Automatic computation of Feynman diagrams

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 parti...

Full description

Saved in:
Bibliographic Details
Published in:Progress in particle and nuclear physics 1999, Vol.43, p.167-228
Main Authors: Harlander, R., Steinhauser, M.
Format: Article
Language:English
Subjects:
calculational techniques
computer algebra
electroweak physics
Feynman diagrams
quantum chromodynamics
radiative corrections
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0146-6410
1873-2224
DOI:10.1016/S0146-6410(99)00095-2