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The soft-gluon approximation, which implies that radiated gluon carries awaya small fraction of initial parton's energy, is a commonly used assumption incalculating radiative energy loss of high momentum partons traversing QGPcreated at RHIC and LHC. While soft-gluon approximation is convenient,different theoretical approaches reported significant radiative energy loss ofhigh $p_{\perp}$ partons, thereby questioning its validity. To address thisissue, we relaxed the soft-gluon approximation within DGLV formalism. Theobtained analytical expressions are quite distinct compared to the soft-gluoncase. However, numerical results for the first order in opacity fractionalenergy loss lead to small differences in predictions for the two cases. Thedifference in the predicted number of radiated gluons is also small. Moreover,the effect on these two variables has an opposite sign, which when combinedresults in almost overlapping suppression predictions. Therefore, our resultsimply that, contrary to the commonly held doubts, the soft-gluon approximationin practice works surprisingly well in DGLV formalism. Finally, we also discussgeneralizing this relaxation in the dynamical QCD medium, which suggests a moregeneral applicability of the conclusions obtained here.

Calculating hard probe radiative energy loss beyond soft-gluon approximation: Examining the approximation validity