Jet suppression is one of the most important probes in studying the properties of QCD matter created at RHIC and LHC experiments. In this proceedings, we concentrate on unexpected (puzzling) suppression data from these experiments, and on the question whether (and to what extent) those puzzling data can be explained from pQCD perspective. To that end, we will present our predictions, which are based on our recent improvements in the energy loss calculations that take into account: (i) theoretical formalism which includes finite size dynamical QCD medium with finite magnetic mass effects and running coupling, and (ii) numerical procedure which includes path-length and multi-gluon fluctuations. Our theoretical predictions, jointly generated for RHIC and LHC by using the same theoretical procedure, same parameter set, and no free parameters, show a very good agreement with the available central collision data. This good agreement strongly suggests that pQCD calculations in quark gluon-plasma can provide a reasonable description of the underlying jet physics at RHIC and LHC. (C) 2014 Elsevier B.V. All rights reserved.