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ALTERNATIVE METHOD OF REDUCTION OF THE FEYNMAN DIAGRAMS TO A SET OF MASTER INTEGRALS

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2016
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HIGH ENERGY PHYSICS - THEORY
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WE PROPOSE A NEW SET OF MASTER INTEGRALS WHICH CAN BE USED AS A BASIS FOR CERTAIN MULTILOOP CALCULATIONS IN MASSLESS GAUGE FIELD THEORIES. IN THESE THEORIES WE CONSIDER THREE-POINT FEYNMAN DIAGRAMS WITH ARBITRARY NUMBER OF LOOPS. THE CORRESPONDING MULTILOOP INTEGRALS MAY BE DECOMPOSED IN TERMS OF THIS SET OF THE MASTER INTEGRALS. WE CONSTRUCT A NEW REDUCTION PROCEDURE WHICH WE APPLY TO PERFORM THIS DECOMPOSITION.
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