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Manuscript Title: Algebraic reduction of one-loop Feynman diagrams to scalar integrals
II. | ||

Authors: R.G. Stuart, A. Gongora-T | ||

Program title: LERG-I | ||

Catalogue identifier: ABBX_v2_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 56(1990)337 | ||

Programming language: Reduce. | ||

Computer: IBM 4381. | ||

Keywords: General purpose, Diagramatic expansions, Gauge theories, Renormalizable theories, Scalar integrals, One-loop integrals, Feynman diagrams, Dimensional Regularization, Reduce. | ||

Classification: 4.4, 5. | ||

Nature of problem:Expressions obtained in the calculation of one-loop radiative processes in high energy physics are generally simplified by expressing them in terms of scalar integrals. LERG-I makes the reduction from form factors assocated with the various possible Lorentz tensors occuring in the problem. | ||

Solution method:The program makes use of identities that, in the context of dimensional regularization, relate the various form factors to one and other in a hierarchical 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 test run took 40 CPU s. To initialize the C4 form factors with all arguments different and non-zero takes 259 CPU s. |

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