Raising the Higgs Mass in Supersymmetric Models

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The minimal supersymmetric standard model, and extensions, predicts a relatively light higgs particle if one supposes perturbativity until high scales. That fact is in conflict with nowadays data coming from LEPII fruitless searches for the Higgs boson. This bound is sufficient to rule out a big portion of the parameter space of the MSSM. In this letter we propose two mechanism of raising the higgs mass at tree level, thus not needing very heavy sparticles that would reintroduce some fine-tuning in the problem.