# ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model

Fleischer J, Kalmykov MY (2000)

COMPUTER PHYSICS COMMUNICATIONS 128(3): 531-549.

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Fleischer, Jochem

^{UniBi}; Kalmykov, MYAbstract

A FORM based package (ON-SHELL2) for the calculation of two loop self-energy diagrams with one nonzero mass in internal lines and the external momentum on the same mass shell is elaborated. The algorithm, based on recurrence relations obtained from the integration-by-parts method, allows us to reduce diagrams with arbitrary indices (powers of scalar propagators) to a set of master integrals. The SHELL2 package is used for the calculation of special types of diagrams. Analytical results for master integrals are collected. (C) 2000 published by Elsevier Science B.V. All rights reserved.

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Fleischer J, Kalmykov MY. ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model.

*COMPUTER PHYSICS COMMUNICATIONS*. 2000;128(3):531-549.Fleischer, J., & Kalmykov, M. Y. (2000). ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model.

*COMPUTER PHYSICS COMMUNICATIONS*,*128*(3), 531-549.Fleischer, J., and Kalmykov, M. Y. (2000). ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model.

*COMPUTER PHYSICS COMMUNICATIONS*128, 531-549.Fleischer, J., & Kalmykov, M.Y., 2000. ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model.

*COMPUTER PHYSICS COMMUNICATIONS*, 128(3), p 531-549. J. Fleischer and M.Y. Kalmykov, “ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model”,

*COMPUTER PHYSICS COMMUNICATIONS*, vol. 128, 2000, pp. 531-549. Fleischer, J., Kalmykov, M.Y.: ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model. COMPUTER PHYSICS COMMUNICATIONS. 128, 531-549 (2000).

Fleischer, Jochem, and Kalmykov, MY. “ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model”.

*COMPUTER PHYSICS COMMUNICATIONS*128.3 (2000): 531-549.
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arXiv hep-ph/9907431

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