  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.
