Geometry of large extra dimensions versus graviton emission - art. no. 045016

We study how the geometry of large extra dimensions may affect field theory results on a three-brane. More specifically, we compare cross sections for graviton emission from a brane when the internal space is an N-torus and a N-sphere for N = 2-6. The method we present can be used for other smooth c ompact geometries. We find that the ability of high energy colliders to det ermine the geometry of the extra dimensions is limited but there is an enha ncement when both the quantum gravity scale and N are large. Our field theo ry results are compared with the low energy corrections to the gravitationa l inverse square law due to large dimensions compactified on other spaces s uch as Calabi-Yau manifolds.