Jet shape measurements are employed to explore the microscopic evolution mechanisms of parton-medium interaction in ultra-relativistic heavy-ion collisions. In this study, jet shape modifications are quantified in terms of the fragmentation function , relative momentum , density of charged particles , jet angularity , jet momentum dispersion , and for proton-proton (pp) collisions at 0.9, 2.76, 5.02, 7, and 13 TeV, as well as for lead-lead collisions at 2.76 TeV and 5.02 TeV by JEWEL. A differential jet shape parameter is proposed and studied at a smaller jet radius . The results indicate that the medium has the dominant effect on jet shape modification, which also has a weak dependence on the center-of-mass energy. Jet fragmentation is enhanced significantly at very low , and fragmented jet constituents are linearly spread to larger jet-radii for . The waveform attenuation phenomena is observed in , , and distributions. The results obtained for from to , where the wave-like distribution in collision is ahead of collisions at small jet-radii, indicates a strong medium effect.
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