Gauge unification and the supersymmetric light Higgs mass

Abstract

We consider general supersymmetric models with: a) arbitrary matter content; and, b) gauge coupling Unification near the String scale $\sim 10^{17}$ GeV, and derive the absolute upper limit on the mass of the lightest Higgs boson. For a top-quark mass $M_t$= 175 GeV, and depending on the supersymmetric parameter $\tanβ$, this mass bound can be as high as $\sim$ 200 GeV.

Figures (2)

• Figure 1: Running $\alpha_i$'s $(=g_i^2/4\pi)$ for the model discussed in the text (solid lines) and upper perturbative limit (dashed lines) with $t=\log(Q/M_{SUSY})$.
• Figure 2: Radiatively corrected upper bounds on $m_h$ when different Yukawa couplings are present in the model and for different assumptions on the running of gauge couplings. The short-dashed line gives the upper bound in the MSSM.