Precise prediction for the<i>W</i>-boson mass in the standard model

Abstract

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 $10\mathrm{GeV}&lt;~{M}_{H}&lt;~1\mathrm{TeV}$ if the other parameters are varied within their combined 2\ensuremath{\sigma} 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 ${M}_{H}\ensuremath{\lesssim}300\mathrm{GeV}.$