Black hole bound on the number of species and quantum gravity at CERN LHC
Black hole bound on the number of species and quantum gravity at CERN LHC
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DOI：
10.1103/physrevd.77.045027
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发表时间：
2008-02-01
影响因子：
5
通讯作者：
Redi, Michele
中科院分区：
文献类型：
--
作者：
Dvali, Gia;Redi, Michele
在具有大量（数量为\(N\)）粒子种类的理论中，黑洞物理学对粒子种类的质量施加了一个上限，等于\(M_{普朗克}/\sqrt{N}\)。这个界限为等级问题提供了一种新的解决方案，其中存在\(N\approx10^{32}\)个引力耦合的种类，例如\(10^{32}\)个标准模型的副本。黑洞界限迫使它们处于弱电标度，从而提供了一个稳定的等级。我们提出了各种论据，表明在这类理论中，有效引力截断降低到\(\Lambda_{G}\approx M_{普朗克}/\sqrt{N}\)，并且在这个标度附近需要一种新的描述。特别是，小于\(\Lambda_{G}^{-1}\)的黑洞已经不再是半经典的。完成形式取决于模型。一种自然的可能性是\(\Lambda_{G}\)是量子引力标度。我们提供的证据表明，在这类情景中，与标准直觉相反，微黑洞对其起源的种类有一种（缓慢消退的）记忆。因此，在大型强子对撞机（LHC）中产生的黑洞将主要衰变成标准模型粒子，而衰变成其他种类的情况可以忽略不计。
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 M-Planck/root N. This bound suggests a novel solution to the hierarchy problem in which there are N approximate to 10(32) gravitationally coupled species, for example 10(32) 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 Lambda(G)approximate to M-Planck/root N and a new description is needed around this scale. In particular, black holes smaller than Lambda(-1)(G) are already no longer semiclassical. The nature of the completion is model dependent. One natural possibility is that Lambda(G) 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.