Classical gravitational radiation from quasi-elastic particle scattering in models with extra dimensions

We derive an equation for the emission of classical gravitational waves due to quasi-elastic $N\rightarrow N$ particle scattering in a model with compactified extra dimensions. In addition to previous classical studies we also calculate additional terms that are suppressed by factors of one over frequency times compactification radius. From this a single formula is given which predicts the energy loss into gravitational radiation from elastic collisions as well in the low as in the high energy limit.