  We study the energy loss of a heavy quark propagating in the Quark-Gluon
Plasma (QGP) in the framework of the Moller theory, including possible large
Coulomb logarithms as a perturbation to BDMPSZ bremsstrahlung, described in the
Harmonic Oscillator (HO) approximation.
  We derive the analytical expression that describes the energy loss in the
entire emitted gluon frequency region. In the small frequencies region, for
angles larger than the dead cone angle, the energy loss is controlled by the
BDMPSZ mechanism, while for larger frequencies it is described by N=1 term in
the GLV opacity expansion. We estimate corresponding quenching rates for
different values of the heavy quark path and different $m/E$ ratios.
