====== TTP98-04 Singlet Polarization Functions at O(\alpha_s^2) ====== We consider the three-loop singlet diagrams induced by axial-vector, scalar and pseudo-scalar 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 like the production of top quarks or the decay of scalar or pseudo-scalar Higgs bosons. |**K.G. Chetyrkin, R. Harlander and M. Steinhauser** | |** Phys. Rev. D 58 014012 1998 ** | | {{preprints:1998:ttp98-04.pdf|PDF}} {{preprints:1998:ttp98-04.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9801432|arXiv]] | | |