Singlet Polarization Functions at O(α_s^2)

Details Singlet Polarization Functions at O(α_s^2) Singlet Polarization Functions at O(α_s^2)

1998-01-29

arxiv.org/abs/hep-ph/9801432v1

Phys.Rev. D58 (1998) 014012

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 15 pages, 10 figures included as ps-files. The complete paper is also available via anonymous ftp at ftp://ttpux2.physi

Scientific paper

10.1103/PhysRevD.58.014012

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.

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