Abstract
Classical ultrarelativistic gravitational bremsstrahlung in particle collisions is studied in the ADD model with d extra dimensions. The main goal in this consideration concerns trans-Planckian energies. The radiation efficiency e ≡ Erad/Einitial is computed in terms of the Schwarzschild radius rS(Ecollision), the impact parameter b and the center-of-mass Lorentz factor γcm and is found to be e = Cd(rS/b)3d+3 times γcm in some d-dependent power, larger than the previous estimates by powers of γcm ≫ 1. The cubic graviton vertex is consistently taken into account, and the approximation is reliable for impact parameters in the range rS < b < bc, with bc marking (for d ≠ 0) the loss of the notion of classical trajectories. It follows that gravitational bremsstrahlung leads to extreme damping in trans-Planckian collisions, and the radiation reaction should be included in the analysis of black hole production.
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