Implications of the precision data for very light Higgs Boson scenarios in2HDM(II)

We present an up-to-date analysis of the constraints the precision data imp ose on the (CP-conserving) Two Higgs Doublet Model of type II with emphasis on the possible existence of very light neutral (pseudo)scalar Higgs boson with mass below 20 - 30 GeV. We show that even in the presence of such lig ht particles, the 2HDM(II) can describe the electroweak data with the preci sion comparable to that given by the SM. Particularly interesting lower lim its on the mass of the lighter neutral CP-even scalar h(0) are obtained in the scenario with light CP-odd Higgs boson A(0) and large tan beta.