content_image/303427.jpg content_image/303428.jpg content_image/303432.jpg
Changing variables to y = L − ℓ ⇒ dy = − dℓ and defining ω = 3 κ 2 / $^{3}$ν , the remaining integral in Eq. (D.31) becomes 

<img src='content_image/303427.jpg'>

ω is in fact so large that for any reasonable τ$_{0}$ ∼ . 2 fm, ωτ$_{0}$ ≫ 1. Therefore we arrive at, to leading order, 

<img src='content_image/303428.jpg'>

Since ω ∝ n$_{Q}$/M$_{Q}$ , with the proportionality constant the same for charm and bottom quarks, we still find that the ratio of charm to bottom R$_{AA}$ goes as 

<img src='content_image/303432.jpg'>

Note the essential importance of the plasma formation time, τ$_{0}$ , in Eq. (D.36) in order to reproduce the linear in M$_{c}$/M$_{b}$ behavior. The results of the full 

