content_image/318263.jpg
## 6.3 Size of Effects 

We wish to investigate quantitatively the effect of these extra terms on the 0 th order energy loss. To do so we enforce physicality by restricting the x and k integration limits so that the emitted photon has E$_{γ}$ ≥ m$_{g}$ and leaves the jet with E$_{jet}$ ≥ M$_{Q}$ . For ease of comparison with [305] we set µ = . 5 GeV and α = . 5 fixed. One can see from Fig. 6.2 the large (50-150%) effect on Δ E/E of including the overall prefactor of (1 − x ) $^{2}$. Filling in the “dead cone” makes only a small difference to the energy lost (5-20%); this is a surprise as the “dead cone” is the usual naive justification for heavy quarks having smaller radiative energy loss than light quarks. 

<img src='content_image/318263.jpg'>

