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arXiv 1709.05565hep-phastro-ph.COgr-qchep-th
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单场暴胀中的原初黑洞暗物质

Primordial black hole dark matter from single field inflation

Guillermo Ballesteros, Marco Taoso

备注：
minor changes, references added, to appear in PRD
发表信息：
Phys. Rev. D 97, 023501 (2018)
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摘要：

我们提出了一个膨胀模型，能够产生一个人口轻黑洞（约$10^{-16}$ - $10^{-14}$太阳质量），可能占宇宙中的暗物质的显着比例。模型的有效势具有一个近似的拐点所产生的两个循环的顺序对数校正动机良好和微扰粒子物理的例子。这一特征使暴胀子在暴胀结束前减速，增强了标量波动的原始谱，并触发了具有峰值质量分布的有效黑洞产生。在更大的场值下，暴胀的发生要归功于暴胀子和时空曲率之间的一般小耦合。我们使用Press-Schechter和Mukhanov-Sasaki公式精确地计算了原始黑洞的峰值质量和丰度，表明慢滚近似无法按数量级再现正确的结果。我们研究以及一个定性类似的实现的想法，其中的近似拐点是由于竞争条款的通用多项式潜力。在这两个模型中，要求大部分的暗物质丰度以黑洞的形式存在意味着一个小的蓝色标量倾斜，具有相当大的负运行和张量谱，可以被下一代宇宙微波背景探测器探测到。我们还评论了以前的作品的主题。

英文摘要：

We propose a model of inflation capable of generating a population of light black holes (about $10^{-16}$ - $10^{-14}$ solar masses) that might account for a significant fraction of the dark matter in the Universe. The effective potential of the model features an approximate inflection point arising from two-loop order logarithmic corrections in well-motivated and perturbative particle physics examples. This feature decelerates the inflaton before the end of inflation, enhancing the primordial spectrum of scalar fluctuations and triggering efficient black hole production with a peaked mass distribution. At larger field values, inflation occurs thanks to a generic small coupling between the inflaton and the curvature of spacetime. We compute accurately the peak mass and abundance of the primordial black holes using the Press-Schechter and Mukhanov-Sasaki formalisms, showing that the slow-roll approximation fails to reproduce the correct results by orders of magnitude. We study as well a qualitatively similar implementation of the idea, where the approximate inflection point is due to competing terms in a generic polynomial potential. In both models, requiring a significant part of the dark matter abundance to be in the form of black holes implies a small blue scalar tilt with a sizable negative running and a tensor spectrum that may be detected by the next-generation probes of the cosmic microwave background. We also comment on previous works on the topic.

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