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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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LaTeX, 5 pages, no figures, Talk given at 5th International Workshop on New Computing Techniques in Physics Research: Software

Scientific paper

10.1016/S0168-9002(97)00126-5

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.

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