Eur. Phys. J. C (2008) 53: 109-119
https://doi.org/10.1140/epjc/s10052-007-0444-y

Regular Article - Theoretical Physics

Gravitational scattering in the ADD model at high and low energies

¹ Department of Theoretical Physics, Lund University, Sölvegatan 14A, 22362, Lund, Sweden
² School of Physics and Astronomy, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

^* e-mail: malin.sjodahl@manchester.ac.uk

Received: 21 August 2007
Published online: 7 November 2007

Abstract

Gravitational scattering in the ADD model is considered at both sub- and transplanckian energies using a common formalism. By keeping a physical cut-off in the KK tower associated with virtual KK exchange, such as the cut-off implied by a finite brane width, troublesome divergences are removed from the calculations in both energy ranges. The scattering behavior depends on three different energy scales: the fundamental Planck mass, the collision energy and the inverse brane width. The result for energies low compared to the effective cut-off (inverse brane width) is a contact-like interaction. At high energies the gravitational scattering associated with the extra dimensional version of Newton’s law is recovered.