p f T = (1 − ϵ ) p i $_{T}$. The importance of multigluon correlation effects is currently unknown and is an important open theoretical problem. 

Also associated with the Poisson convolution is probability leakage, in which P ( ϵ > 1; p$_{T}$ ) unphysically has nonzero weight. For large regions of parameter space at$_{Rhic}$ and$_{Lhc}$ this leakage is quite large due to kinematic constraints neglected in the Poisson approximation. Two common approaches to dealing with this leakage, P$_{excess}$ = ∫ ∞ 1 P ( ϵ ) dϵ , are to reweigh or truncate the distribution. When reweighing the excess is redistributed evenly by renor- malizing the probability: P$_{r}$ ( ϵ ) = P ( ϵ ) /P$_{excess}$ . Truncation takes the excess as total jet absorption: P$_{t}$ ( ϵ ) = P ( ϵ ) θ (1 − ϵ ) + P$_{excess}$δ ( ϵ − 1). Since the Salgado- Wiedemann (SW) quenching weights [269] use infinite jet energy, calculations for realistic jets with finite energy suffer the same problem. Dainese, Loizides, and Paic [296] took two methods for redistributing this excess probability and compared the resulting R$_{AA}$ s; these were taken as an error band, which turned out to be quite large. 

Neither of these proposed schemes is particularly satisfying. While P ( ϵ ) with weight for ϵ > 1 implies that the estimated number of emitted gluons is high, there is no reason to expect the shape of the true distribution to be the same but with a different normalization. And obviously the true shape is different from the truncation method. Relative branching is another Poisson approximation that is an improvement on truncation and renormalization. In 

