Differential reduction of generalized hypergeometric functions from Feynman diagrams: One-variable case |
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Authors: | Vladimir V Bytev Mikhail Yu Kalmykov Bernd A Kniehl |
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Institution: | II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany |
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Abstract: | The differential-reduction algorithm, which allows one to express generalized hypergeometric functions with parameters of arbitrary values in terms of the same functions with parameters whose values differ from the original ones by integers, is discussed in the context of evaluating Feynman diagrams. Where this is possible, we compare our results with those obtained using standard techniques. It is shown that the criterion of reducibility of multiloop Feynman integrals can be reformulated in terms of the criterion of reducibility of hypergeometric functions. The relation between the numbers of master integrals obtained by differential reduction and integration by parts is discussed. |
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Keywords: | Generalized hypergeometric functions Differential reduction Laurent expansion Multiloop calculations |
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