论文标题
非扰动非豪斯性和原始黑洞
Non-perturbative non-Gaussianity and primordial black holes
论文作者
论文摘要
我们提出了一种非扰动方法，用于计算原始曲率扰动的任意单点概率分布函数，$ p（ζ）$。在考虑无法使用常规扰动扩张无法治疗的非高斯时，一种非扰动方法至关重要。为了确定密度场的完整统计数据，我们通过等同于累积分布函数将$ζ$与高斯字段联系起来。我们考虑了两个示例：超慢胶卷模型引起的特定本地型非高斯分布，以及带有指数尾巴的$ p（ζ）$的一般分段模型。我们证明了原始黑洞形成的增强是由于中间状态，而不是远端。我们还表明，非高斯性可以对原始黑洞质量分布的形状产生重大影响。
We present a non-perturbative method for calculating the abundance of primordial black holes given an arbitrary one-point probability distribution function for the primordial curvature perturbation, $P(ζ)$. A non-perturbative method is essential when considering non-Gaussianities that cannot be treated using a conventional perturbative expansion. To determine the full statistics of the density field, we relate $ζ$ to a Gaussian field by equating the cumulative distribution functions. We consider two examples: a specific local-type non-Gaussian distribution arising from ultra slow roll models, and a general piecewise model for $P(ζ)$ with an exponential tail. We demonstrate that the enhancement of primordial black hole formation is due to the intermediate regime, rather than the far tail. We also show that non-Gaussianity can have a significant impact on the shape of the primordial black hole mass distribution.
