论文标题
非高斯对原始黑洞丰度的影响，用于尖锐的原始光谱
Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum
论文作者
论文摘要
我们通过系统地将其在原始曲率扰动的单点概率分布函数中考虑到形成时，在形成时扰动地研究非高斯对原始黑洞（PBHS）的质量分数的影响。我们专注于双光谱和三光谱和得出公式，这些公式描述了它们对分布函数的偏度和峰度的影响。然后考虑到狭窄的光谱的情况，我们获得了简单的公式，这些公式可以简单地表达双光谱的作用。特别是，连同$ g _ {\ rm nl} $和$τ_ {\ rm nl} $参数，我们发现，双光谱的非高斯性参数是双线性的，以实现有效参数，$ f _ {$ rm nl} cy eff of the BiSpectrum。狭窄的光谱形状极限。
We perturbatively study the effect of non-Gaussianities on the mass fraction of primordial black holes (PBHs) at the time of formation by systematically taking its effect into account in the one-point probability distribution function of the primordial curvature perturbation. We focus on the bispectrum and trispectrum and derive formulas that describe their effects on the skewness and kurtosis of the distribution function. Then considering the case of narrowly peaked spectra, we obtain simple formulas that concisely express the effect of the bi- and trispectra. In particular, together with the $g_{\rm NL}$ and $τ_{\rm NL}$ parameters of the trispectrum, we find that non-Gaussianity parameters for various types of the bispectrum are linearly combined to give an effective parameter, $f_{\rm NL}^{\rm eff}$, that determines the PBH mass fraction in the narrow spectral shape limit.
