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Recursion relations for two-loop self-energy diagrams on-shell

J. Fleischer·M. Yu. Kalmykov·A. V. Kotikov
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Abstract

A set of recurrence relations for on-shell two-loop self-energy diagrams with one mass is presented, which allows to reduce the diagrams with arbitrary indices (powers of scalar propagators) to a set of the master integrals. The SHELL2 package is used for the calculation of special types of diagrams. A method of calculation of higher order ε-expansion of master integrals is demonstrated.

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J. Fleischer, M. Yu. Kalmykov, A. V. Kotikov. 1999-05-18. Recursion relations for two-loop self-energy diagrams on-shell. https://arxiv.org/abs/hep-ph/9905379

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