Mellin–Barnes representations of Feynman diagrams,linear systems of differential equations,and polynomial solutions |
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Authors: | 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: | We argue that the Mellin–Barnes representations of Feynman diagrams can be used for obtaining linear systems of homogeneous differential equations for the original Feynman diagrams with arbitrary powers of propagators without recourse to the integration-by-parts technique. These systems of differential equations can be used (i) for the differential reductions to sets of basic functions and (ii) for counting the numbers of master integrals. |
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Keywords: | Feynman diagrams Hypergeometric functions Mellin&ndash Barnes representations |
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