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

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

1993-08-25

arxiv.org/abs/hep-ph/9308338v1

Phys.Rev. D49 (1994) 4705-4712

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages + 2 figures (not included: available by mail from A. Djouadi), Preprint UdeM-LPN-TH-93-156 and NYU-TH-93/05/02

Scientific paper

10.1103/PhysRevD.49.4705

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 $O(\alpha \alpha_S)$ 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 $\rho$ parameter for a heavy quark isodoublet.

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