4.4 Transverse coordinate ( x, 0) distribution of surviving p$_{T}$ = 15 GeV, Q = g, u, c, b jets moving in direction φ = 0 as indi- cated by the arrows. Units are arbitrary for illustration. The transverse (binary collision) distribution of initial jet production points, ρ$_{Jet}$ ( x, 0), is shown at midrapidity for Au+Au collisions at b = 2 . 1 fm. The ratio ρ$_{Q}$/ρ$_{Jet}$ (see Eq.(4.8)) gives the lo- cal quenching factor including elastic and inelastic energy loss though the bulk QGP matter distributed as ρ$_{QGP}$ ( x, 0). . . . . 100 4.5 Partonic nuclear modification, R II $_{Q}$( p$_{T}$ ) via Eq.(4.7), for g, u, c, b as a function of p$_{T}$ for fixed L=5 fm path length and dN$_{g}$/dy = 1000. Dashed curves include only radiative energy loss, while solid curves include elastic energy loss as well. . . . . . . . . 103 4.6 Heavy quark jet quenching before fragmentation into mesons for dN$_{g}$/dy = 1000. Solid green curves show the results of approach I based on Eq. (4.4) including full geometric path length fluctuations and DGLV radiative and TG elastic energy loss for c and b quarks. Upper and lower yellow bands show predictions using approach II via Eq. (4.7) with effective path lengths taken as L$_{c}$ = 4 . 5 and L$_{b}$ = 6 . 5 fm. As previously noted in Fig. 4.2, the difference between TG and BT curves indicates the magnitude of theoretical uncertainties in the elastic energy loss. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 xiv