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arXiv 0710.4344hep-thhep-ph
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LHC粒子数和量子引力对黑洞的束缚

Black Hole Bound on the Number of Species and Quantum Gravity at LHC

Gia Dvali, Michele Redi

摘要:

在具有大量N个粒子种类的理论中,黑洞物理学对种类的质量施加等于M_{Planck} / \sqrt{N}的上限。这一界限提出了一个新的解决方案的层次问题,其中有N \approx 10^{32}引力耦合的物种,例如10^{32}副本的标准模型。黑洞的束缚迫使它们处于弱尺度,从而提供了一个稳定的层次结构。我们提出了不同的论点,在这样的理论中,有效引力截止被简化为Λ_G \approx M_{Planck} / \sqrt{N},需要围绕这个尺度进行新的描述。特别是小于Λ_G^{-1}的黑洞已经不再是半经典的。完成的性质取决于模型。一种自然的可能性是Λ_G是量子引力标度。我们提供的证据表明,在这种情况下,与标准的直觉相反,微型黑洞有一个(缓慢褪色)的物种起源的记忆。因此,LHC产生的黑洞将主要衰变为标准模型粒子,而可以忽略不计地衰变为其他粒子。

英文摘要:

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}/\sqrt{N}. This bound suggests a novel solution to the hierarchy problem in which there are N \approx 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 Λ_G \approx M_{Planck}/\sqrt{N} and a new description is needed around this scale. In particular black-holes smaller than Λ_G^{-1} are already no longer semi-classical. The nature of the completion is model dependent. One natural possibility is that Λ_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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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