Precise prediction for theW-boson mass in the standard model

The presently most accurate prediction for the W-boson mass in the standard model is obtained by combining the complete two-loop result with the known higher-order QCD and electroweak corrections. The numerical impact of the different contributions is analyzed in detail. A simple parametrization of the full result is presented, which approximates the full result for $M_W$ to better than 0.5 MeV for $10\mathrm{GeV}<~M_H<~1\mathrm{TeV}$ if the other parameters are varied within their combined 2σ region around their experimental central values. The different sources of remaining theoretical uncertainties are investigated. Their effect on the prediction of $M_W$ is estimated to be about 4 MeV for $M_H\lesssim 300\mathrm{GeV}.$