  We study the cross-section of heavy Higgs production at the LHC within the
framework of the Constrained MSSM. It is not only enhanced by tan^2 beta but
sometimes is also enhanced by the squark contribution. First, we consider the
universal scenario within mSUGRA and find out that to get the desired
enhancement one needs large negative values of A_0, which seems to be
incompatible with the b->s gamma decay rate. To improve the situation, we
release the unification requirement in the Higgs sector. Then it becomes
possible to satisfy all requirements simultaneously and enhance the squark
contribution. The latter can gain a factor of several units increasing the
overall cross-section which, however, is still smaller than the cross-section
of the associated H b bbar production. We consider also some other consequences
of the chosen benchmark point.
