Classical ultra-relativistic scattering in ADD

Abstract

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.

12 pages, minor changes

References in corpus (25)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Quantum Gravity and Extra Dimensions at High-Energy Colliders
• On Kaluza-Klein States from Large Extra Dimensions
• Classical Black Hole Production in High-Energy Collisions
• Black Holes and Sub-millimeter Dimensions
• Indirect Collider Signals for Extra Dimensions
• Collider Signatures of New Large Space Dimensions
• Production of Kaluza-Klein States at Future Colliders
• Black Hole Production by Cosmic Rays
• Eikonal Quantum Gravity and Planckian Scattering
• TeV Strings and Collider Probes of Large Extra Dimensions
• Cosmic Rays as Probes of Large Extra Dimensions and TeV Gravity
• Deviations from the $1/r^2$ Newton law due to extra dimensions
• Transplanckian Collisions at the LHC and Beyond
• Low Scale Unification, Newton's Law and Extra Dimensions
• Brane fluctuations and suppression of Kaluza-Klein mode couplings
• Probing extra dimensions using Nambu-Goldstone bosons
• Constraints on extra-dimensional theories from virtual-graviton exchange
• Cosmic Ray Signals from Mini Black Holes in Models with Extra Dimensions: An Analytical/Monte Carlo Study
• Gravitational Scattering in the ADD-model at High and Low Energies
• Gravitational Scattering in the ADD-model Revisited

Cited by in corpus (6)

• Physics searches at the LHC
• Transplanckian bremsstrahlung and black hole production
• Gravitational bremsstrahlung in ultra-planckian collisions
• Classical ultrarelativistic bremsstrahlung in extra dimensions
• Scalar Bremsstrahlung in Gravity-Mediated Ultrarelativistic Collisions
• Vector Bremsstrahlung by Ultrarelativistic Collisions in Higher Dimensions