Implications of the precision data for very light Higgs boson scenario in 2HDM(II)

We present an up-to-date analysis of the constraints imposed bythe precision data 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 light particles, the 2HDM(II) can describe the electroweak data with precision comparable to that given by the SM. Particularly interesting lower limits on the mass of the lighter neutral $CP-$even scalar $h^0$ are obtained in the scenario with a light $CP-$odd Higgs boson $A^0$ and large $\tan\beta$.