In supersymmetric models, the maximum possible mass of a Higgs boson can vary depending on the specific details of the model and its parameters. However, in general, supersymmetry introduces new particles and interactions that can help stabilize the mass of the Higgs boson and prevent it from becoming too large due to quantum corrections.
The Standard Model Higgs boson has a measured mass of approximately 125 GeV/c^2. In some supersymmetric models, the mass of the Higgs boson can be significantly higher, potentially reaching values of several hundred GeV/c^2 or even higher. However, the precise maximum mass of the Higgs boson in supersymmetric models is model-dependent and can vary.
It's important to note that supersymmetry is an extension of the Standard Model that has not yet been experimentally confirmed. Despite extensive searches at particle colliders like the Large Hadron Collider (LHC), no evidence of supersymmetric particles or higher-mass Higgs bosons has been found so far.
The discovery or exclusion of supersymmetry and higher-mass Higgs bosons would have significant implications for our understanding of particle physics. Ongoing research, experimental investigations, and future collider experiments will continue to explore the predictions of supersymmetry and its implications for the Higgs boson and other fundamental particles.