Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-10-22
Nucl.Phys.Proc.Suppl. 30 (1993) 685-689
Physics
High Energy Physics
High Energy Physics - Lattice
5 pages with 5 ps figures included. LaTex file. Contribution to the LAT92 proceedings. Preprint, FSU-SCRI-92-150, RU-92-43
Scientific paper
10.1016/0920-5632(93)90302-M
We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group $SU(2)_L \times SU(2)_{\rm custodial} \approx O(4)$ has been replaced by $O(N)$ and $N$ has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from $N=\infty$ to $N=4$ we conservatively estimate that a Higgs particle with mass up to $0.750~TeV$ and width up to $0.290~TeV$ is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical $N=4$ case for the $F_4$ lattice that are in agreement with the large $N$ expectations. Note: The full ps file is also available via anonymous ftp to ftp.scri.fsu.edu. To get the ps file, ftp to this address and use for username "anonymous" and for password your name. The file is in the directory pub/vranas (to go to that directory type: cd pub/vranas) and is called lat92_proc.ps (to get it type: get lat92_proc.ps)
Heller Urs M.
Klomfass Markus
Neuberger Herbert
Vranas Pavlos
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