Upper Bounds on the Lightest Higgs Boson Mass in General Supersymmetric Standard Models

J. R. Espinosa; M. Quirós

doi:10.1016/0370-2693(93)90634-T

paper

Upper Bounds on the Lightest Higgs Boson Mass in General Supersymmetric Standard Models

arXiv:hep-ph/9212305 · doi:10.1016/0370-2693(93)90634-T

Abstract

In a general supersymmetric standard model there is an upper bound $m_{h}$ on the tree level mass of the $C P = + 1$ lightest Higgs boson which depends on the electroweak scale, $tan β$ and the gauge and Yukawa couplings of the theory. When radiative corrections are included, the allowed region in the $(m_{h}, m_{t})$ plane depends on the scale $Λ$ , below which the theory remains perturbative, and the supersymmetry breaking scale $Λ_{s}$ , that we fix to $1 T e V$ . In the minimal model with $Λ = 1 0^{16} G e V$ : $m_{h} < 130 G e V$ and $m_{t} < 185 G e V$ . In non-minimal models with an arbitrary number of gauge singlets and $Λ = 1 0^{16} G e V$ : $m_{h} < 145 G e V$ and $m_{t} < 185 G e V$ . We also consider supersymmetric standard models with arbitrary Higgs sectors. For models whose couplings saturate the scale $Λ = 1 0^{16} G e V$ we find $m_{h} < 155 G e V$ and $m_{t} < 190 G e V$ . As one pushes the saturation scale $Λ$ down to $Λ_{s}$ , the bounds on $m_{h}$ and $m_{t}$ increase. For instance, in models with $Λ = 10 T e V$ , the upper bounds for $m_{h}$ and $m_{t}$ go to $415 G e V$ and $385 G e V$ , respectively.

13 pages, latex, IEM-FT-64/92 (5 postscript figures availables upon request)

Upper Bounds on the Lightest Higgs Boson Mass in General Supersymmetric Standard Models

Abstract

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