Impact of nonlinear overdensity statistics on primordial black hole abundance

Impact of nonlinear overdensity statistics on primordial black hole abundance
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非线性超密度统计对原初黑洞丰度的影响

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发表时间:
2020
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影响因子:
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通讯作者:
Rafid Mahbub
Rafid Mahbub
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作者:
Rafid Mahbub

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最近已经证实,如果考虑到过密度扰动和曲率扰动之间的非线性关系,则在过密度统计中引入非高斯性,这改变了期望的原始黑洞丰度。这是通过利用二阶超密度和曲率扰动之间的非线性关系来探索的,其中负偏度和正峰度旨在降低和增加丰度,而通过调整曲率功率谱的幅度获得与高斯扰动相当的丰度。利用玩具模型狄拉克δ和对数正态曲率功率谱,以及从能够产生原始黑洞的$ensuremath{alpha}$吸引子模型得到的功率谱,研究了非消失偏度和峰度的影响。最后,将Press-Schechter非线性计算与峰值理论进行了比较。
It has been recently established that, if the nonlinear relationship between the overdensity perturbations and the curvature perturbations are taken into account, non-Gaussianity is introduced in the overdensity statistics, which alters the expected primordial black hole abundance. This is explored by using the nonlinear relationship between the overdensities and curvature perturbations up to second order, where a negative skewness and positive kurtosis aim at lowering and increasing the abundance, while an abundance comparable to Gaussian perturbations is obtained by adjusting the amplitude of the curvature power spectrum. The effects of the nonvanishing skewness and kurtosis are studied using a toy model Dirac delta and log-normal curvature power spectra as well as one obtained from an $ensuremath{alpha}$-attractor model capable of primordial black hole production. Finally, the nonlinear calculations using Press-Schechter are compared with peaks theory.
DOI: 10.1109/mcse.2021.3059232
发表时间: 2020-10
影响因子: 2.1
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