  In the framework of the k_T-factorization QCD approach we consider the
production of b quark pairs in p\bar p collisions at the Fermilab Tevatron. We
investigate the dependence of the b quark, B meson and decay muon differential
cross sections on the different forms of unintegrated gluon distributions. The
analysis also covers the azimuthal correlations between the b and \bar b quarks
and their decay muons. Our theoretical results agree well with recent data
taken by the D0 and CDF collaborations at Tevatron. Finally, we present our
predictions for muon-muon and muon-jet cross sections at the Tevatron and CERN
LHC conditions.
