Three-Loop Leading Top Mass Contributions to the rho Parameter

Abstract

We present analytical results for the leading contributions of the top quark to the electroweak rho parameter at order GF^3 Mt^6 and GF^2 Mt^4 alpha_s. The Higgs boson and the gauge bosons are taken to be massless in this limit. The correction of order GF^3 Mt^6 is found to be sizeable in comparison to the the leading two-loop GF^2 Mt^4 correction, however it is much smaller than the subleading GF^2 Mt^2 MZ^2 correction.

10 pages, 2 figures, Latex. v2: two minor corrections in the references. Accepted for publication in Phys. lett. B. The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/

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• Three-Loop Leading Top Mass Contributions to the rho Parameter

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