Precise Prediction for the W-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 analysed in detail. A simple parametrisation of the full result is presented, which approximates the full result for M_W to better than 0.5 MeV for 10 GeV < M_H < 1 TeV if the other parameters are varied within their combined 2 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 < 300 GeV.

10 pages, 1 figure; v2: update including 4-loop corrections to the rho parameter and new value for the Fermi constant; v3: typo in Tab.1 corrected (for 4-loop rho parameter value)

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