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Black hole bound on the number of species and quantum gravity at CERN LHC

2007/10/23 by Gia Dvali, Michele Redi · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.77.045027

published as Phys.Rev.D77:045027,2008 · 15 pages, 2 figures

arxiv created 2007/10/23 · openalex publication_date 2008/02/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In theories with a large number N of particle species, black hole physics imposes an upper bound on the mass of the species equal to MPlanck/√(N). This bound suggests a novel solution to the hierarchy problem in which there are N\ensuremath≈1032 gravitationally coupled species, for example 1032 copies of the standard model. The black hole bound forces them to be at the weak scale, hence providing a stable hierarchy. We present various arguments, that in such theories the effective gravitational cutoff is reduced to \ensuremathΛG\ensuremath≈MPlanck/√(N) and a new description is needed around this scale. In particular, black holes smaller than \ensuremathΛG^\ensuremath-1 are already no longer semiclassical. The nature of the completion is model dependent. One natural possibility is that \ensuremathΛG is the quantum gravity scale. We provide evidence that within this type of scenarios, contrary to the standard intuition, micro-black-holes have a (slowly fading) memory of the species of origin. Consequently, the black holes produced at LHC will predominantly decay into the standard model particles, and negligibly into the other species.

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