论文标题
峰和原始黑洞：非高斯的影响
Peaks and primordial black holes: the effect of non-Gaussianity
论文作者
论文摘要
鉴于该领域的最新发展，我们重新评估了局部型非高斯对原始黑洞（PBH）丰度的影响（因此，对PBHS产生的原始功率谱的约束）进行了评估。我们将峰值理论应用于完整的非线性压实，发现非高斯性的影响在质量上与以前的发现相似，但其效果的显着意义要差得多。发现非高斯参数$ f_ \ mathrm {nl}^\ mathrm {localrm {local} $和$ g_ \ mathrm {nl}^\ mathrm {localrm {local} $通常需要大约在较大的1或2阶与以前发现的大约1或2个阶。效果将是削弱PBH限制对原始功率谱对非高斯参数的依赖性，并大大削弱了对非高斯参数（和/或PBH丰度）的约束，这是由于暗物质异位模态的非观念而产生的。我们还考虑了曲率扰动$ζ$与压实$ c $之间的相关性，发现，尽管PBHS在$ c $中可能以稀有峰形成，但这些不一定与$ζ$中的稀有峰相对应 - 对PBH丰度的许多现有计算产生了一些疑问。
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.
