Abstract
We consider the three-loop singlet diagrams induced by axial-vector, scalar and pseudo-scalar currents. Expansions for small and large external momentum are presented. They are used in combination with conformal mapping and Padé approximations in order to arrive at results for the polarization functions valid for all . Results are presented for the imaginary parts which are directly related to physical quantities like the production of top quarks or the decay of scalar or pseudo-scalar Higgs bosons.
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