arXiv:hep-ph/0212040·v1·High Energy Physics — Phenomenology
A closed analytical formula for two-loop massive tadpoles with arbitrary tensor numerators
K.G. Chetyrkin (Institute for Nuclear Research of the Academy of Sciences of Russian Federation)🇷🇺
Abstract
Using the integration by parts method we derive a closed analytical expression for the result of the integration of an arbitrary dimensionally regulated tadpole diagram composed of a massless propagator and two massive ones, each raised into an arbitrary power, and including an arbitrary tensor numerator. We also briefly discuss the implementation of the formula in the algebraic manipulation language of FORM.
Comments: an old article published in New Computing Techniques in Physics Research III, (Proceedings of AIHENP-93),eds. K.-H. Becks and D. Perret-Gallix (World Scientific, Singapore, 1994), p.559