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Precise Prediction for the W-Boson Mass in the Standard Model

M. Awramik, M. Czakon, A. Freitas, G. Weiglein

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.

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.

Paper Structure

This paper contains 1 section, 12 equations, 1 figure, 2 tables.

Table of Contents

  1. Acknowledgements

Figures (1)

  • Figure 1: Prediction for $M\mathrm{W}$W$$M_$\mathrm{W}$$$ in the SM as a function of $M\mathrm{H}$H$$M_$\mathrm{H}$$$ for $m\mathrm{t}$t$$m_$\mathrm{t}$$= 174.3 \pm 5.1$ GeV. The current experimental value, $M\mathrm{W}$W$$M_$\mathrm{W}$$^{\mathrm{exp}} = 80.426 \pm 0.034$ GeV datasummer2003, and the experimental 95% C.L. lower bound on the Higgs-boson mass, $M\mathrm{H}$H$$M_$\mathrm{H}$$= 114.4$ GeV mhlimit, are also indicated.