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Manuscript Title: Algebraic reduction of Feynman diagrams to scalar integrals: a
Mathematica implementation of LERG-I. | ||

Authors: R.G. Stuart | ||

Program title: LERG-I | ||

Catalogue identifier: ABBX_v3_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 85(1995)267 | ||

Programming language: Mathematica. | ||

Computer: NeXT Workstation. | ||

Operating system: UNIX. | ||

Word size: 32 | ||

Keywords: General purpose, Diagramatic expansions, Computer algebra. | ||

Classification: 4.4, 5. | ||

Revision history: | ||

Type | Tit
le | Reference |

correction | 000A CORRECTION 28/04/95 | See below |

Nature of problem:Expressions obtained in the calculation of one-loop radiative corrections in particle physics are generally simplified by expressing them in terms of scalar integrals. LERG-I reduces the form factors, associated with the various possible Lorentz tensors, occurring in the problem, to scalar integrals. | ||

Solution method:The program makes use of identities that, in the context of dimensional regularization, relate form factors to one and other in a heirarchical fashion. The end result is that all form factors are finally defined in terms of scalar integrals. | ||

Restrictions:Processes with up to four external particles can be treated. Machine storage is usually the only limitation. | ||

Running time:Depends heavily on the complexity of the problem. The examples provided as test runs took roughly 0.2 CPUs to execute. | ||

References: | ||

[1] | Mathematica, S. Wolfram, Addison-Wesley (1988) | |

CORRECTION SUMMARY | ||

Manuscript Title: Algebraic reduction of Feynman diagrams to scalar integrals: a
Mathematica implementation of LERG-I. (C.P.C. 85(1995)267). | ||

Authors: R.G. Stuart | ||

Program title: 000A CORRECTION 28/04/95 | ||

Catalogue identifier: ABBX_v3_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 88(1995)347 | ||

Classification: 4.4, 5. |

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