Explicit solutions of the 3--loop vacuum integral recurrence relations

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages, misprint in the intermediate formula corrected

Scientific paper

10.1016/0370-2693(96)00835-0

Explicit formulas for the solutions of the recurrence relations for 3--loop
vacuum integrals are suggested. This formulas can be used for direct
calculations and demonstrate a high efficiency. They also produce a new type of
recurrence relations over the space--time dimension.

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