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)

A closed analytical formula for two-loop massive tadpoles with arbitrary tensor numerators

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arxiv hep-ph/0212040 v1 pith:PCELJON3 submitted 2002-12-03 hep-ph

K.G. Chetyrkin (Institute for Nuclear Research of the Academy of Sciences of Russian Federation) This is my paper · ORCID

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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.

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