Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-03-18
Physics
High Energy Physics
High Energy Physics - Phenomenology
Impportant modifications. A section has been added to discuss the probability of bulk mode production
Scientific paper
The arrival time coherence of particles in the Ultra High Energy Air Showers where the center of mass energy of the interaction is of the order of $10^{15} eV$, puts strict constraint on the propagation of particles in a hypothetical extra-dimension. We first argue that at such high energies bulk modes and massive KK-modes can be produced abundantly and in many models their phase space volume is larger than confined modes. Then, we study the minimum propagation time in one and two-brane models and show that a large part of the parameter space of these models are ruled out unless the confinement of fields is proteced by symmetries up to energies not accessible even to the high energy tail of Ultar High Energy Cosmic Rays (UHECRs). As a by-product we confirm the result obtained in some previous works about the close relation between a small Cosmological Constant and the hierarchy problem.
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