Singlet polarization functions atO(αs2)

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 Padé approximations in order to arrive at results for the polarization functions valid for all q2. 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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