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We consider b-jet hadroproduction in the quasi-multi-Regge-kinematicsapproach based on the hypothesis of gluon and quark Reggeization in t-channelexchanges at high energies. The preliminary data on inclusive b-jet and banti-b-dijet production taken by the CDF Collaboration at the Fermilab Tevatronare well described without adjusting parameters. We find the main contributionto inclusive b-jet production to be the scattering of a Reggeized gluon and aReggeized b-quark to a b quark, which is described by the effectiveReggeon-Reggeon-quark vertex. The main contribution to b anti-b-pair productionarises from the scattering of two Reggeized gluons to a b anti-b pair, which isdescribed by the effective Reggeon-Reggeon-quark-quark vertex. Our anaysis isbased on the Kimber-Martin-Ryskin prescription for unintegrated gluon and quarkdistribution functions using as input the Martin-Roberts-Stirling-Thornecollinear parton distribution functions of the proton.

Inclusive b and b anti-b production with quasi-multi-Regge kinematics at the Tevatron