Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-01-26
Phys.Lett. B376 (1996) 136-141
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, elsart, also available from http://rulgm4.LeidenUniv.nl/preprints.html, added acknowledgements
Scientific paper
10.1016/0370-2693(96)00282-1
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.
Beenakker Wim
Hoogland Jiri
Jan van Oldenborgh Geert
Kleiss Ronald
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