Calculation of two-loop top-quark and Higgs-boson corrections in the electroweak Standard Model

Abstract

A combination of algebraical and numerical techniques for calculating two-loop top-quark and Higgs-boson corrections to electroweak precision observables like r or the -parameter is presented. The renormalization is performed within the on-shell scheme. The results of the calculations are valid for arbitrary values of mt, MH and of the gauge-boson masses. An example is treated where the full result is compared to the result obtained via an expansion up to next-to-leading order in mt. As an application, results for the Higgs-mass dependent top-contributions to r are given.

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