In the framework of perturbative QCD and nonrelativistic bound state formalism, we calculate the production of Upsilon mesons associated with open-beauty particles at the Tevatron and LHC conditions. We show that the contribution from the Upsilon+b+(b) over bar channel becomes comparable with that of Upsilon sole production at the LHC at high enough transverse momenta, but is small at the Tevatron. We investigate the Upsilon polarization effects and kinematic correlations between Upsilon mesons and the accompanying open-beauty mesons. We show that the correlations are sensitive to the initial k(t) of the colliding partons, and so, can be considered as an additional test discriminating the collinear parton model and the k(t)-factorization approach.
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