论文标题
原始黑洞丰度的峰值统计数据
Peak statistics for the primordial black hole abundance
论文作者
论文摘要
传统的新闻校正（PS）概率分布评估的原始黑洞（PBH）丰度被证明与通过降低Bardeen-Bondeen-Bond-Kaiser-Szalay（BBKS）理论的非物理峰值降低的特殊点状峰统计量的高峰值极限相当。 PBHS以高峰值为单位形成的事实$ν_c\ gg 1 $导致系统偏见与PS方法的预测和物理BBKS峰值理论在一般的三维空间配置中成比例成正比。只要现实的PBHS从空间中的三维密度峰值崩溃，由$ν_C^3 $引导的系统偏见意味着PS方法报告的PBH丰度的明显低估。对于窄尖峰类中的通货膨胀频谱，在所有质量范围内，扩展质量函数的低估至少增加了10倍^{2.5} $，这表明对模型的严格限制是有利于将PBHs视为一定质量范围的所有暗物质的所有暗物质。
The primordial black hole (PBH) abundance evaluated by the conventional Press-Schechter (PS) probability distribution is shown to be equivalent to the high-peak limit of a special point-like peak statistics via unphysical dimensionality reduction of the Bardeen-Bond-Kaiser-Szalay (BBKS) theory. The fact that PBHs are formed at high peak values $ν_c \gg 1$ leads to a systematic bias proportional to $ν_c^3$ between the predictions of the PS method and the physical BBKS peak theory in a general three-dimensional spatial configuration. As long as realistic PBHs are collapsed from three-dimensional density peaks in space, the systematic bias led by $ν_c^3$ implies a significant underestimation of the PBH abundance reported by the PS method. For the inflationary spectrum in the narrow-spike class, the underestimation in the extended mass functions is further enlarged by at least a factor of $10^{2.5}$ in all mass range, indicating a severer constraint to models in the favor of considering PBHs as all dark matter in a certain mass range.
