We study the associated production of bottomonia and Higgs bosons at hadron
colliders within the factorization formalism of nonrelativistic quantum
chromodynamics providing all contributing partonic cross sections in analytic
form. While such processes tend to be suppressed in the standard model, they
may have interesting cross sections in its minimal supersymmetric extension,
especially at large values of tan(beta), where the bottom Yukawa couplings are
enhanced. We present numerical results for the processes involving the lighter
CP-even h^0 boson and the CP-odd A^0 boson appropriate for the Fermilab
Tevatron and the CERN LHC.Comment: 33 pages, 7 figures, Latex, to appear in Phys. Rev.