The upper limit of the light Higgs Boson mass in the minimal supersymmetric model

Abstract

In the minimal supersymmetric model (MSSM), the Higgs self-interactions are related to the SU _L (2) × U _Y (1) gauge couplings. These relations impose an upper limit on the mass of the lightest Higgs boson of the model. When one-loop radiative corrections to this limit are included, one finds that the corrections are large and grow logarithmically with the supersymmetry breaking scale. Renormalization group techniques are employed in order to sum the leading log radiative corrections to all orders, and the result is that m _h ^o — m _Z converges to an infrared fixed point. However, due to the m ⁴ _t behavior of the dominant term, the radiative corrections can still lift the upper bound on the lightest Higgs mass above the reach of LEP-200. The radiatively corrected upper bound for m _h ^o as a function of mt is presented.