论文标题
峰值理论的应用到原始黑洞的丰度
Application of peaks theory to the abundance of primordial black holes
论文作者
论文摘要
我们考虑将峰理论应用于与原始黑洞（PBH）形成相关的峰值密度的计算。对于PBH，最终质量与形成的扰动的幅度和尺度有关，其中量表被定义为压实函数峰值的尺度。因此，我们扩展了峰值理论，不仅计算给定振幅的峰值，而且计算给定幅度和尺度的峰。简单的拟合公式在与PBH形成相关的高峰极限中给出。我们还适应计算以使用高斯平滑函数，从而确保收敛性，而不管能力谱的选择如何。
We consider the application of peaks theory to the calculation of the number density of peaks relevant for primordial black hole (PBH) formation. For PBHs, the final mass is related to the amplitude and scale of the perturbation from which it forms, where the scale is defined as the scale at which the compaction function peaks. We therefore extend peaks theory to calculate not only the abundance of peaks of a given amplitude, but peaks of a given amplitude and scale. A simple fitting formula is given in the high-peak limit relevant for PBH formation. We also adapt the calculation to use a Gaussian smoothing function, ensuring convergence regardless of the choice of power spectrum.
