  We investigate the high-energy behavior of strong interactions through a
study on the inclusive hadroproduction of charmed $B$-mesons ($B_c$ or $B_c^*$
states) accompanied by non-charmed $b$-hadron or light-flavored jet emissions
at LHC energies and kinematic configurations. By making use of the hybrid
high-energy and collinear factorization, where the standard fixed-order
description based on collinear parton densities and fragmentation functions is
enhanced via the Balitsky-Fadin-Kuraev-Lipatov (BFKL) resummation of energy
logarithms, we perform a full next-to-leading order analysis of distributions
differential in rapidities and azimuthal angles calculated by the hands of the
JETHAD multi-modular working package. The large observed transverse momenta
justify the use of non-relativistic QCD next-to-leading order fragmentation
functions to describe the heavy-flavored meson production mechanism. We come
out with the conclusion that the study of this process can be included in
forthcoming analyses at the (high-luminosity) LHC as a tool to access the QCD
dynamics at high energies and to explore possible common ground between
different resummation approaches.
