Exclusion of black hole disaster scenarios at the LHC

Abstract

The upcoming high energy experiments at the LHC are one of the most outstanding efforts for a better understanding of nature. It is associated with great hopes in the physics community. But there is also some fear in the public, that the conjectured production of mini black holes might lead to a dangerous chain reaction. In this paper we summarize the most straight forward arguments that are necessary to rule out such doomsday scenarios.Comment: 17 pages, 2 figure

Renormalization group improved black hole space-time in large extra dimensions

“…where R H is the Schwarzschild radius corresponding to the energy √ s. The production threshold is usually associated with the higher dimensional Planck scale M cut = M f . At this point it should be mentioned that the possible production of mini black holes at particle colliders does not imply any risk [22,23,24,25]. This approximation of the cross section turned out to also be valid in different approaches (for a discussion see [26,27,28,29,30,31]…”

Black hole remnants due to Planck-length deformed QFT

“…53 Let us also mention some papers known to us addressing the question of modified potential due to deformed propagator [54][55][56][57][58] and some of the papers devoted to the black hole remnants due to Planck-length deformed field theory. 53,[59][60][61][62][63][64][65][66][67][68] It was shown that for black holes with inner (Cauchy) horizon no remnant formation is expected due to the so called mass inflation instability. 69,70 In our case, however, thanks to the properties of the potential described in the text, one can have at most one horizon, and if the horizon is present it is much like the Schwarzschild case and, therefore, this type of instability does not occur.…”

Black holes and the LHC: A review

“…The recent analysis shows that the macroscopic effects of TeV-scale black holes should have already been seen in various astrophysical environments if those black holes are dangerously long-lived or even stable [14,15]. This analysis is important since it excludes the possibility that any mini black holes that might be produced by the LHC could cause catastrophic damage.…”

“…In the models with large or highly warped extra dimensions, gravity becomes strong at a low scale in a TeV range so that one can conclude that a collider with a multi-TeV collision energy, such as the LHC, can produce black holes with TeV −1 sized event horizons. Some rough estimation using the geometric cross-section for black hole production, σ ∼ πr s ( √ s) 2 , were made by Banks and Fischler (1999) [11], Giddings and Thomas (2001) [12], and Dimopoulos and Landsberg (2001) [13] have drawn considerable attention not only from physics communities focused on high energy, string theory, general relativity, numerical relativity, and cosmology, but also from the general public including even opponents of the LHC experiment (see [14] and [15] for scientific responses to the opponents). We also note that Argyres et al (1998) [16] considered the TeV scale primordial black holes as dark matter candidates or as seeds for early galaxy formation.…”