Abstract
We introduce analytical quantum gravity modifications of the production cross section for terascale black holes by employing an effective ultraviolet cutoff . We find the new cross sections approach the usual “black-disk” form at high-energy, while they differ significantly near the fundamental scale from the standard increase with respect to . We show that the heretofore discontinuous step function used to represent the cross section threshold can realistically be modeled by two functions representing the incoming and final parton states in a high-energy collision. The growth of the cross section with collision energy is thus a unique signature of and number of spatial dimensions . Contrary to the classical black-disk result, our cross section is able to explain why black holes might not be observable in LHC experiments while they could be still within the reach of ultra-high-energy cosmic ray events.
- Received 16 December 2011
DOI:https://doi.org/10.1103/PhysRevD.85.106007
© 2012 American Physical Society