  Angular correlations between heavy quark (HQ) and its tagged jet are
potentially new tools to gain insight into the in-medium partonic interactions
in relativistic heavy-ion collisions. In this work, we present the first
theoretical study on the radial profiles of B mesons in jets in Pb+Pb
collisions at the LHC. The initial production of bottom quark tagged jet in p+p
is computed by SHERPA which matches the next-to-leading order matrix elements
with contributions of parton shower, whereas the massive quark traversing the
QGP described by a Monte Carlo model SHELL which can simultaneously simulate
light and heavy flavor in-medium energy loss within the framework of Langevin
evolution. In p+p collisions, we find that at lower $p_T^Q$ the radial profiles
of heavy flavors in jets are sensitive to the heavy quark mass. In $0-10\%$
Pb+Pb collisions at $\rm \sqrt{s_{NN}}=5.02$ TeV, we observe an inverse
modification pattern of the B mesons radial profiles in jets at $\rm
4<p_T^Q<20$ GeV compared to that of D mesons: the jet quenching effects narrow
the jet radial profile of B mesons in jets while broaden that of D mesons in
jets. We find that in A+A collisions, the contribution dissipated from the
higher $\rm p_T^Q> 20$ GeV region naturally has a narrower initial distribution
and consequently leads to a narrower modification pattern of radial profile;
however the diffusion nature of the heavy flavor in-medium interactions will
give rise to a broader modification pattern of radial profile. These two
effects consequently compete and offset with each other, and the b quarks in
jets benefit more from the former and suffers less diffusion effect compared to
that of c quarks in jets. These findings can be tested in the future
experimental measurements at the LHC to gain better understanding of the mass
effect of jet quenching.
