arXiv 2111.024322021-11-03astro-ph.COhep-th

单场暴胀中的相容性条件和原初黑洞

Consistency conditions and primordial black holes in single field inflation

Ogan Özsoy, Gianmassimo Tasinato

备注：: 27 Pages + Appendices, 15 Figures
DOI：: 10.1103/PhysRevD.105.023524

摘要：

我们讨论了新的一致性关系的单场模型的膨胀能够产生原始的黑洞（PBH），和它们的观测的CMB $μ$空间扭曲的影响。这些膨胀模型包括一个短期的非吸引子的演变：曲率扰动的尺度依赖的配置文件的特点是由一个明显的下降，然后由一个快速增长导致的峰值负责PBH的形成。我们调查的压缩和崩溃的三个和四个点函数的曲率扰动周围的倾角的限制，表明他们满足一致性关系连接他们的值的曲率谱的总放大，和非吸引子时代的持续时间。此外，相应的非高斯参数是尺度依赖的倾角附近，再次依赖于光谱的放大功能。对于典型的PBH场景，需要从大尺度到小尺度的频谱的顺序${\cal O}(10^7)$增强，我们通常在可以由CMB $μ$空间失真探测的尺度范围内找到值$f_{\rm NL}^{\rm sq}\,=\,{\cal O}(10)$和$τ_{\rm NL}^{\rm col}\,=\,{\cal O}(10^3)$。使用这些一致性关系，我们仔细分析了非高斯参数的尺度依赖性如何导致$\langle μT \rangle$和$\langle μμ\rangle$的特征，提供了独特的探测通货膨胀PBH的情况下，可以使用很好地理解CMB物理测试。

英文摘要：

We discuss new consistency relations for single field models of inflation capable of generating primordial black holes (PBH), and their observational implications for CMB $μ$-space distortions. These inflationary models include a short period of non-attractor evolution: the scale-dependent profile of curvature perturbation is characterized by a pronounced dip, followed by a rapid growth leading to a peak responsible for PBH formation. We investigate the squeezed and the collapsed limits of three and four point functions of curvature perturbation around the dip, showing that they satisfy consistency relations connecting their values to the total amplification of the curvature spectrum, and to the duration of the non-attractor era. Moreover, the corresponding non-Gaussian parameters are scale-dependent in proximity of the dip, with features that again depend on the amplification of the spectrum. For typical PBH scenarios requiring an order ${\cal O}(10^7)$ enhancement of the spectrum from large towards small scales, we generally find values $f_{\rm NL}^{\rm sq}\,=\,{\cal O}(10)$ and $τ_{\rm NL}^{\rm col}\,=\,{\cal O}(10^3)$ in a range of scales that can be probed by CMB $μ$-space distortions. Using these consistency relations, we carefully analyze how the scale-dependence of non-Gaussian parameters leads to characteristic features in $\langle μT \rangle$ and $\langle μμ\rangle$ correlators, providing distinctive probes of inflationary PBH scenarios that can be tested using well-understood CMB physics.

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。

摘要：

英文摘要：

相关论文