Automatic Computation of Feynman Diagrams

Details Automatic Computation of Feynman Diagrams Automatic Computation of Feynman Diagrams

1998-12-14

arxiv.org/abs/hep-ph/9812357v2

Prog.Part.Nucl.Phys.43:167-228,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 62 pages. Typos corrected, references updated and some comments added. Vertical offset changed. The complete paper is a

Scientific paper

10.1016/S0146-6410(99)00095-2

Quantum corrections significantly influence the quantities observed in modern particle physics. The corresponding theoretical computations are usually quite lengthy which makes their automation mandatory. This review reports on the current status of automatic calculation of Feynman diagrams in particle physics. The most important theoretical techniques are introduced and their usefulness is demonstrated with the help of simple examples. A survey over frequently used programs and packages is provided, discussing their abilities and fields of applications. Subsequently, some powerful packages which have already been applied to important physical problems are described in more detail. The review closes with the discussion of a few typical applications for the automated computation of Feynman diagrams, addressing current physical questions like properties of the $Z$ and Higgs boson, four-loop corrections to renormalization group functions and two-loop electroweak corrections.

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