  Experimental data measured in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
show a significant enhancement of events with an unbalanced pair of
reconstructed jet momenta in comparison with p+p collisions. This enhancement
of momentum imbalance is supposed to be caused by the different momentum loss
of the initial back-to-back di-partons by scatterings within the created dense
medium. For investigating the underlying partonic momentum loss we employ the
on-shell transport model BAMPS (Boltzmann Approach for Multi-Parton Scattering)
for full heavy-ion collisions, which numerically solves the 3+1D Boltzmann
equation based on 2->2 as well as inelastic 2<->3 scattering processes,
together with PYTHIA initial state conditions for the parton showers. Due to
the employed test-particle approach jet reconstruction within BAMPS events is
not trivial. We introduce a method that nevertheless allows the microscopic
simulation of the full evolution of the shower particles, recoiled medium
particles, and the underlying bulk medium in one common microscopic framework.
With this method it is possible to investigate the role of the medium recoil
for the momentum imbalance A_J while using well-established background
subtraction algorithms. Due to the available particle information in
configuration as well as momentum space within BAMPS, it is additionally
possible to reproduce the entire evolution of the reconstructed jets within the
medium. With this information we investigate the sensitivity of the jet
momentum loss from the difference in the partonic in-medium path lengths.
