A search for pair production of neutral heavy Higgs bosons decaying in
to <b(b)over bar> has been carried out in a study of hadronic decays o
f the Z boson into four jet final states using data taken by DELPHI in
1991 and 1992. The two production mechanisms present in the two Higgs
doublets scheme, bremsstrahlung production of hZ and associated prod
uction of hA, may lead to four beauty jets well recognizable using the
precise microvertex detector measurements. No evidence for a signal w
as found, leading to limits on BR(Z -->, hA --> 4b) from 3.5 to 5.5 x
10(-4) at 95% confidence level, depending on the mass of the ligthest
Higgs. When combined with the results of the recent DELPHI standard Hi
ggs search, this result allows the kinematical limit to be reached for
the masses of h and A in the minimal supersymmetric extension of the
Standard Model (MSSM) scheme. It also allows the tan beta less than or
equal to 1 domain to be explored, and a region above the kinematic li
mit for direct hA production is constrained by considering virtual hA
production. Results are also given in the general two-doublet scheme.