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The complete fermionic two-loop contributions to the prediction for the W-boson mass from muon decay in the electroweak Standard Model are evaluated exactly, i.e. no expansion in the top-quark and the Higgs-boson mass is made. The result for the W-boson mass is compared with the previous result of an expansion up to next-toleading order in the top-quark mass. The predictions are found to agree with each other within about 5 MeV. A simple parametrization of the new result is presented, approximating the full result to better than 0.4 MeV for M H ≤ 1 TeV. *

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Recently exact results for the complete fermionic two-loop contributions to the prediction for the W-boson mass from muon decay in the electroweak Standard Model have been published [1]. This paper illustrates the techniques that have been applied for this calculation, in particular the renormalisation procedure and the treatment of IR-divergent QED contributions. Numerical results are presented in terms of simple parametrisation formulae and compared in detail with a previous result of an expansion up to next-to-leading order in the top-quark mass. An estimate of the remaining theoretical uncertainties of the M W -prediction from unknown higher-order corrections is given. For the bosonic two-loop corrections a partial result is presented, yielding the Higgs-mass dependence of these contributions. * email: Ayres.Freitas@desy.de †

A nonlinear equation for a suspension bridge is shown to have travelling wave solutions by explicit calculation. The shape and speed of the waves is plotted.

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