ON-SHELL2: FORM based package for the calculation of two loop selfenergy single scale Feynman diagrams occurring in the standard model

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.

Note:

24 pages, elsart.sty; LaTeX, 4 eps-figures; in v4 the typos in Appendix A and C corrected

Feynman graph: higher-order
propagator
renormalization
mass: pole
analytic properties
topology
programming
bibliography

References(44)

Figures(0)

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