Explicit solutions of the multi-loop integral recurrence relations and its application

Abstract

The approach to the constructing explicit solutions of the recurrence relations for multi-loop integrals are suggested. The resulting formulas demonstrate a high efficiency, at least for 3-loop vacuum integrals case. They also produce a new type of recurrence relations over the space-time dimension.

LaTeX, 5 pages, no figures, Talk given at 5th International Workshop on New Computing Techniques in Physics Research: Software Engineering, Neural Nets, Genetic Algorithms, Expert Systems, Symbolic Algebra, Automatic Calculations (AIHENP 96), Lausanne, Switzerland, 2-6 Sep 1996

References in corpus (3)

• Connection between Feynman integrals having different values of the space-time dimension
• Explicit solutions of the 3--loop vacuum integral recurrence relations
• Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass

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