76 Chapter 3 v$_{2}$ vs. R$_{AA}$ as a Constraint on sQGP Dynamics 3.1 Introduction A complete theoretical description of Rhic mid- to high- p$_{T}$ particles must reproduce R$_{AA}$ ( φ ), the ratio of observed high momentum leading hadrons in A + A collisions to binary scaled p + p collisions as a function of the angle made with respect to the reaction plane, φ . A useful means of representing this quantity is via Fourier expansion: The goal of theorists, then, is to correctly replicate these moments, the most important being the first two: the normalization and the azimuthal anisotropy. This is actually quite a difficult problem due to the anticorrelated nature of R$_{AA}$ and v$_{2}$ . In order to reproduce the anisotropy of the jet data, the R$_{AA}$ ( φ, p$_{T}$, y ) = R$_{AA}$ ( p$_{T}$, y ) (1 + 2 v$_{2}$ ( p$_{T}$, y ) cos(2 φ ) + . . . ) . (3.1)