 citations
Mathematics · Physics and Astronomy · #Combinatorics #Geology #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematical physics #Mathematics #Particle (ecology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Tensor (intrinsic definition) #hep-ph

paper · pdf · doi:10.1016/j.nuclphysbps.2006.03.008

published in Nuclear Physics B - Proceedings Supplements 157(1), 53-57 (Elsevier BV) · 5 pages, latex, 2 postscript figures, to appear in the proceedings of the "7th International Symposium on Radiative Corrections (RADCOR2005)", Shonan Village, 2005

arxiv created 2006/01/11 · openalex publication_date 2006/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We briefly sketch the methods for a numerically stable evaluation of tensor one-loop integrals that have been used in the calculation of the complete electroweak one-loop corrections to \Pep\Pem→4 fermions. In particular, the improvement of the new methods over the conventional Passarino--Veltman reduction is illustrated for some 4-point integrals in the delicate limits of small Gram (and other kinematical) determinants.

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