WHAT WILL THE TOP QUARK TELL US ABOUT THE HIGGS BOSON MASS?

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Abstract
If the Tevatron discovers the top (t) quark and determines its mass with reasonable precision during the next few years, our knowledge of the radiative corrections in the standard model can be combined with other existing data to constrain the mass of the Higgs boson (mH) from above. To demonstrate this, we show that if mt = 100(120,150) ± 10 GeV , one finds that mH ≤ 225 (270, 473) GeV at the 95% C. L. from existing data. For heavy top-quark masses, lower bounds on mH are also obtained. The importance of including two-loop electroweak corrections and Consoli–Hollik–Jegerlehner resummation in obtaining these bounds on mH is emphasized. The present analysis incorporates these leading two-loop electroweak corrections for the first time, includes the three-loop QCD contributions to the partial widths of the Z, and uses the latest available set of input data.

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