Kristiano Jason, Yokoyama Jun'ichi
Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan.
Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan.
Phys Rev Lett. 2024 May 31;132(22):221003. doi: 10.1103/PhysRevLett.132.221003.
The most widely studied formation mechanism of a primordial black hole is collapse of large-amplitude perturbation on small scales generated in single-field inflation. In this Letter, we calculate one-loop correction to the large-scale power spectrum in a model with sharp transition of the second slow-roll parameter. We find that models producing an appreciable amount of primordial black holes induce nonperturbative coupling on a large scale probed by cosmic microwave background radiation. Our result implies that a small-scale power spectrum can be constrained by large-scale cosmological observations.
原初黑洞最广泛研究的形成机制是单场暴胀中产生的小尺度上大振幅微扰的坍缩。在本快报中，我们在第二个慢滚参数有急剧转变的模型中计算了对大尺度功率谱的一圈修正。我们发现，产生可观数量原初黑洞的模型在宇宙微波背景辐射探测的大尺度上诱导了非微扰耦合。我们的结果意味着小尺度功率谱可以受到大尺度宇宙学观测的限制。
