Abstract
We consider the three-loop singlet diagrams induced by axial-vector, scalar, and pseudoscalar currents. Expansions for small and large external momentum $q$ are presented. They are used in combination with conformal mapping and Pad\'e approximations in order to arrive at results for the polarization functions valid for all ${q}^{2}.$ Results are presented for the imaginary parts which are directly related to physical quantities such as the production of top quarks or the decay of scalar or pseudoscalar Higgs bosons.
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