论文标题
高精度半分析质量功能对暗物质光环中原始黑洞的合并速率的影响
Effect of a High-Precision Semi-Analytical Mass Function on the Merger Rate of Primordial Black Holes in Dark Matter Halos
论文作者
论文摘要
在这项工作中，我们研究了高精度半分析质量功能对暗物质晕圈原始黑洞（PBH）合并速率的影响。为此，我们首先解释了暗物质光环模型的理论框架，并引入相关数量，例如光环密度曲线，浓度参数和高精度的半分析函数，即Del Popolo（DP）质量函数。在下文中，我们在考虑DP质量函数的同时，计算了椭圆形 - 循环暗物质模型框架中PBHS的合并速率，并将其与我们先前针对Sheth-Tormen（ST）质量功能的研究进行了比较。结果表明，通过将PBH的质量作为$ M _ {\ rm pbh} = 30m _ {\ odot} $，DP质量函数可以潜在地扩大PBH的合并率。此外，我们计算了DP质量函数的PBH的合并速率作为其质量和分数的函数，并将其与Ligo-Virgo检测器在最新观察过程中记录的黑洞合并进行比较。我们的发现表明，如果$ f _ {\ rm pbh} \ gtrsim \ Mathcal \ Mathcal {O}（10^{ - 1}）$，则PBHS的合并率将属于Ligo-Virgo频段。这意味着DP质量函数可用于增强对PBHS分数的约束。
In this work, we study the effect of a high-precision semianalytical mass function on the merger rate of primordial black holes (PBHs) in dark matter halos. For this purpose, we first explain a theoretical framework for dark matter halo models and introduce relevant quantities such as halo density profile, concentration parameter, and a high-precision semianalytical function namely Del Popolo (DP) mass function. In the following, we calculate the merger rate of PBHs in the framework of ellipsoidal-collapse dark matter halo models while considering the DP mass function, and compare it with our previous study for the Sheth-Tormen (ST) mass function. The results show that by taking the mass of PBHs as $M_{\rm PBH} = 30M_{\odot}$, the DP mass function can potentially amplify the merger rate of PBHs. Moreover, we calculate the merger rate of PBHs for the DP mass function as a function of their mass and fraction and compare it with the black hole mergers recorded by the LIGO-Virgo detectors during the latest observing run. Our findings show that the merger rate of PBHs will fall within the LIGO-Virgo band if $f_{\rm PBH} \gtrsim \mathcal{O}(10^{-1})$. This implies that the DP mass function can be used to strengthen constraints on the fraction of PBHs.
