We study the nuclear modification factors R-AA and R-CP of the high transverse momentum (5 < p(t) < 60 GeV/c) distribution of muons in Pb-Pb collisions at LHC energies. We consider two pseudo-rapidity ranges covered by the LHC experiments: |eta| < 2.5 and 2.5 < eta < 4. Muons from semi-leptonic decays of heavy quarks (c and b) and from leptonic decays of weak gauge bosons (W and Z) are the main contributions to the muon p(t) distribution above a few GeV/c. We compute the heavy quark contributions using available pQCD-based programs. We include the nuclear shadowing modification of the parton d...