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On the asymptotic ${\cal O}(αα_S)$ behavior of the electroweak gauge bosons vacuum polarization functions for arbitrary quark masses

A. Djouadi·P. Gambino
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Abstract

We derive the QCD corrections to the electroweak gauge bosons vacuum polarization functions at high and zero--momentum transfer in the case of arbitrary internal quark masses. We then discuss in this general case (i) the connection between the $O(αα_S)$ calculations of the vector bosons self--energies using dimensional regularization and the one performed via a dispersive approach and (ii) the QCD corrections to the $ρ$ parameter for a heavy quark isodoublet.

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A. Djouadi, P. Gambino. 1993-08-25. On the asymptotic ${\cal O}(αα_S)$ behavior of the electroweak gauge bosons vacuum polarization functions for arbitrary quark masses. https://doi.org/10.1103/physrevd.49.4705

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