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The effects of heavy quarks energy loss on the transverse momentum spectra ofsingle muons are studied. The energy loss of heavy quarks when traversing themedium formed in PbPb collisions at $\sqrt{s_\mathrm{NN}}$=5.5 TeV iscalculated by implementing the collision geometry and the quenching weights.The medium density is assumed to decrease at forward pseudo-rapidity and to beproportional with pseudo-rapidity multiplicity $dN/d\eta$. Muons from W decayscan be used as a medium-blind reference to quantify the effect of heavy quarksenergy loss on the single muon production.Comment: to appear in a special issue of Int. J. of Mod. Phys. E (the  proceedings of the 19th International Conference on Ultrarelativistic  Nucleus-Nucleus Collisions: Quark Matter 2006 (QM 2006), Shanghai, China,  14-20 Nov 2006

STUDYING THE ENERGY LOSS OF HEAVY QUARKS VIA SINGLE MUON PRODUCTION IN PbPb COLLISIONS AT $\sqrt{^SNN} = 5.5 {\rm TeV}$