%0 Journal Article %T Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula %A Fl¨˘vio S. Coelho %A Carlos Herdeiro %A Marco O. P. Sampaio %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevLett.108.181102 %X Recently, in arXiv:1105.2298 [hep-th], we have estimated the energy radiated in the head-on collision of two equal D-dimensional Aichelburg-Sexl shock waves, for even D, by solving perturbatively, to first order, the Einstein equations in the future of the collision. Here, we report on the solution for the odd D case. After finding the wave forms, we extract the estimated radiated energy for D=5,7,9 and 11 and unveil a remarkably simple pattern, given the complexity of the framework: (for all D) the estimated fraction of radiated energy matches the analytic expression 1/2-1/D, within the numerical error (less than 0.1%). Both this fit and the apparent horizon bound converge to 1/2 as D goes to infinity. %U http://arxiv.org/abs/1203.5355v1