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arXiv 2201.13345astro-ph.CO
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峰与原初黑洞:非高斯性的效应

Peaks and primordial black holes: the effect of non-Gaussianity

Sam Young

AI总结:

本研究利用峰理论重新评估局部型非高斯性对原初黑洞丰度的影响,发现其效应远弱于以往结论,从而大幅放宽了对非高斯性参数及暗物质等曲率模式的约束,并指出曲率扰动与紧致化罕见峰不对应,质疑了现有丰度计算。

摘要:

鉴于该领域的最新进展,我们重新评估了局部型非高斯性对原初黑洞(PBH)丰度的影响(并因此评估了由 PBH 产生的对原初功率谱的约束)。我们将峰理论应用于完整的非线性紧致化,发现尽管非高斯性的效应在定性上与先前的发现相似,但其影响显著得多。研究发现,非高斯性参数 $f_\mathrm{NL}^\mathrm{local}$ 和 $g_\mathrm{NL}^\mathrm{local}$ 通常需要分别大 1 或 2 个数量级,才能产生与先前发现的相似效应。该效应将削弱 PBH 约束对原初功率谱与非高斯性参数之间的依赖关系,并大幅削弱因未观测到暗物质等曲率模式而对非高斯性参数(和/或 PBH 丰度)施加的约束。我们还考虑了曲率扰动 $ζ$ 与紧致化 $C$ 之间的相关性,发现尽管 PBH 可能形成于 $C$ 的罕见峰处,但这些并不必然对应于 $ζ$ 的罕见峰——这引起了对许多现有 PBH 丰度计算的质疑。

英文摘要:

In light of recent developments in the field, we re-evaluate the effect of local-type non-Gaussianity on the primordial black hole (PBH) abundance (and consequently, upon constraints on the primordial power spectrum arising from PBHs). We apply peaks theory to the full, non-linear compaction, finding that, whilst the effect of non-Gaussianity is qualitatively similar to previous findings, the effect is much less significant. It is found the non-Gaussianity parameters $f_\mathrm{NL}^\mathrm{local}$ and $g_\mathrm{NL}^\mathrm{local}$ typically need to be approximately 1 or 2 orders of magntiude larger respectively to have a similar to that previously found. The effect will be to weaken the dependance of PBH constraints on the primordial power spectrum on the non-Gaussianity parameters, as well as to dramatically weaken constraints on the non-Gaussianity parameters (and/or PBH abundance) arising from the non-observation of dark matter isocurvature modes. We also consider the correlation between the curvature perturbation $ζ$ and the compaction $C$, finding that, whilst PBHs may form at rare peaks in $C$ these do not necessarily correspond to rare peaks in $ζ$ - casting some doubt on many of the existing calculations of the PBH abundance.

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