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Manuscript Title: LOOPS: procedures for multiloop calculations in quantum field theory
for system REDUCE. | ||

Authors: L.R. Surguladze, F.V. Tkachov | ||

Program title: LOOPS | ||

Catalogue identifier: ABJO_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 55(1989)205 | ||

Programming language: Reduce. | ||

Computer: ES - 1060. | ||

Operating system: OS ES (VS2 COMPATIBLE). | ||

RAM: 400K words | ||

Word size: 32 | ||

Peripherals: disc. | ||

Keywords: Quantum field theory, High energy physics calculations, Perturbation theory, Dimensional Regularization, Mutliloop Feynman Integral, Analytical calculations. | ||

Classification: 4.4, 5. | ||

Nature of problem:Dimensionally regularized multiloop massless Feynman integrals of a propagator type (so called p-integrals), usually appearing in the tasks of the quantum field theory, in particular, high energy physics calculations are computed analytically here. | ||

Solution method:The algorithm, based on some identies, connecting different p-integrals and are true within dimensional regularization, is used. | ||

Restrictions:LOOPS contain procedures for calculating only one- and two-loop p- integrals. For F-type diagrams (see fig.2, "LONG WRITE-UP") only scalar p-integrals, i.e. the integrals without free tensor indices are allowed. For the integrals the Laurent expansion in terms of Epsilon is calculated up to and including terms of the order O(Epsilon**5-l), where Epsilon is the deviation of the space-time dimension D from the physical dimension D o (D o is an arbitrary even positive number) within the dimensional regularization (D=D o - 2Epsilon) and 1 is the number of loops. | ||

Running time:It strongly depends on the topology and complexity of the calculated diagram and can fluctuate from a few seconds to 10**3 seconds and more for the most complex tasks for ES-1060 computer. |

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