  We propose the inclusive semi-hard production, in proton-proton collisions,
of two bottom-flavored hadrons, as well as of a single bottom-flavored hadron
accompanied by a light jet, as novel channels for the manifestation of
stabilization effects of the high-energy resummation under
next-to-leading-order corrections. Our formalism relies on a hybrid high-energy
and collinear factorization, where the BFKL resummation of leading and
next-to-leading energy logarithms is used together with collinear
factorization. We present results for cross sections and azimuthal correlations
differential in rapidity, which are widely recognized as standard observables
where to hunt for distinctive signals of the BFKL dynamics. We propose the
study of double differential distributions in the transverse momenta of
final-state particles as a common basis to investigate the interplay of
different kinds of resummation mechanisms.
