Classical ultra-relativistic scattering in ADD

Details Classical ultra-relativistic scattering in ADD Classical ultra-relativistic scattering in ADD

2009-03-17

arxiv.org/abs/0903.3019v2

JHEP 0905:074,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, minor changes

Scientific paper

10.1088/1126-6708/2009/05/074

The classical differential cross-section is calculated for high-energy small-angle gravitational scattering in the factorizable model with toroidal extra dimensions. The three main features of the classical computation are: (a) It involves summation over the infinite Kaluza-Klein towers but, contrary to the Born amplitude, it is finite with no need of an ultraviolet cutoff. (b) It is shown to correspond to the non-perturbative saddle-point approximation of the eikonal amplitude, obtained by the summation of an infinite number of ladder graphs of the quantum theory. (c) In the absence of extra dimensions it reproduces all previously known results.

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