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arXiv · hep-ph/9601347

Definitions and upper bounds for unstable boson masses

Wim Beenakker·Geert Jan van Oldenborgh·Jiri Hoogland·Ronald Kleiss
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Abstract

We consider the problem of a proper definition of the mass of a heavy unstable boson. It is shown how various definitions are related by the renormalization-scheme independence of the full resummed amplitude. This is made explicit for the $W$ boson in the large $N_f$ limit, where we find an upper bound on the peak position of the lineshape and on the mass, provided a sensible definition of the mass is used. In more realistic models, we conjecture that under certain conditions the mass is similarly bounded. Using this approach an upper limit of about 1 TeV on the mass of the Minimal-Standard-Model Higgs boson is found, independent of any breakdown of perturbation theory.

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Wim Beenakker, Geert Jan van Oldenborgh, Jiri Hoogland, Ronald Kleiss. 1996-02-01. Definitions and upper bounds for unstable boson masses. https://doi.org/10.1016/0370-2693(96)00282-1

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