Abstract
In some extra dimension theories with a TeV fundamental Planck scale, black holes could be produced in future collider experiments. Although cross sections can be large, measuring the model parameters is difficult due to the many theoretical uncertainties. Here we discuss those uncertainties and then we study the experimental characteristics of black hole production and decay at a typical detector using the ATLAS detector as a guide. We present a new technique for measuring the temperature of black holes that applies to many models. We apply this technique to a test case with four extra dimensions and, using an estimate of the parton-level production cross section error of 20%, determine the Planck mass to 15% and the number of extra dimensions to +-0.75.
Highlights
Assuming that all the Standard Model matter and gauge fields are confined to the physical three-branes in a higher dimensional space, it has been shown that most of the black hole decay products are Standard Model quanta emitted on the brane [7] and are visible experimentally as very spectacular events
We stress that quantum extra dimensional black holes in no way constitute any threat, being distinguished from the more familiar astrophysical variety by being much lighter and highly unstable
It has been shown that these small black holes have modified properties, e.g. they are larger and colder compared to a 4-dimensional black hole with exactly the same mass [5]
Summary
In the black hole event generator CHARYBDIS, which has been used in these studies, the. Where we have used the convention MPnL+2 = 1/G(n+4) where G(n+4) denotes the n + 4 dimensional Newton’s constant [9], so for a fixed black hole mass, the cross section is lower for a higher number of extra dimensions. This convention has been used throughout this paper. The theoretical work to date has been done in the semi-classical approximation This approximation is only valid if MBH ≫ MPL, MBH ≫ TH and the average multiplicity is large, N ≫ 1. This approximation can only be valid at the LHC if the Planck mass is low and even there will be problems if the number of dimensions is large (since this gives a temperature close to the Planck mass and low multiplicity)
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